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  • 2000-2004  (15)
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  • Engineering  (1,410)
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  • 1
    ISSN: 1433-0385
    Keywords: Schlüsselwörter: Tissue Engineering ; Mesenchymale Stammzellen ; Knochen ; Knorpel. ; Keywords: Tissue engineering ; Mesenchymal stem cells ; Bone ; Cartilage.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Description / Table of Contents: Abstract. Tissue engineering offers the possibility to fabricate living substitutes for tissues and organs by combining histogenic cells and biocompatible carrier materials. Pluripotent mesenchymal stem cells are isolated and subcultured ex vivo and then their histogenic differentiation is induced by external factors. The fabrication of bone and cartilage constructs, their combinations and gene therapeutic approaches are demonstrated. Advantages and disadvantages of these methods are described by in vitro and in vitro testing. The proof of histotypical function after implantation in vivo is essential. The use of autologous cells and tissue engineering methods offers the possibility to overcome the disadvantages of classical tissue reconstruction – donor site morbidity of autologous grafts, immunogenicity of allogenic grafts and loosening of alloplastic implants. Furthermore, tissue engineering widens the spectrum of surgical indications in bone and cartilage reconstruction.
    Notes: Zusammenfassung. Tissue engineering ermöglicht die Herstellung lebender Konstrukte zum Gewebeersatz durch die Kombination histogener Zellen und biokompatiblen Trägermaterialien. Pluripotente mesenchymale Stammzellen können isoliert, ex vivo vermehrt und ihre gewebetypische Differenzierung durch Faktoren induziert werden. Es wird die Herstellung von Knochen- und Knorpelkonstrukten, deren Kombination sowie gentherapeutische Ansätze dargestellt. Vor- und Nachteile der Methoden werden durch in vitro und in vivo Testung beschrieben. Essentiell ist der Nachweis der gewebetypischen Funktion der Konstrukte nach Implantation in den Defekt. Die Verwendung autogener Zellen und Methoden des Tissue engineerings bietet die Möglichkeit die Probleme des klassischen Gewebeersatzes – Morbidität der autogenen Spenderstelle, Immunogenität des allogenen Transplantats und Lockerung von alloplastischen Implantaten – zu überwinden und erweitert das Indikationsspektrum in der rekonstruktiven Chirurgie.
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  • 2
    ISSN: 1433-0385
    Keywords: Schlüsselwörter: Gentherapie ; Knochen ; Fraktur ; Wachstumsfaktoren. ; Keywords: Gene therapy ; Bone ; Fracture ; Growth factors.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Description / Table of Contents: Abstract. Gene therapy in orthopedic surgery is a new technic based on the idea of biological tissue healing. External gene segments are transferred to cells that overexpress growth factors locally to achieve this effect. The influence of growth factors on fracture healing is very well documented in the literature. Experimental data demonstrate that defect healing in bone can be accelerated by the application of different cytokines in vivo. Gene transfer is a promising, new technic of in situ tissue engineering that will enter clinics within the next decade.
    Notes: Zusammenfassung. Gentherapie in der Orthopädischen Chirurgie ist eine neue Technik, die auf der Idee basiert, die biologische Gewebeheilung zu unterstützen. Um dies zu erreichen, werden externe Gensegmente auf Zellen transferiert, die in Folge vermehrt Wachstumsfaktoren im Bereich der Fraktur produzieren. Die Wirkung von Wachstumsfaktoren auf die Frakturheilung ist gut dokumentiert. Die bislang durchgeführten tierexperimentellen Studien demonstrieren eine gute Beeinflussbarkeit der knöchernen Defektheilung. Der Gentransfer kann als eine neue erfolgversprechende Technik des in situ Tissue Engineering angesehen werden, mit deren klinischer Anwendung in der nächsten Dekade gerechnet werden darf.
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  • 3
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    Materials research innovations 3 (2000), S. 313-323 
    ISSN: 1433-075X
    Keywords: Keywords Glass ; Cell cycle ; Genes ; Bone ; Bioactive materials ; Osteogenesis ; Prostheses ; Omplants ; Ageing ; Osteoblasts
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract  Many of the present generation biomaterials are still based upon the early concept that implantable materials should be bioinert and therefore designed to evoke minimal tissue response, if none. However, a growing body of clinical data demonstrates that the long survivability of these materials is hampered by high rates of failure, which is primarily attributed to interfacial instability. It has therefore become understood that this approach is not optimal. Modern approaches implicate the use of biomaterials that can actively interact with tissues and induce their intrinsic repair and regenerative potential. This involves control over the cell cycle, the molecular framework that controls cell proliferation and differentiation. Class A bioactive glass-ceramic materials were the first materials shown to endorse these properties and, depending upon the rate of resorption and release of ions, can create chemical gradients with specific biological actions over cells and tissues. Optimising this bioactive regenerative capacity of Bioactive glass-ceramics offers great hope for producing biomaterials that can stimulate growth, repair, and regeneration of any human tissue.
    Type of Medium: Electronic Resource
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  • 4
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    Springer
    Virchows Archiv 436 (2000), S. 74-81 
    ISSN: 1432-2307
    Keywords: Key words Ochronosis ; Bone ; Cartilage ; Arthropathy ; Alkaptonuria
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Abstract  An ochronotic femoral head has been studied morphologically under the light and the electron microscope. Its articular cartilage showed the alterations already reported in the literature, mainly consisting of erosions of the surface, pigment accumulation in chondrocytes and intercellular matrix, chondrocyte degeneration, the formation of pigmented, calcified and uncalcified microshards, and the presence of granulation tissue with macrophagic cells. The changes in bone were less severe than those in cartilage. Pigment was present in the calcified matrix. This did not seem to disturb the organization of the bone tissue, although it was diffusely osteoporotic, perhaps because of limb disuse. The preservation of calcified matrix might depend on the fact that its collagen fibrils are encrusted by mineral substance, which avoids the dangerous effects that the deposition of ochronotic pigment induces in the fibrils of soft connective tissues. On the other hand, the newly formed osteoid matrix remains uncalcified for too short a time to be modified by the pigment. Diffuse or granular pigmentation was found in a few osteocytes, while several of them were condensed or reduced to cellular fragments. Bone resorption often occurred near these osteocytes. However, this did not seem to alter the degree of bone remodelling, possibly because of the relatively low numbers of degenerated or dead osteocytes. Pigment was also contained in the cytoplasmic vacuoles of otherwise active osteoclasts, whereas it was not found in osteoblasts. On the whole, ochronosis in bone seems to induce the same changes as in other connective tissues. However, their severity appears to be limited by calcification, which prevents modifications in collagen fibrils, and by bone remodelling, which to some extent eliminates the oldest, pigment-richest parts of the tissue.
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  • 5
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    Pediatric nephrology 14 (2000), S. 629-635 
    ISSN: 1432-198X
    Keywords: Key words Histomorphometry ; In situ hybridization histochemistry ; Molecular morphometry ; Immunohistochemistry ; Bone
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Abstract  Quantitative histomorphometric assessment of bone biopsies represents a powerful and informative method for the study of metabolic bone diseases. It is the gold standard against which the noninvasive ”diagnostic” markers of bone metabolism as well as newly available therapeutic modalities are tested. With the rapid progress in technology of molecular biology, identification of systemic and local biomolecules known to regulate bone metabolism can now be achieved. The study of localization, levels of expression, and synthesis of these factors in bone and its microenvironment is possible through applications of in situ hybridization histochemistry (ISHH) and immunohistochemistry (IHC). Application of ISHH allows study of specific mRNA expression. IHC determines the presence and distribution of target protein in cells. These two methodologies provide the link between the cellular processes of mRNA transcription and translation to the working protein. Combining the established bone histomorphometric techniques with ISHH and IHC elevates the study of bone to new heights, i.e., cellular and molecular mechanistic issues can now be studied.
