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  • 2000-2004
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  • 1982  (1,241)
  • Cell & Developmental Biology  (962)
  • Engineering  (261)
  • breast cancer
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  • 2000-2004
  • 1980-1984  (1,241)
  • 1975-1979
  • 1925-1929
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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Surgical and radiologic anatomy 4 (1982), S. 197-204 
    ISSN: 1279-8517
    Keywords: Finite element method ; Engineering ; Mandible ; Stress ; Honeycomb
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Description / Table of Contents: Résumé Nous avons, dans le précédent travail, attiré l'attention sur le fait que l'application des méthodes modernes utilisées en engineering pour la création et la vérification des structures mécaniques complexes à la recherche en anatomie semblait d'avérer une voie de recherche nouvelle et fructueuse, précisant bien que cette méthodologie n'était appliquable qu'à certains types de recherche bien définis et que son domaine de choix était l'ostéologie fonctionnelle. Nous avons donc procédé à une ≪modélisation≫ de la mandibule et à une expérimentation sur le modèle ainsi obtenu à l'aide de la ≪méthode des éléments finis≫ parce que l'étude de celle-ci nous semblait un moyen commode de tester notre méthodologie et sa fiabilité (la traumatologie de la mandibule est en effet bien connue), mais aussi et surtout parce que les conceptions généralement admises, relatives à la structure de la mandibule, ne nous semblaient pas pleinement satisfaisantes eu égard aux progrès actuels des connaissances en résistance des matériaux.
    Notes: Summary In a previous article we drew attention to the application of modern methods used in engineering to the development and verification of complex mechanical structures in anatomical research. This approach was new and appeared to be fruitful, showing clearly that this technique was only applicable to certain types of well-defined research, in particular functional osteology. We therefore developed a model of the mandible and performed a series of experiments using the concepts of finite structures which provided a convenient means of testing our approach and its validity. More particularly, however, there are a number of widely held ideas regarding the structure of the mandible which strike us as not altogether consistent with current developments in the knowledge of resistance in materials.
    Type of Medium: Electronic Resource
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  • 2
    ISSN: 1436-2813
    Keywords: breast cancer ; estrogen receptor ; progesterone receptor
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Abstract Assays of estrogen receptors (ER) and progesterone receptors (PgR) were performed by using the dextran-coated charcoal (DCC) method in 124 cases of invasive breast cancer. The results were correlated with clinical and pathological characteristics. There was no correlation between steroid hormone receptor contents and menopausal status, size of tumor, axillary lymph node status, or histological type. The presences of ER and PgR were significantly correlated with histological grade and its mitotic component. 78.3% of well-differentiated (Grade I) tumors were ER positive. Of this number, 61.1% were also PgR positive. In contrast, 69.0% of poorly differentiated (Grade III) tumors were ER and PgR negative. Tumors with a prominent lymphoid infiltration demonstrated a low frequency of positive ER and PgR. There was a significant inverse correlation between the degree of lymphoid infiltration and histological grade. These results suggest that the ER and PgR status of tumors may indicate a malignancy, and prognostic information can thus be obtained independently of other known factors such as size of the tumor and axillary lymph node status.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Breast cancer research and treatment 2 (1982), S. 243-250 
    ISSN: 1573-7217
    Keywords: breast cancer ; hormone therapy ; steroid receptors
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Summary 156 patients with advanced breast cancer of known estrogen receptor (ER) and progesterone receptor (PgR) status treated by endocrine therapy were studied. Regarding values for ER and PgR ⩾ 5 fmole/mg cytosol protein as positive, patients were divided into 4 phenotypic subgroups: ER+PgR+ (43%), ER+PgR− (26%), ER−PgR+ (8%), and ER−PgR− (23%). In patients with tumor phenotype ER+PgR+, responses were seen in 20/30 (67%) assessable initial treatments when receptor assays were performed on tumor recurrence or on primary tumor immediately before endocrine therapy, and in only 11/32 (34%) assessable initial treatments when receptor analysis was performed on primary tumor and there was intervening local therapy before endocrine therapy was started for tumor recurrence (P〈0.05). Responses to first endocrine therapy for each tumor phenotype were ER+PgR+ 50%, ER+PgR− 27%, ER−PgR+ 27%, and ER−PgR− 6%. Four of 16 (25%) patients with ER+PgR+ tumors responded to subsequent secondary endocrine therapy, but such responses were not observed in 20 patients with other tumor phenotypes. Duration of response was similar for each phenotype, but patients with ER−PgR− tumors had a significantly shorter survival from time of initial endocrine treatment than patients of any other phenotype. These results suggest that repeat steroid receptor assays on accessible tumor immediately before endocrine therapy may result in improved predictability.