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  • 6
    ISSN: 1432-198X
    Keywords: Key words Renal disease ; Bone ; Muscle ; Renal osteopathy
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Abstract  Bone structure and muscular strength of 30 children with renal disease were investigated by peripheral computed tomography and grip strength. Sixteen children suffered from nephrotic syndrome (NS) and had previously been treated with corticosteroids. Fourteen children suffered from chronic renal failure (CRF) ranging from mild renal failure to end-stage renal disease. Six children had received kidney transplants and corticosteroids for immunosuppression. There was a significant decrease in grip strength of children with NS (SD –0.91± 1.5; P=0.042) and children with CRF (SD –1.38±1.4; P〈0.001) compared with normal children. Furthermore, there was a significant correlation between cortical area and grip strength in all children with renal disease (r=0.92; P〈0.0001). Trabecular bone mineral density did not correlate well with grip strength. These findings resemble results found in healthy children. Trabecular bone mineral density was significantly elevated in children with CRF compared with normal children (SD 1.14±1.4; P=0.008).Grip strength as a marker of muscle mass and cortical area as a marker of bone strength correlate well in children with renal disease, similar to the correlation in healthy children. Grip strength is significantly lower in children with NS and CRF compared with normal children. These data suggest that muscular impairment could be involved in renal osteopathy.
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  • 7
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    European radiology 10 (2000), S. 1832-1835 
    ISSN: 1432-1084
    Keywords: Key words: Platyspondyly ; MRI ; Progressive pseudorheumatoid dysplasia ; Bone ; Osteochondrodysplasia
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Abstract. A rare case of progressive pseudorheumatoid dysplasia (PPD) in a 9-year-old girl is presented. Clinically, chronic painless swollen joints, accompanied by progressive motion restriction and progressive walking difficulties, were found. Radiologically, there was enlargement of the epimetaphyseal portions of the large joints, metacarpal heads, and phalanges, and generalized platyspondyly with irregular delineation of the endplates of the vertebral bodies. The radioclinical features at the peripheral joints were originally misdiagnosed as juvenile rheumatoid arthritis (JRA), and the structural spinal abnormalities were neglected and interpreted as Scheuermann's disease. However, the absence of active inflammatory parameters argues against JRA, whereas the low age of onset of the irregularities at the vertebral endplates is an argument against the diagnosis of Scheuermann's disease. The combination of the dysplastic abnormalities of the spine, with platyspondyly and Scheuermann-like lesions at an unusually low age of onset, and radiological features mimicking JRA of the peripheral joints, is the clue to the diagnosis of this rare autosomal-recessive disease. This case is the first to document the MRI features of PPD of the spine.
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  • 8
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    Skeletal radiology 29 (2000), S. 548-552 
    ISSN: 1432-2161
    Keywords: Key words Melorheostosis ; Dysplasia ; Bone ; Lower extremity ; Radiographs ; Specimen radiographs
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Abstract  Melorheostosis is an unusual mesenchymal dysplasia, which commonly presents on radiographs as longitudinal bars of hyperostosis in osseous structures. We present a case of melorheostosis in the lower extremity of a 20-year-old woman for which detailed radiologic– pathologic correlation was achieved due to amputation of the involved limb.
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  • 9
    ISSN: 1615-3146
    Keywords: Key words Alkaline phosphatase ; Bone ; Lectin precipitation ; Fracture ; Osteoblast activity
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Abstract Serum activity of bone specific alkaline phosphatase, a product of differentiated osteoblasts, is thought to mirror fracture healing. The precise time course after various conditions involving bone healing is, however, poorly described. The aim of our study was to evaluate sequential changes of bone alkaline phosphatase over a period of 20 weeks in traumatized patients with and without bone injuries. The bone isoenzyme of alkaline phosphatase was determined in frozen serum samples using a new automated procedure based on the wheat germ lectin precipitation method. Patients were stratified into different groups: 1. ST – soft tissue injury without bone participation; 2. DF – diaphysial fracture of tibia or femur; 3. MT – patients suffering from multiple traumas; 4. PF – proximal femur fracture, treated with dynamic hip screw; and 5. EP – femur neck fracture, treated with cemented endoprosthesis. Similar values were obtained in all measured groups on the day of admission (ST 35.83±6.15 U/l; PF 27.37±4.43 U/l; EP 31.09±7.42 U/l). In the following measurements, enzyme activity decreased significantly in all groups to reach a nadir within the first week, ranging between 41 and 82% of the activity immediatly postoperative. Thereafter, a substantial increase occurred in all groups investigated. In the ST group, this increase led to an activity level that was comparable to the first posttraumatic value (39.06±7.81 U/l). In contrast, average values in all other groups revealed a further increase, which was significantly elevated compared to measurements taken the first day after trauma (DF 74.36±10.84 U/l; MT 177.87±30.0 U/l; PF 93.39±22.08 U/l; EP 51,52±7.33 U/l). Additionally, the time to reach the peak in enzyme activity differed between groups. In the MT group, it was observed as early as 3 weeks after injury, in the DF group the peak was reached as late as 6 weeks after trauma. The results of the study indicate that bone alkaline phophatase activity undergoes a specific pattern of changes after trauma. It may be assumed that the initial decrease is part of a general stress response to trauma and operation. The subsequent increase seems to depend from the magnitude of bone repair and the type of fracture healing, e.g. diaphysial fracture healing takes longer time than cancellous bone healing. These results seem to be a useful basis in order to establish a laboratory monitoring of fracture healing in subsequent studies.
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  • 10
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    Annals of biomedical engineering 28 (2000), S. 1200-1209 
    ISSN: 1573-9686
    Keywords: Bone ; Bone fluid ; Mixing ; Lacunar-canalicular porosity ; Metabolism ; Mass transport ; Poroelasticity
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine , Technology
    Notes: Abstract A mathematical model is developed to explain the fundamental conundrum as to how during cyclic mechanical loading there can be net solute (e.g., nutrient, tracer) transport in bone via the lacunar-canalicular porosity when there is no net fluid movement in the canaliculi over a loading cycle. Our hypothesis is that the fluid space in an osteocytic lacuna facilitates a nearly instantaneous mixing process of bone fluid that creates a difference in tracer concentration between the inward and outward canalicular flow and thus ensures net tracer transport to the osteocytes during cyclic loading, as has been shown experimentally. The sequential spread of the tracer from the osteonal canal to the lacunae is investigated for an osteon experiencing sinusoidal loading. The fluid pressure in the canaliculi is calculated using poroelasticity theory and the mixing process in the lacunae is then simulated computationally. The tracer concentration in lacunae extending radially from the osteonal canal to the cement line is calculated as a function of the loading frequency, loading magnitude, and number of loading cycles as well as the permeability of the lacunar-canalicular porosity. Our results show that net tracer transport to the lacunae does occur for cyclic loading. Tracer transport is found to increase with higher loading magnitude and higher permeability and to decrease with increasing loading frequency. This work will be helpful in designing experimental studies of tracer movement and bone fluid flow, which will enhance our understanding of bone metabolism as well as bone adaptation. © 2000 Biomedical Engineering Society. PAC00: 8716Uv, 8719Rr, 8716Ac
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  • 11
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    Supportive care in cancer 8 (2000), S. 398-404 
    ISSN: 1433-7339
    Keywords: Key words Bisphosphonate ; Hypercalcemia ; Breast cancer ; Bone ; Osteoclast
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Abstract  Bisphosphonates are now the standard treatment for tumor-induced hypercalcemia (TIH), and pamidronate can normalize serum Ca in at least 90% of the patients treated for the first time. However, there are few data on the treatment of TIH when it recurs, and published results are contradictory. We studied 29 patients with solid tumors, 14 of whom had breast cancer and all of whom were naive to bisphosphonate therapy. They were retreated with pamidronate (median dose 1 mg/kg for both courses) for recurrence of TIH after a median interval of 78 (range 7–297) days. Fourteen of them, 7 of whom had breast cancer, were treated a third time 28 (range 5–79) days after the second course (median dose of pamidronate 1.5 mg/kg). Baseline Ca levels were not significantly different before each course, but the nadirs after each treatment progressively increased, 9.3±0.2 mg/dl, 10.5±0.3 mg/dl, and 12.3±0.4 mg/dl after the 1st, 2nd and 3rd administrations, respectively (P〈0.05). The percentage of treatment failures also progressively increased: 10%, 31% and 85% (P〈0.05). This decreased hypocalcemic effect was essentially observed in patients without bone metastases or with tumors other than breast cancer. Thus, in patients without bone metastases, Ca levels did not decrease at all after the 3rd course, whereas the responses were not significantly different between the three courses in patients with bone metastases. Baseline urinary hydroxyproline, a marker of bone resorption, increased progressively from course to course, especially in patients with bone metastases or breast cancer, but this was not the case for parameters of bone formation. There was also a progressive increase in PTHrP levels accompanied by an increase in the number of patients with enhanced kidney reabsorption of Ca and a decrease in the threshold for Pi excretion, which was significant in patients without bone metastases. In conclusion, pamidronate was progressively less efficient when hypercalcemia recurred. This was observed mainly in patients with hypercalcemia of humoral origin. Tumor progression is accompanied by an enhanced release of osteolytic factors, notably PTHrP, that increase bone resorption and enhance kidney calcium reabsorption, especially in patients without bone metastases. When both phenomena occur, the response to bisphosphonates becomes minimal and the usefulness of therapy questionable.
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  • 12
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    European journal of plastic surgery 23 (2000), S. 301-304 
    ISSN: 1435-0130
    Keywords: Key words Titanium ; Implants ; Bone ; TOF–SIMS
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Abstract  In order to study commercially pure (CP) titanium bone interaction and integration mechanism, titanium implant bone interface formed for 1, 3 and 6 months was examined and analyzed by advanced TOF–SIMS analysis. The results obtained show: 1) Titanium and bone tissue integrated closely; 2) The action between CP titanium and bone tissue is a reactive process; both physical and chemical integration occur at the titanium–bone interface; 3) Titanium diffuses into the bone tissue, though the diffusion density is limited; 4) The diffusion area of titanium into bone tissue noted during the follow-up period is up to 100 μm. In this paper the titanium bone integration mechanism was studied, both at molecular and anatomic level.
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  • 13
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    European journal of plastic surgery 23 (2000), S. 423-428 
    ISSN: 1435-0130
    Keywords: Key words Absorbable ; Bone ; Membrane ; Osteogenesis ; Polyglycolide ; Tissue engineering
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Abstract  This study is part of a series of studies evaluating self-reinforced polyglycolide (SR-PGA) membranes. The aim of this study was to evaluate the effect of SR-PGA membrane on osteogenesis in order to assess its use in tissue engineering and bone regeneration. SR-PGA membranes (15×20 mm) were implanted over the femoral diaphyseal bone of 27 Wistar rats (over the periosteum). Each membrane was stabilized using a Dexon suture cerclage. Rats were followed-up for 1, 2, 3, 6, 8, 15 and 30 weeks. Histology and microradiography were used to evaluate bone formation. The membranes were excised and tested for their tensile strength properties, the results of which are published in a separate report. Bone formation periosteally was seen in 21/27 cases (77.8%, confidence interval 57.7–91.4). It occurred in all cases at 1, 2 and 3 weeks. At 6 weeks, it was seen in three out of four cases but at 8 weeks, only in one out of three cases. Bone formation seen as thickened cortex was detected at 15 weeks in all of the three cases and at 30 weeks in three out of six cases. Hence, bone formation was seen in most of the cases when SR-PGA membranes were applied around rats’ femora. They can be recommended for use in bone tissue engineering and regeneration.
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  • 14
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    Journal of bone and mineral metabolism 18 (2000), S. 305-316 
    ISSN: 1435-5604
    Keywords: Key words Utah paradigm ; Bone ; Joint ; Ligament ; Biomechanics ; Osteoporosis
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Abstract In a 1960 paradigm of skeletal physiology, effector cells (chondroblasts, fibroblasts, osteoblasts, osteoclasts, etc.) regulated by nonmechanical agents wholly determined the architecture, strength, and health of bones, joints, fascia, ligaments, and tendons. Biomechanical and tissue-level phenomena had no roles in that paradigm. Subsequent studies and evidence slowly revealed skeletal tissue-level mechanisms and their functions, including biomechanical ones, as well as "game rules" that seem to govern them. That slow discovery process found that effector cells are only parts of tissue-level mechanisms, as kidney cells are only parts of nephrons and wheels are only parts of cars. Normally all those things help to determine skeletal architecture, strength, and health, and adding them to the 1960 paradigm led to the still-evolving Utah paradigm of skeletal physiology that concerns, in part, how load-bearing skeletal organs adapt to the voluntary mechanical loads on them. That caused controversies this article does not try to resolve; instead, it describes some issues they concern. In that regard, controversy can depend on how one assesses the relevance of facts to a problem more than on their accuracy. If a paradigm added new facts to a former one and the new one's advocates viewed all those facts as relevant, but the former's advocates questioned the relevance of some of the new facts, their views about a problem could differ even though each view depended on accurate facts. Readers would make their own judgments about the bearing of those ideas on this article's content.
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  • 15
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    Journal of orthopaedics and traumatology 1 (2000), S. 11-16 
    ISSN: 1590-9999
    Keywords: Key words Hydroxyapatite ; Bone ; Interface ; Electron microscopy
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Abstract We performed a back-scattered electron microscopy analysis of the interface between newly formed bone and hydroxyapatite coating, in an experimental rabbit model. Twenty cylinders made of Ti6A14V and coated with hydroxyapatite at different crystallinity were implanted in the distal femural canal and retrieved at 4, 8, 26 an 34 weeks. Crystallinity of the coating varied from 90% to 60% and thickness varied between 50 and 100 μm. Osteocytes were detectable a few micrometers in proximity of the coating. They produced new bone which was so tightly apposed to the coating that high magnification BSEM did not resolve any discontinuity at the interface. This was not observed in uncoated implants. Degradation of the hydroxyapatite coating is not a simple hydrolytic process because newly formed bone is remodelled in areas were a tight apposition with hydroxyapatite is present. The coatint itself is likely to be attacked by the resorptive action of multinucleated giant cells and osteoclasts. In conclusion, response to coated samples is morphologically characterized by tight apposition with bone. The substitution of areas of the coating by newly formed bone is possible.
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  • 16
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    Calcified tissue international 36 (1984), S. S25 
    ISSN: 1432-0827
    Keywords: Remodeling ; Bone ; Stress
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Medicine , Physics
    Notes: Summary It has long been known that the stress history of bone tissue influences its structure; however, the nature of this relationship remains largely uncharacterized. The objective of this work was to induce a quantifiable change in the stress history ofin vivo bone tissue and examine subsequent changes in structural and material properties that might occur. Continuous compressive loads were applied to the diaphysis of adult mongrel dogs for 2 months. The loads, ranging from 12–130 N, were superposed on the normal activity of the animals by implanting spring loading devices on the diaphysis of the femur. After the animals were sacrificed, mid-diaphysial specimens were subjected to compression testing to determine a structural bulk stiffness. The cross-sectional areas of original bone tissue and new bone deposition were then determined. The ash weights of selected specimens were also determined. The results indicate that a positive correlation between the increase in cross-sectional area and the superposed stress does exist. The new bone apposition was found almost entirely on the periosteal surface. Very little evidence of internal remodeling or endosteal movement was observed. The new tissue was found to have a lower ash weight and appeared to have a disorganized microstructure. Mechanical testing also suggests that the newly deposited tissue is far less stiff than the mature original bone.