    Type of Medium: Electronic Resource
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  • 4
    ISSN: 1573-7217
    Keywords: adjuvant therapy delay ; breast cancer ; disease-free survival ; FAC
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Summary Four hundred and sixty patients with stage II or III breast cancer following regional therapy were treated with an adjuvant combination chemotherapy consisting of fluorouracil, doxorubicin, and cyclophosphamide (FAC). The relationship between the length of disease-free survival and length of delays in initiation of chemotherapy after surgery was evaluated. Patients were divided into four subgroups according to the length of delay in initiation of chemotherapy (〈 10 weeks, 10–13, 14–17, and ≥ 18 weeks). Overall four year diseasefree survival was 64%, 68%, 60%, and 63% for patient groups with delays of 〈 10 weeks, 10–13, 14–17, or ≥ 18 weeks respectively (p = 0.39). There was no trend for longer delay in treatment to be associated with shorter disease-free survival, except in poor prognosis patients.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Breast cancer research and treatment 2 (1982), S. 251-255 
    ISSN: 1573-7217
    Keywords: breast cancer ; histological grade ; steroid receptors
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Summary Histological grading of 160 primary infiltrating breast carcinomas showed that both oestrogen and progesterone receptor status are strongly related to grade, tumours that are receptor positive tending to be of lower grade than the receptor negative. The nuclear factors used in grading were those that determined this association. In addition the absence/presence of both receptors was reflected in the grade present, beyond the correlation expected on the basis of either receptor alone.
    Type of Medium: Electronic Resource
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  • 6
    ISSN: 1573-7217
    Keywords: adrenal secretion rates ; aminoglutethimide ; antiestrogens ; aromatase inhibitors ; breast cancer ; estrogen receptor ; hormone ablation ; medical adrenalectomy
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Summary Recent studies suggest that estrogens are the predominant hormones required for the growth of hormonedependent breast cancers in women. Traditional methods of lowering estrogens as treatment of breast cancer involve surgical removal of the ovaries, adrenals, or pituitary. Newer investigative strategies utilize blockade of estrogen action with antiestrogens or inhibition of estrogen synthesis. As reviewed previously, a regimen for pharmacologic suppression of estrogen production was developed which utilizes the aromatase/steroidogenesis inhibitor aminoglutethimide (AG) and replacement hydrocortisone (HC). The current paper updates recent mechanistic, clinical, and hormonal data regarding AG. The preservation of plasma androstenedione levels concomitant with marked estrone and estradiol suppression suggests that AG lowers estrogen production predominantly by blocking aromatization. The mechanism for sustained androstenedione production in the face of suppressed ketosteroids, glucocorticoids, and mineralocorticoids during AG administration was evaluated in dogs fitted with arteriovenous adrenal cannulae. Inhibition of the adrenal secretion of androstenedione with preservation of peripheral plasma levels of this steroid suggests stimulation ofextra-adrenal 3β-ol-dehydrogenase,Δ 5-Δ 4-isomerase activity by AG. Clinical studies revealed a 32% objective response rate to AG/HC in unselected patients and a 52% response in women with estrogen receptor positive tumors. Randomized trials indicated similar response rates to AG/HC vs hypophysectomy (AG/HC 47% vs Hypox 21%,p = NS), surgical adrenalectomy (AG/HC 52% vs surgical adrenalectomy 43%,p = NS) and antiestrogen therapy (AG/HC 36% vs tamoxifen 38%,p = NS). Cross-over data revealed that 50% of 94 patients initially responding to tamoxifen later experienced an objective regression to AG/HC. Only 25% of 93 tamoxifen nonresponders benefited later from AG/HC. Trends indicate that bone metastases may respond better to AG/HC (33%) than to tamoxifen (15%). Use of a computer-based data matrix allowed determination of whether patients escape from AG/HC induced estrogen and androgen suppression at the time of disease relapse. No trends towards escape from estrogen inhibition were apparent. However, in the objective responders to AG/HC, the weak androgens dehydroepiandrosterone-sulfate (DHEA-S) and androstenedione appeared to increase prior to disease relapse. DHEA-S but not androstenedione levels remained lower in the objective responders than in nonresponders at all phases of AG/HC therapy. Thus, the estrogens, but not androgens, remain constant during all phases of AG/HC treatment.