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  • 17
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    Anatomy and embryology 170 (1984), S. 57-62 
    ISSN: 1432-0568
    Keywords: Airpolishing ; Orientation effects ; Enamel ; Dentine ; Bone
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Summary Bone, dentine and enamel samples were treated with a gas-propelled jet of an abrasive, NaHCO3, which is physically much softer than any of these tissues in their fully mineralised condition. It was nevertheless found that they are all eroded by this treatment, which can therefore be used as a new kind of qualitative test of physical properties relating to wear resistance. General correlations were found between both degree of mineralisation and between structure orientation and erosion rate, surface-parallel-feature zones being worn more rapidly. Bone domains with surface-parallel collagen were eroded faster than those with perpendicular lamellae even if they were more densely mineralised. Rates of dentine wear depended on both density and tubule orientation, with peritubular zones and better mineralised incremental layers being more resistant. Enamel tufts wear more rapidly than the surrounding well mineralised regions. Enamel diazones wear less than parazones (areas with surface parallel prisms). At the prism scale, enamel is removed more rapidly near prism boundary discontinuities and in tubular enamel, at tubule walls. As regards the common orientation dependent effects seen in these three tissues, a cohesive explanation would be that structure discontinuities can be better exploited in a wear process if they allow cleavage from the surface; which tendency will increase with parallelism to the surface.
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  • 18
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    Calcified tissue international 36 (1984), S. S19 
    ISSN: 1432-0827
    Keywords: Bone ; Remodeling ; Microdamage
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Medicine , Physics
    Notes: Summary A conceptual framework is presented for understanding and investigating structural adaptation of cortical bone. The magnitudes, orientations, and sense (tension or compression) of the physiologically incurred cyclic principal strains vary markedly throughout the skeleton. It is probable, therefore, that the strain/remodeling response of bone is site specific. Furthermore, there is some indication that immature bone is more responsive to alterations of cyclic strains than mature bone. Animal experimental studies and complementary stress and strain analyses suggest that the structural adaptation due to changes in cyclic strain fields may be a very nonlinear response. Bone loss in mature animals due to immobilization is sensitive to even small changes in the cyclic bone strains. Under normal conditions, however, there appears to be a broad range of physical activity in which bone is relatively unresponsive to changes in loading history. With severe repeated loading, bone hypertrophy can be pronounced. These observations open the possibility that bone atrophy and hypertrophy are controlled by different mechanisms. Therefore, two (or more) complementary control systems may be involved in the regulation of bone mass by bone cyclic strain histories. It is probable that bone mechanical microdamage is one control stimulus for affecting an increase in bone mass.
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  • 19
    ISSN: 1432-0827
    Keywords: Maize ; Vitamin D deficiency ; Bone ; Rickets ; Osteomalacia
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Medicine , Physics
    Notes: Summary Three groups of young baboons were fed for 16 months on one of three diets. The first group was given a well-tried semisynthetic formula, the second group the same diet save that vitamin D had been omitted, and the third group was given the vitamin D-free diet in which maize replaced the dextrin normally used. Although both groups fed the vitamin D-free diets developed rickets and osteomalacia, the group receiving maize did so far more rapidly and to a much greater degree of severity, as evidenced by clinical, radiological, biochemical, and histological signs. The mechanism by which maize acts remains unclear, but this report serves to emphasize the extremely detrimental effects that might be expected in populations who are deficient in vitamin D and who have predominantly cereal diets.
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  • 20
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    Calcified tissue international 36 (1984), S. S118 
    ISSN: 1432-0827
    Keywords: Bone ; Strain ; Remodeling ; Adaptation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Medicine , Physics
    Notes: Summary For bone to remodel adaptively, the cells responsible should follow some algorithm. Nine different loading situations and structures are discussed. It seems that either algorithm must be extremely complex, or cells in different structures must follow different algorithms.
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  • 21
    ISSN: 1432-0827
    Keywords: Bone ; Mineral ; Amorphous calcium phosphate ; X-ray diffraction ; Radial distribution function
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Medicine , Physics
    Notes: Summary X-ray diffraction radial distribution function analysis was used to determine if a significant amount of an amorphous solid phase of calcium phosphate exists in bone, and if so, whether the amount varies as a function of age and maturation. Unfractionated cortical bone from embryonic and posthatch chicks of various ages and a low-density fraction of embryonic bone were studied. No evidence was found for the presence of an amorphous solid phase of calcium phosphate in any of the samples studied, including the recently deposited bone mineral of the low density fraction of embryonic bone. As little as 12.5% of synthetic amorphous calcium phosphate (ACP) added to bone was readily detected by the radial distribution function technique used. The results clearly indicate that the concept that ACP is the initial solid mineral phase deposited in bone, and the major mineral constituent of young bone is no longer tenable. The concept does not provide an accurate description of the nature of the initial bone mineral deposited, or the changes that occur with maturation, nor can it acount for the compositional and X-ray diffraction changes that the mineral component undergoes during maturation and aging.
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  • 22
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    Calcified tissue international 36 (1984), S. 392-400 
    ISSN: 1432-0827
    Keywords: Vitamin D ; Chick embryo ; Bone ; Calcium ; Phosphate
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Medicine , Physics
    Notes: Summary Chick embryos were injected in the yolk sac at various ages with various doses of different vitamin D3 metabolites. Serum concentrations of total calcium and inorganic phosphate were determined 24 h after the injection and histological and electron microscopic studies of the tibiae were conducted 3–6 days after. Confirming previous results, the injection of 1,25(OH)2D3 was found to produce significant hypercalcemia and hypophosphatemia. The dose required to produce these effects decreased with age: 100 ng on the 9th day, 50 ng on the 11th, and 10 ng on the 15th. This finding is interpreted as resulting from the fact that the specialized cells in the chorionic epithelium which are considered to be involved in mineral resorption from the shell differentiate between the 11th and 13th days. Although no bone changes were observed in embryos injected before the 11th day, a rim of unmineralized trabeculae (osteoid) was observed at the periphery of the cortex of the tibial diaphysis in the embryos which had been injected after that age. Thus, in embryos injected on the 11th day with 100 ng 1,25(OH)2D3, the trabeculae formed between the 11th and 14th day remained unmineralized until the 15th or 16th day at which time they completed their mineralization. In the embryos injected on the 14th day, the alterations were more severe and could be produced with doses 10 times smaller than those required when the injections were made on the 11th day. At all ages, the doses that produced an osteoid rim also induced hypercalcemia and hypophosphatemia. The electron microscopical study of the osteoid trabeculae showed that osteoblasts and osteocytes had normal cytological characteristics and that the bone matrix did not present changes other than the reduction in mineral deposition. While the above findings do not exclude a direct action of 1,25(OH)2D3 on bone cells as the mechanism of osteoid formation, they do underline the importance of the humoral changes at least as partial determinants of this phenomenon. The activities of various vitamin D metabolites were compared using as parameter the threshold-dose required to produce a rim of unmineralized trabeculae in the tibia of 14–15 days embryos (T-D). The most active metabolite appeared to be 1,25(OH)2D3 (T-D: 10 ng); it was followed by 1,24,25(OH)3D3 (T-D: 100 ng) and 1,25,26(OH)3D3 (T-D: 100 ng). Vitamin D3 itself (T-D: 100 µg), 25(OH)D3 (T-D: 2.5µg) and 24,25(OH)2D3 (T-D: 5 µg) produced similar responses but only when administered in much larger doses.
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    Calcified tissue international 36 (1984), S. S7 
    ISSN: 1432-0827
    Keywords: Bone ; Mechanical function
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Medicine , Physics
    Notes: Summary The variety of different mechanical functions required of whole bones is discussed. Often, the design optimizing the structure for one function is not optimal for another function.
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  • 24
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    Calcified tissue international 36 (1984), S. S1 
    ISSN: 1432-0827
    Keywords: Functional adaptation ; Bone ; Conference
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Medicine , Physics
    Notes: Summary The purpose of this contribution is to serve as an introduction to the papers presented at the Kroc Foundation Conference on Functional Adaptation in Bone Tissue, to outline the objective of the conference, and to summarize the discussion.