    Type of Medium: Electronic Resource
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  • 7
    ISSN: 1573-7217
    Keywords: breast cancer ; chemotherapy ; combination chemo-hormonal therapy ; endocrine therapy
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Abstract Complete remissions in patients with metastatic breast cancer using endocrine therapy or chemotherapy are infrequent. Breast tumors are known to be heterogeneous with respect to estrogen receptor status, and the low complete remission rate may be related to this biochemical heterogeneity. Based on laboratory experiments using human breast cancer cells in tissue culture, a phase II protocol was designed using tamoxifen, premarin, methotrexate, and 5-fluorouracil. Thus far, twenty-nine (29) patients have been entered into this study and twenty-five (25) are currently evaluable for response. Overall response rate was 72%, and 14 of 25 (56%) attained a complete remission. Toxicity was minimal. Median nadir white blood cell count was 5,800 and median nadir platelet count was 252,000. In summary, this combination chemo-hormonal therapy regimen is effective with a more than 50% complete remission rate and minimal toxicity.
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    Springer
    Breast cancer research and treatment 2 (1982), S. 355-361 
    ISSN: 1573-7217
    Keywords: breast cancer ; epidemiology ; nutrition ; obesity
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Summary An overview is presented of epidemiological, experimental, and some clinical data which focus on the importance of nutritional factors in the aetiology and clinical course of breast cancer. There seem to be at least two different nutritional factors involved: dietary fat, and a fat body mass (obesity). The author describes work of his group in elucidating the role of obesity. Nutritional intervention as a possible means of controlling the disease looms at the horizon.
    Type of Medium: Electronic Resource
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  • 9
    ISSN: 1573-7217
    Keywords: breast cancer ; dose response ; tamoxifen
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Summary In order to establish the optimal dose of tamoxifen in the treatment of advanced breast cancer in postmenopausal women, a randomized trial comparing 90 mg daily with the currently recommended dose of 30 mg daily was conducted. Sixty-eight patients were treated with the high dose and 75 patients with the low dose. The rate of response was 36 and 37% (p = 0.74), respectively. The time to response, duration of response, and the time to treatment failure were also identical at the two dose levels. Only a few side effects were observed, and they were equally distributed among the two treatment groups. It is concluded that a 30 mg daily dose of tamoxifen seems to be as effective as 90 mg.
    Type of Medium: Electronic Resource
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  • 10
    Electronic Resource
    Electronic Resource
    Springer
    Breast cancer research and treatment 2 (1982), S. 5-73 
    ISSN: 1573-7217
    Keywords: breast cancer ; cell cycle ; DNA-DMBA binding ; DNA repair ; DNA synthesis ; pathogenesis of breast cancer ; susceptibility to carcinogenesis
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Summary It has been demonstrated that in humans certain factors such as early menarche, late pregnancy, and nulliparity are associated with a higher risk of developing breast cancer, while early pregnancy acts as a protective factor. Induction of mammary cancer in rats by administration of the chemical carcinogen 7, 12-dimethylbenz(a)anthracene reveals that the same factors influencing human breast cancer risk also affect the susceptibility of the rat mammary gland to the chemical carcinogen. Nulliparous rats and rats undergoing pregnancy interruption are more susceptible to developing carcinomas. This fact has been attributed to the incomplete differentiation of the gland at the time of carcinogen administration. Parous rats are resistant to the carcinogenic effect of DMBA, which is explained by the complete development of the gland attained during pregnancy and lactation. This development is manifested by the differentiation of terminal end buds into secretory units, which have a smaller proliferative compartment; the epithelial cells of these secretory units have a longer cell cycle, less avidity for binding DMBA, and possess a more efficient DNA excision repair capacity.
    Type of Medium: Electronic Resource
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  • 11
    ISSN: 1573-7217
    Keywords: breast cancer ; clinical correlates ; prostaglandins
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Summary Determination of the levels of prostaglandin E2 (PGE2) and PGF2α were carried out using homogenized primary human breast tumors. Measurable levels of both prostaglandins were found in all but one tumor examined. In most samples, the absolute PGF2α level was higher than that of PGE2. Higher PGE2 levels are more often seen in postmenopausal women than in pre- or perimenopausal patients, though among postmenopausal women, PGE2 levels do not correlate with age. Thus, the ratio of PGF:PGE is higher in pre/perimenopausal women than in postmenopausal women. Differences in PGF2α do not appear to be associated with age or menopausal status. Tumors that are estrogen receptor positive (ER +) tend to have higher PGE2 levels than ER negative tumors. PGF2α is not associated with the presence of ER and neither prostaglandin is associated with the presence of progesterone receptor. Higher levels of both PGE2 and PGF2α are associated with less differentiated tumors, while tumor maximum diameter is negatively associated with PGE2 levels.
    Type of Medium: Electronic Resource
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  • 12
    ISSN: 1573-7217
    Keywords: breast cancer ; IgE ; prognosis
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Summary Serum IgE was measured in presurgical sera from 166 nonallergic women admitted to a comprehensive, multidisciplinary study of primary, operable breast cancer. During the follow-up period, which averaged 48 months, there were 71 recurrences. Patients were divided into two groups: those with IgE levels greater than the geometric mean value of 24 I.U. and those with levels less than the mean. The rate of tumor recurrence was significantly greater for the IgE 〉 24 group (p〈0.03). IgE remained a significant prognostic indicator when evaluated by Cox regression analysis in conjunction with other known prognostic factors including: number of positive lymph nodes, clinical stage, menopausal status, estrogen receptor status, mitotic grade, tumor diameter, breast feeding history, and age of patient (p〈0.015). IgE was not correlated with any of these known prognostic factors in individual analyses. We conclude that serum IgE level is a significant, independent prognostic indicator in primary breast cancer.
    Type of Medium: Electronic Resource
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  • 13
    Electronic Resource
    Electronic Resource
    Springer
    Breast cancer research and treatment 2 (1982), S. 75-84 
    ISSN: 1573-7217
    Keywords: adjuvant therapy ; breast cancer ; clinical trials
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Summary Adjuvant therapy in the past 10 years has gone from experimental to clinical practice for women who are premenopausal. For the postmenopausal and the elderly patient the treatment for some is still experimental and for others proven. Obviously, we need to collect data for all patients because we do not have information on 10 or 20 year survivals, the long-term effects of chemotherapy, or the role of adjuvant hormonal therapy. Likewise further trials are needed to define the optimal duration of treatment, the role of adriamycin combinations, and the utility of chemotherapy in node negative patients. Future trials will undoubtedly include lesser surgery options. The hope of the future lies in the definition of more specific options for treatment, avoiding the unnecessary toxicity of radical surgery, extensive X-ray therapy or needless chemotherapy. These answers will come from well-designed clinical trials, well-integrated with good laboratory studies designed to explore biological as well as mechanistic questions.
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  • 14
    Electronic Resource
    Electronic Resource
    Springer
    Breast cancer research and treatment 2 (1982), S. 257-260 
    ISSN: 1573-7217
    Keywords: age at diagnosis ; breast cancer ; parity
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Summary An evaluation is made of the hypothesis of Woods et al. (1) that the number of full-term pregnancies constitutes a factor of growth acceleration in breast cancer. Our results confirm, at least in part, the effect of parity on age at diagnosis of breast cancer. Patients with two or more children were significantly younger at the time of diagnosis than were those with none or one child. Age at first birth and duration of lactation do not seem to be, in this analysis, confounding factors for the observed association.
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  • 15
    Electronic Resource
    Electronic Resource
    Springer
    Breast cancer research and treatment 2 (1982), S. 385-390 
    ISSN: 1573-7217
    Keywords: breast cancer ; plasminogen activator ; steroid receptors
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Summary A plasminogen activating factor has been isolated and partially characterized in low salt cytosol from human breast cancer. The activity can be precipitated with 40% saturated ammonium sulphate as a high molecular weight aggregate (MW approximately 500,000). The aggregate dissociates in high salt buffer, and chromatography on Sephacryl S-300 or sucrose density gradient centrifugation in 400 mM KCl buffer gives a molecular weight of approximately 55,000. The substance binds with high affinity to lysine-Sepharose and can be eluted from lysine-Sepharose columns with 1.5M NaCl. Affinity chromatography on lysine-Sepharose separates the activator from plasminogen and from inhibitors of plasminogen activation. The activator is irreversibly inhibited by 2 mM DFP (di-isopropyl-fluorophosphate). The plasminogen activating activity (PAA) measured in ammonium sulphate precipitates or affinity column eluates from separate cytosols shows a significant correlation with concentrations of estradiol and progesterone receptors in the corresponding cytosols. The presence of PAA seems to be strictly dependent on the simultaneous presence of progesterone receptor in the tumor, and discriminates sharply between PgR positive and negative tumors, irrespective of estrogen receptor status.