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  • 25
    ISSN: 1432-0827
    Keywords: Aluminum ; Parathyroid hormone ; Bone ; Renal failure
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Medicine , Physics
    Notes: Summary Bone aluminum, quantitative bone histology, and plasma parathyroid hormone (PTH) were compared in 29 patients undergoing chronic hemodialysis. Histologic techniques included double tetracycline labeling and histochemical identification of osteoclasts and osteoblasts. Bone aluminum was measured chemically by flameless atomic absorption spectrophotometry, and histochemically. When measured chemically, the bone aluminum was 67±46 (SD) mg/kg dry weight (normal 2.4±1.2 mg/kg); histochemically, aluminum was present at 2.9±4.4% of trabecular surface. The biochemical and histochemical results agreed well (r=0.80,P〈0.001). No double tetracycline labels were seen at the mineralization front where aluminum was deposited, indicating cessation of mineralization at these sites. The osteoblast surface correlated positively with plasma PTH (r=0.67,P〈0.001) and negatively with bone aluminum level (r=−0.42,P〈0.05). Multiple linear regression showed a correlation of aluminum with osteoblasts additional to that of PTH, consistent with a direct effect of aluminum in depressing osteoblast numbers. Though a relationship between PTH and chemically determined bone aluminum level could not be demonstrated, there was a negative correlation between osteoclast count and aluminum, and the nine patients with severe hyperparathyroid bone disease had lower chemically determined aluminum levels than the other patients. These results suggest that aluminum (a) directly inhibits mineralization, (b) is associated with decreased PTH activity and hence osteoblast numbers, and (c) directly reduces osteoblast numbers. In addition to inducing severe, resistant osteomalacia, aluminum appears to contribute to the mild osteomalacia commonly seen in renal failure, characterized by extensive thin osteoid and low tetracycline and osteoblast surfaces.
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  • 26
    ISSN: 1432-2161
    Keywords: Ewing sarcoma ; Bone ; Sclerosis
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Abstract Roentgenographic review of the first 210 cases of Ewing sarcoma (ES) in the Intergroup Ewing Sarcoma study revealed that 37.6% of cases had evidence of diffusely increased intraosseous density or diffuse sclerosis (DS). In these cases the sclerosis was usually mixed with various patterns of lysis and/or combined with a periosteal reaction. A radiograph blinded histologic review of selected biopsies showed an 83% incidence of dead bone compared to 23% in those without DS. Ten percent of the cases with DS had appositional new bone formation on dead bone whereas none of the cases without DS showed such reactions. Pathologic explanation of the roentgenographically identified diffuse sclerosis in ES has not been previously well documented in the medical literature.
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    Skeletal radiology 11 (1984), S. 108-118 
    ISSN: 1432-2161
    Keywords: Bone ; Bone marrow ; Hematopoietic hyperplasia ; Pseudotumor ; Rib
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Abstract Two patients are presented who had a resection of a solitary expansile rib lesion. The radiologic features were nonspecific and the lesions were thought to represent either fibrous dysplasia, myeloma, or metastatic disease. Histologically, the lesion consisted of focal hyperplasia of the bone marrow involving all hematopoietic elements. The marrow expanded the rib, eroded the cortex, and extended into the adjacent soft tissue. Neither patient had any underlying hematologic abnormality. A search of the English language literature failed to discover a description of a similar lesion. From the clinical course and follow-up information, the process appears to be benign. The authors believe the lesion is a form of pseudotumor, and propose that it be designated as “focal hematopoietic hyperplasia of rib” or “hematopoietic pseudotumor.”
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    European archives of oto-rhino-laryngology and head & neck 240 (1984), S. 115-123 
    ISSN: 1434-4726
    Keywords: PHDPE ; Proplast ; Bone ; Animal experiment
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Summary A comparative animal study showed that, after implantation in skull defects in guinea pigs, porous high-density polyethylene (PHDPE) was substantially better anchored in the bone than Proplast, and had greater stability of form and structure. In Proplast, ingrowth of fibrous tissue caused partial structural dilatation and fragmentation, which could limit its suitability for use in reconstructive surgery.
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  • 29
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    International Journal for Numerical Methods in Engineering 20 (1984) 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
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  • 30
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1-14 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The solution of dynamic contact (elastic impact) problems is complicated by the changing nature of the contact area. If a finite element approach is used, the system matrices vary with the contact area. If the problem is properly formulated, such changes are rank one. Rank one changes produce easily determinable changes in the LDLT decompositions of the system matrices. This renders a class of dynamic contact problems soluble with the same accuracy and computational effort as is associated with the solution of any dynamic problem using finite element procedures. Consideration of an example problem involving the impact of spring-mass systems confirms this claim.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 101-119 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A method is described to derive finite element schemes for the scalar convection equation in one or more space dimensions. To produce accurate temporal differencing, the method employs forward-time Taylor series expansions including time derivatives of second- and third-order which are evaluated from the governing partial differential equation. This yields a generalized time-discretized equation which is successively discretized in space by means of the standard Bubnov-Galerkin finite element method. The technique is illustrated first in one space dimension. With linear elements and Euler, leap-frog and Crank-Nicolson time stepping, several interesting relations with standard Galerkin and recently developed Petrov-Galerkin methods emerge and the new Taylor-Galerkin schemes are found to exhibit particularly high phase-accuracy with minimal numerical damping. The method is successively extended to deal with variable coefficient problems and multi-dimensional situations.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 175-181 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 169-173 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A two-noded, straight element with one-point quadrature is introduced for the unsymmetrical bending of orthotropic axisymmetric shells. The numerical results indicate that the present simple element performs accurately for both thick and thin shell applications.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 187-194 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Numerical results using uniform h-refinement approaches to the solution of a pair of elasticity problems with singularities are presented and compared to recently published results based on the uniform p-refinement approaches.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 143-167 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Steady-state, free surface seepage through a heterogeneous porous medium underlain by a drain at a finite depth is solved using a fixed domain solution technique. The problems investigated are axisymmetric seepage from a circular pond and plane seepage from a symmetric channel. These ponds and channels may have variable shaped bottoms. Since the Baiocchi transformation was used to define a new dependent variable, the form of the permeability function was restricted to a product of functions of the independent variables. Herein the permeability was chosen to be a function of the depth only. For certain forms of this function, namely those having negative gradients, part of the flowfield becomes unsaturated and this violates the assumed saturation of the flowfield in the flow theory. The governing differential equation, which holds in the sense of distributions, is derived for a fixed solution domain and a simple algorithm (a finite difference successive over-relaxation scheme with projection) is given to obtain the solution to these free surface problems. Numerous comparisons are made with published results. Rigorous mathematical justification of the methods used herein can be found in the references cited.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 195-195 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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  • 37
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    International Journal for Numerical Methods in Engineering 20 (1984) 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
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  • 38
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 182-186 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Bathe's basic algorithm of subspace iteration for the solution of the symmetric eigenvalue problem is improved by including a Chebyshev filtering mechanism. To obtain satisfactory convergence for the largest eigenvalues, a shifting strategy is adopted. The shift factor is approximately computed by the Lanczos process.
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  • 39
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 479-503 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A transfer-matrix analysis is presented for determining the static behaviour of thick beams of ‘multimodular materials’ (i.e. materials which have different elastic behaviour in tension and compression, with nonlinear stress-strain curves approximated as piecewise linear, with four or more segments). To validate the transfer-matrix method results, a closed-form solution is also presented for cases in which the neutral-surface location is constant along the beam axis. Numerical results for axial displacement, transverse deflection, bending slope, bending moment, transverse shear, axial force and location of neutral surface are presented for multimodular and bimodular models of unidirectional aramid cordrubber. The transfer-matrix method results agree very well with the closed-form solutions.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 523-528 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: An 8-node brick element based on the assumed stress hybrid formulation is described. With three additional stress fields, the element stiffness matrix now has the required rank of 18, and the ‘bending’ response is exact with rectangular elements. Surprisingly, the 2 × 2 × 2 Gauss rule suffices for all numerical integrations, to satisfy the constant stress patch test.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 529-548 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: An assumed stress hybrid curvilinear triangular finite element is described which is based upon the Kirchhoff theory of plate bending. The derivation extends the assumed stress hybrid technique to curvilinear boundaries where the twelve connectors are related to those of an equilibrium rectilinear element and to Semiloof. The solution process demands only first derivatives of the shape functions.The element is subjected to various patch tests for constant bending, e.g. where the central element is in close approximation to a circle. All tests are passed for stress couples and vertex displacements, but values of the remaining connectors do not resemble exact results. Patch tests for rigid-body movements are passed exactly in every respect.
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  • 42
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 505-514 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A numerical technique has been developed to solve a system that consists of m linear parabolic differential equations with coupled nonlinear boundary conditions. Such a system may represent chemical reactions, chemical lasers and diffusion problems. An implicit finite difference scheme is adopted to discretize the problem, and the resulting system of equations is solved by a novel technique that is a modification of the cyclic odd-even reduction and factorization (CORF) algorithm. At each time level, the system of equations is first reduced to m nonlinear algebraic equations that involve only the m unknown grid points on the nonlinear boundary. Newton's method is used to determine these m unknowns, and the corresponding Jacobian matrix can be computed and updated easily. After convergence is achieved, the remaining unknowns are solved directly. The efficiency of this technique is illustrated by the numerical computations of two examples previously solved by the cubic spline Galerkin method.
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  • 43
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 549-553 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: It is demonstrated that finite element discretizations may not, in general, satisfy the maximum principle; and sufficient conditions are presented to guarantee that solutions based on bilinear elements do satisfy the maximum principle.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 515-522 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The efficiency and computational accuracy of the boundary element and finite element methods are compared in this paper. This comparison is carried out by employing different degrees of mesh refinement to solve a specific illustrative problem by the two methods.
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  • 45
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 565-572 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The BEM is shown to be superior to FEM with respect to economy (man hour and data processing) and convergence (with increasing number of boundary nodes) in the elasic notch stress analysis of compact components.
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  • 46
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 555-563 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: This note discusses the numerical solution of the kinematic wave equation under those conditions when the solution contains a discontinuous shock. A finite element solution is described in which shocks are represented by discrete nodal discontinuities. The implementation of the method follows conventional finite element practice over the shockless regions of the solution domain which are coupled by frontal constraints. The basis of the method and examples of its application to the solution of the kinematic wave equation in one and two dimensions are presented.
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  • 47
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 887-914 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A concise survey of formulation methods of geometric and material nonlinearity problems is given. Differences between existing formulations in the literature are discussed. A consistent Lagrangian and updated Lagrangian formulations are derived from the energy balance equation transformed to the proper reference configuration. Differences between the existing formulations and similar ones in the literature are found to be in specific geometric nonlinear terms in the final incremental equation as well as in the definition of the load increment vector. Specific forms of constitutive equations for elastic and elastoplastic materials are presented. Some of the forms used by other authors in application to elastoplastic materials are shown to be inconsistent. Sample numerical examples intended for checking some particular points in the formulation are presented.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 845-849 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Two numerical methods for solving two-point boundary-value problems associated with systems of first-order nonlinear ordinary differential equations are described. The first method, which is based on Lobatto quadrature, requires four internal function evaluations for each subinterval. It does not need derivatives and is of order h7, where h is the space chop. The second method, which is similar to the first but is based on Lobatto-Hermite quadrature, makes the additional use of derivatives to achieve O(h9) accuracy. Results of computational experiments comparing these methods with other known methods are given.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 915-929 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: An almost linear optimization problem of importance in vibration isolation has been identified and algorithms were developed to minimize the forced vibrational response of structural systems. The constraints can be either displacements or accelerations. These algorithms have been studied for transient response, frequency response and stationary random using the direct dynamic solution. Multiple response points and loading conditions may be used.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 949-966 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: When applied to large sparse sets of simultaneous equations, classical iterative methods may yield very poor convergence rates. This paper gives an incomplete Choleski-conjugate gradient algorithm (ICCG) which has reliably good convergence rates at the expense of computing and using at each iteration an incomplete Choleski factor of the coefficient matrix. The method is applicable to any problems in which the coefficient matrix is symmetric positive definite and is likely to be advantageous with respect to elimination when it is not possible to represent the equations in a dense band form.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 931-948 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A method is presented for performing efficient and stable finite element calculations of heat conduction with quadrilaterals using one-point quadrature. The stability in space is obtained by using a stabilization matrix which is orthogonal to all linear fields and its magnitude is determined by a stabilization parameter. It is shown that the accuracy is almost independent of the value of the stabilization parameter over a wide range of values; in fact, the values 3, 2 and 1 for the normalized stabilization parameter lead to the 5-point finite difference, 9-point finite difference and fully integrated finite element operators, respectively, for rectangular meshes; numerical experiments reported here show that the three have identical rates of convergence in the L2 norm. Eigenvalues of the element matrices, which are needed for stability limits, are also given. Numerical applications are used to show that the method yields accurate solutions with large increases in efficiency, particularly in nonlinear problems.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 979-979 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 980-980 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 967-977 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A simple dynamic finite element algorithm for analysing a propagating mixed mode crack tip is presented. A double noding technique, which can be easily incorporated into existing dynamic finite element codes, is used together with a corrected Ĵ integral to extract modes I and II dynamic stress intensity factors of a propagating crack. The utility of the procedure is demonstrated by analysing test problems involving a mode I central crack propagating in a plate subjected to uniaxial tension, a stationary slanted central crack in a plate subjected to uniaxial inpact loading and an extending slanted-edge crack in plate subjected to uniaxial tension.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1370-1371 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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  • 56
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1407-1414 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The paper describes the development of an eight-node plane rectangular finite dynamic element and presents detailed descriptions of the associated numerical formulation involving the higher order dynamic correction terms pertaining to the related stiffness and inertia matrices. Numerical test results of free vibration analyses are presented in detail for the newly developed eight-node element and also the corresponding four-node element in order to make a clear comparison of the relative efficiencies of the corresponding finite element and dynamic element procedures. Such results indicate a superior pattern of solution convergence of the presently developed dynamic element.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1415-1431 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A computational strategy for the evaluation of delamination stresses in multilayered fibre-reinforced composites is presented. The approach uses special inter-laminar shear elements and an iterative procedure in the calculation of out-of-plane stresses. Both regular and singular elements for the free edge are presented. The solutions are carried on by switching between direct matrix solution methods of small systems of equations and an iterative conjugate gradient method. The proposed discretization avoids ill-conditioning problems, modelling difficulties and large computational cost associated with three-dimensional analysis of delamination of holes, cut-outs, joints and areas of complex stress states.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1433-1441 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A general, consistent and accurate procedure for obtaining difference equations from differential equations is presented and illustrated by several examples. The procedure is an extension of the integral method and incorporates what is known of the solution to the differential equation in the formation of the corresponding difference equation. For the same accuracy, large increases in grid size over that obtained by standard Taylor's series approximations are possible. Both boundary-value and initial-value problems are treated.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1443-1459 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: The standard isoparametric transformation for finite element analysis is shown to be only a special case of a more general transformation which allows for flexibility in locating side and interior element nodes. Side nodes positioned at the same relative distance from corner nodes in both local and global space, and interior nodes positioned such that they do not affect the Jacobian of the co-ordinate transformation, provide improved accuracy over nodes positioned locally without regard for the global configuration. This concept is demonstrated in the context of two-dimensional quadratic quadrilateral isoparametrics, but is also applicable to higher orders and dimensions. In the test cases examined, the new formulation provides a reduction in error of up to three orders of magnitude and also provides accurate solutions for nodal placements which are not allowed using the standard transformations.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1461-1475 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: A weighting function by which the mass matrix is made to be diagonal is deduced on the two-dimensional simplex element. Adopting the weighted residual method with the deduced weighting function for spatial domain and the two-step Lax-Wendroff method for time differentiation, the two-dimensinoal tidal flow in a model basin is calculated by means of the explicit finite element method. The water mass transport integrated over one tidal period at some cross-sections of the basin is also estimated, in order to verify the water mass conservation. It is found that the water mass is nearly conserved in the present method, although the usual lumped mass matrix technique fails to conserve.The present explicit finite element method with the conservative form of governing equations is also investigated and the water mass conservation is found to be a little more improved in this case than in the case of non-conservative forms. Application to a real bay indicates that the method with the conservative form of equations could be used for the estimation of tidal residual flow.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1477-1489 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: In this work, the plastic stress-strain relation and the incremental elastoplastic stiffness matrix for materials obeying the principal stress yield criterion are derived in the context of the associated theory of plasticity. Particular attention is paid to the treatment of the singularity conditions associated with this yield criterion.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1491-1506 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: It is demonstrated that the residual in a compatible (displacement) finite element solution can be partitioned into local self-equilibrating systems on each element. An a posteriori error analysis is then based on a complementary approach and examples indicate that the guaranteed upper bound on the energy of the error is preserved.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1507-1519 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: The paper develops a new discrete transform pair which economizes on the number of samples of F(s) and f(t) compared with the standard pair. Whereas the standard pair used uniform sampling along the Bromwich contour, the new method allows a progressive increase in the sampling interval, thereby reducing the number of samples required to meet a specified bandwidth requirement. In the case of the computation of transient responses of physical systems, a reduction by a factor of 10 is not unrealistic. The new transform pair is based on the generalization of fundamental sampling principles. In particular, this leads to an integration contour different from the Bromwich contour.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1553-1554 
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1581-1597 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: A new family of coupled time integration operators of different orders is developed. It permits different time integration operators to be used simultaneously in various regions of the model. This approach has the advantage of applying a very accurate time integrator, such as Runge Kutta method of order two to four, to the local nonlinear region of interest and a simple time integrator, such as the implicit-explicit or mixed time implicit-explicit method of order one, for the remaining region. The computer implementation aspects, stability analysis as well as the numerical evaluations of these new methods are presented. This is another attractive addition to the repertoire of time integration methods.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1613-1628 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A finite element formulation for elastoviscoplasticity problems in the presence of large strains and deformations is presented in this paper. The formulation is capable of using any of a class of combined creep-plasticity constitutive models with state variables for the description of material behaviour. The specific problem considered is plane strain extrusion using the constitutive model originally proposed by Hart. Numerical results are presented for sample problems and the important effects of extrusion speed and friction (at the die-workpiece interface) on the residual stresses in an extruded sample are investigated. The computer program developed here is quite general and can be modified to solve problems for other manufacturing processes like rolling, sheet forming, etc.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1643-1660 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: A new direct search package is presented. Typical test functions solved establish the robustness and efficiency of the package. The most significant features of the package are that it works satisfactorily even in single precision and requires much less memory. It needs only the function values and the unidimensional search is totally dispensed with. Methods such as different descent techniques, the RMS procedure, the co-ordinate movement technique and the gallop-canter equalization scheme form the sequence of strategies.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1629-1641 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: This paper attempts to answer two commonly raised questions during the preparation of a finite element mesh, for the linear elastic fracture analysis of cracked structure: how to set up the finite element mesh around the crack tip, and what level of accuracy is to be expected from such a modelling.Two test problems, with known analytical expressions for their stress intensity factors, are analysed by the finite element method using the isoparametric quadratic singular element. The modified parameters were the order of integration, aspect ratio, number of elements surrounding the crack tip, use of transition elements, the singular element length over the total crack length, the symmetry of the mesh around the crack tip. Based on these analyses, a data base is created and various plots produced. The results are interpreted, the accuracy evaluated and recommendations drawn.Contrary to previous reports, it is found that the computed stress intensity factor (SIF) remains within engineering accuracy (10 per cent) throughout a large range of l/a (singular element length over crack length) for problems with a uniform non-singular stress distribution ahead of the crack tip (i.e. double edge notch), and l/a should be less than 0·1 for problems with a non-singular stress gradient (i.e three-point bend). Also, it is found that the best results are achieved by using at least four singular elements around the crack tip, with their internal angles around 45 degrees, and a reduced (2 × 2) numerical integration.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1661-1670 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: This paper presents and analyses methods for design sensitivity analysis of static response for structural systems when general boundary conditions are used during the analysis phase. The design sensitivity analysis methods where the boundary conditions are used to reduce the equilibrium equation have been presented earlier. In such procedures, the reduced stiffness matrix is non-singular. This fact is used to show differentiability of the displacement vector. When reduction procedures are not used, the global structural stiffness matrix may be singular. In such a case, differentiability of the displacement vector may be questionable. However, it is shown that the displacement vector is still differentiable. Several forms of the structural design sensitivity equations are presented. Although these equations are derived with Lagrange multiplier treatment of general boundary conditions, it is shown that they are applicable with any treatment of general boundary conditions. For example, they can also be used with co-ordinate reduction schemes. Therefore, design sensitivity analysis can be carried out with any existing finite element analysis computer code. Moreover, the procedures presented can be used to calculate sensitivity of a force of constraint can that is desired. The formulations are kept quite general such that design dependent boundary conditions can be routinely treated. An example is used to illustrate the procedures.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1671-1683 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: In this paper, an efficient, exact zooming technique is developed which employs static condensation and exact structural reanalysis methods. For a multiple level of zooming such that the successive level of zooming is contained within the prior levels of zoom, repeated application of static condensation will reduce the system to one that is associated only with the degrees-of-freedom (dof) of the original model. Then, application of an exact static reanalysis technique permits the displacements at the dof of the original model that are contained in the final zoomed portion of the structure to be obtained first. Next, the response external to the zoom, as well as the response of additional dof within various levels of zooming, can be computed. With the triangular factor of the stiffness matrix of the original system available, this approach involves only the solution of a system of equations of small order. The proposed method is demonstrated by a numerical example.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1697-1702 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: An inversion formula based on expansion in a Fourier sine series, proposed by Koizumi in 1935, is examined. It is found to give results of moderate accuracy with relatively little work.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1685-1695 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: A new method for the formulation of hybrid elements by the Hellinger-Reissner principle is established by expanding the essential terms of the assumed stresses as complete polynomials in the natural coordinates of the element. The equilibrium conditions are imposed in a variational sense through the internal displacements which are also expanded in the natural co-ordinates. The resulting element possesses all the ideal qualities, i.e. it is invariant, it is less sensitive to geometric distortion, it contains a minimum number of stress parameters and it provides accurate stress calculations. For the formulation of a 4-node plane stress element, a small perturbation method is used to determine the equilibrium constraint equations. The element has been proved to be always rank sufficient.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1703-1709 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: The strain space and traditional stress space formulations of plasticity theory are compared. We show how plasticity theory has been implemented numerically to solve static and dynamic problems, and conclude that the numerical loading criteria that have been used for two decades are identical to the strain space loading criteria proposed by Naghdi and co-workers.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1729-1733 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: A PERQ single user computer can be used to animate structure plots, which is of great assistance when interpreting the results from finite element programs. Excellent appreciation may be obtained of a structure oscillating in complicated natural modes. The technique is also useful for studying deformations due to static forces.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1711-1728 
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    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: Simple solutions are extracted from the exact compatibility equations of inextensional bending for a special class of shell shapes, and it is speculated that these solutions provide useful criteria towards evaluating finite elements for these and closely related shapes. Curved finite elements of a quadratic parametric representation, which do not belong to the special class, are then studied. By using a series of exact inextensional bending displacements, it is concluded from numerical evidence that the criteria apply to finite element shapes in this representation when they are shallow, as is usually the case in practice. Criteria for homogeneous membrane actions follow from Gol'denveizer's static-geometric analogue.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1745-1749 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: Using the partial-boundary element approach, in which only a part of the boundary in problem is discretized, the elastic torsion problem of a prismatic beam of a cracked rectangular cross-section has been solved in this brief paper, together with a numerical example to show the accuracy and versatility of the approach.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1751-1755 
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    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: The radial symmetry of the cable results in circular finite elements to evaluate the potential distribution in a multi-dielectric cable. Owing to this, a two dimensional analysis used in conjunction with triangular finite elements is reduced to one-dimensional analysis. This method therefore suggests an alternative proposal to calculate the potential distribution in a multi-dielectric cable with better accuracy.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1756-1756 
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1757-1757 
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1757-1758 
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1758-1759 
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    International Journal for Numerical Methods in Engineering 20 (1984) 
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1791-1796 
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    Notes: Contour plots of finite element solutions, especially for derivatives, often are discarded due to poor plotting algorithms. This note shows how a smoothing scheme based on a minimum surface theory can significantly improve the quality of the graphical results. The scheme proposed is compared with many other smoothing schemes, including least squares, on a simple problem.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1763-1790 
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    Keywords: Engineering ; Engineering General
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    Notes: This paper describes the stages of development of an optimum structural design scheme. Any attempt to generate the optimum scantlings of a structure of even moderate complexity usually poses nonlinear programming problems for which there exist no universally accepted solution method. The structure considered here is a complete compartment of a single-hulled ship acted upon by multiple load cases. The elastic responses under four different load types are obtained by a quasi finite element analysis routine developed specifically for this purpose. Sequential linear programming (SLP) with appropriate artifices to achieve rapid convergence has been successfully employed as an optimization routine to minimize the object function, which in this case was the total weight of the major structural members. The test problem has 490 basic degrees-of-freedom, 21 free design variables and more than 100 mixed constraints, the majority of which are nonlinear implicit stress functions. The method is then applied to a number of cases representative of small warship designs. Suggestions for future extensions and general conclusions are included at the end of the paper.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1815-1821 
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    Keywords: Engineering ; Engineering General
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    Notes: The approach of Cermak and Zlamal1 for solving quasilinear parabolic equations is modified and improved. The modified approach leads to a normal system of ODE, which may be solved with a standard program. The numerical solution of a specially selected example is compared with the exact solution. The method is applied on a system of quasilinear parabolic equations, which describes a real process - crystallization of a metal ingot.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1797-1813 
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    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: The simulation of a large-scale gas transmission network involves the numerical solution of a large system of initial valued, stiff algebraic/differential equations. Rapid changes in the solution are present due to the disturbances generated by the varying consumer demand and the operation of network controlling devices such as compressors. This paper discusses the design of an efficient variable-step integrator for the solution of the problem. Two sets of strategies are presented for implementing the variable-step integrator; one for the implicit numerical method such as the diagonally implicit Runge-Kutta methods, and the other for the linearly implicit Rosenbrock-type method. The performance of the numerical methods implemented are compared with the British Gas simulation program PAN on a number of large, realistic transmission networks.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1823-1840 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: The optimality conditions for the optimal shape remodelling of linearly elastic plates are obtained by introducing the total variation of a function defined on a variable domain, although the variation of a function has been taken on a fixed domain in most literature on calculus of variations. Using these optimality conditions, a solution scheme involving an iterative algorithm is proposed, together with several numerical examples.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1863-1884 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: This paper presents a simple scheme for analysing shells subject to the Kirchhoff-Love hypothesis. The method combines a previously developed, statically determinate truss model with the static-geometric analogy of elastic thin shell theory. In this way, both in-plane and flexural mid-surface actions are obtained by simply repeating the elementary computations performed on an essentially ‘membrane’ truss.
    Additional Material: 11 Ill.
    Type of Medium: Electronic Resource
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  • 89
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1841-1861 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: This paper presents the modelling of open shells, such as those used in roof construction, by means of a single-layered, pin-jointed truss. The latter exhibits several advantages over existing framework models, such as, for example, statical determinacy and the capacity to cope with arbitrary material constants. In the present article, the truss model is developed for and applied to the numerical analysis of shells subject to the membrane hypothesis. However, the same statically determinate model forms the basis for a computational scheme for analysing shells according to the more formal, statically indeterminate bending theory; the latter application of the truss model will be presented in a subsequent paper.
    Additional Material: 11 Ill.
    Type of Medium: Electronic Resource
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  • 90
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 20 (1984), S. 1951-1952 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Type of Medium: Electronic Resource
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  • 91
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 20 (1984), S. 1952-1952 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Type of Medium: Electronic Resource
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  • 92
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 20 (1984), S. 1957-1958 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Type of Medium: Electronic Resource
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  • 93
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 20 (1984), S. 1953-1956 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Type of Medium: Electronic Resource
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  • 94
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 20 (1984) 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Type of Medium: Electronic Resource
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  • 95
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 20 (1984), S. 1959-1964 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A new method for static condensation is presented. This method utilizes Choleski decomposition with some modification to obtain the effective stiffness matrix and the effective load vector. A comparison between this modified decomposition method and the usual matrix decomposition method shows that the former is more efficient than the latter.
    Additional Material: 2 Ill.
    Type of Medium: Electronic Resource
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  • 96
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 20 (1984), S. 1965-1990 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: An approach for the fully automatic generation of three-dimensional finite element meshes is presented. The method is specifically designed for use with solid modelling systems which provide a complete and unique definition of the geometry of a part. The method follows from the basic concepts of the octree encoding technique with specific modifications made to produce valid, user controllable finite element meshes. Example problems are included to demonstrate the technique.
    Additional Material: 24 Ill.
    Type of Medium: Electronic Resource
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  • 97
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 2065-2075 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A method which combines the finite element technique and the singular-integral equation method is presented. The association of the two methods is obtained with the help of Schwarz's alternating method (SAM). The method was applied with satisfactory results to the solution of a series of problems of a circular arc crack lying inside a finite thin plate for various lengths of the circular arc and for various dimensions of the rectangular cracked sheet.
    Additional Material: 3 Ill.
    Type of Medium: Electronic Resource
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  • 98
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 20 (1984) 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Type of Medium: Electronic Resource
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  • 99
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 20 (1984), S. 2121-2141 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A 48 degrees-of-freedom (d.o.f.) quadrilateral thin elastic shell finite element using variable-order polynomial functions, B-spline functions and rational B-spline functions to model the shell surface is developed. This development may allow the stiffness formulation of the shell element to be linked to the geometry data bases created by computer aided design systems. The displacement functions are that of bicubic Hermitian polynomials. The displacement functions and d.o.f. are expressed and investigated in both the curvilinear and Cartesian forms. The cuivilinear form is simpler and can provide the proper solution for a certain class of shell problems. For certain highly curved shells such as bellows, however, the curvilinear form fails to properly model some rigid body modes even with either the explicit inclusion of rigid body terms or the high order displacement functions. It is suggested in this study that such difficulty can be circumvented and the rigid body modes can be properly included if a Cartesian form is used for displacement functions. The strain-displacement equations are expressed in curvilinear co-ordinates. Thus, the Cartesian displacement functions require a transformation to curvilinear displacement at each numerical integration point. Examples include a pinched cylinder, a translational shell under central load, a uniformly loaded hypar shell, a pressurized ovel shell, a semi-toroidal bellows and a U-shaped bellows. For the first four examples, geometric modellings consist of polynomials of second-order (subparametric), third-order (isoparametric), and fourth and fifth-order (both superparametric) as well as B-spline functions of fourth- and fifth-order. The geometries of the pinched cylinder, the semi-toroidal bellows, and the U-shaped bellows were modelled exactly using rational B-spline functions. All the results obtained are in good agreement with alternative existing solutions.
    Additional Material: 11 Ill.
    Type of Medium: Electronic Resource
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  • 100
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 20 (1984), S. 2175-2195 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A finite element method for contact problems in crack mechanics is developed on the basis of the penalty function method. The method is successfully applied to three important problems in fracture mechanics: a crack propagated from a pin hole, a two-point supported specimen with an edge crack loaded by a stamp, and a thick plate with a through-wall crack under bending force.
    Additional Material: 24 Ill.
    Type of Medium: Electronic Resource
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