    Type of Medium: Electronic Resource
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  • 16
    Electronic Resource
    Electronic Resource
    Springer
    Breast cancer research and treatment 2 (1982), S. 105-109 
    ISSN: 1573-7217
    Keywords: axillary nodes ; breast cancer ; tumor size
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Summary Study of all lymph nodes removed from the axillary dissection specimens from 37 node-negative and 22 node-positive breast cancer patients showed that the number of nodes present in the specimen increased with the diameter of the primary tumor up to 4 cm. Larger tumors showed fewer nodes. The majority of the tumorbearing nodes were in the middle and lower thirds of the specimen. The mean size of the tumor-bearing nodes was similar to that in the largest nodes from the node-negative patients.
    Type of Medium: Electronic Resource
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  • 17
    ISSN: 1573-7217
    Keywords: breast cancer ; hormonal dependence ; ovariectomy ; predictivity
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Summary Eighty premenopausal patients with advanced breast cancer underwent bilateral ovariectomy. Clinical response was evaluated at 6 months from the operation and correlated with the presence or absence both of estrogen receptors and of elevated urinary androgen excretion. The results obtained show that both parameters considered are actually significant to predict the clinical response to ovariectomy, especially when both of them are concordant.
    Type of Medium: Electronic Resource
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  • 18
    Electronic Resource
    Electronic Resource
    Springer
    Breast cancer research and treatment 2 (1982), S. 261-265 
    ISSN: 1573-7217
    Keywords: breast cancer ; dermatoglyphics ; epidemiology ; genetics
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Summary Fingerprints of one hundred nineteen Caucasian females were obtained. Of these females, thirty-four had histologically proven breast cancer, fifty-three were at high risk for development of breast cancer, and thirty-two comprised a control group. The digital pattern frequencies and the pattern intensity index were significantly different between the three groups. The presence of six or more whorls appears significant as noted by 32.4% of breast cancer patients possessing this number of whorls as compared to 3.1% controls. Also of note is that 95% of subjects with six or more whorls either had cancer or were at high risk.
    Type of Medium: Electronic Resource
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  • 19
    Electronic Resource
    Electronic Resource
    Springer
    Breast cancer research and treatment 2 (1982), S. 391-394 
    ISSN: 1573-7217
    Keywords: adjuvant chemotherapy ; breast cancer ; short treatment
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Summary Our first series started in January 1965. The experimental group (507 cases) received one single, short adjuvant chemotherapy course (cyclophosphamide 5 mg/kg/day for six days, starting immediately after mastectomy). The randomized control group had 519 cases. The 15-year relapse-free rates were 53.70% and 38.09% respectively. Our second series started in March 1977. Now all patients receive one single, short adjuvant chemotherapy course (a multidrug course). Cases with histologically proven axillary metastases are then randomized to a new experimental group with chemotherapy continued for one year, and a control group. The series is still open. Compared with the historical control group without any chemotherapy, the new experimental group fared extremely well. Compared with the new, randomized control group with a short adjuvant course, however, the gain seems only moderate. The side effects of the two schedules for a single, short adjuvant chemotherapy course were practically negligible. The side effects of the continued chemotherapy for one year were considerable, and for some patients not tolerable. Nausea and vomiting tended to increase in severity and duration from course to course. Our tentative conclusions are: one single, short adjuvant chemotherapy course immediately after mastectomy may be recommended to all patients. It does increase the cure rate, and the side effects are acceptable. Extension of adjuvant chemotherapy to treatment for one year is still experimental, and should be restricted to high-risk groups. Further ‘cost-benefit’ analysis of such an extension is needed.
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  • 20
    Electronic Resource
    Electronic Resource
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 18 (1982) 
    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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  • 21
    Electronic Resource
    Electronic Resource
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 18 (1982), S. 41-66 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A system for describing three-dimensional surfaces in a form suitable for finite element analysis is described. The system makes extensive use of real-time interactive computer graphics techniques for both input and display. Discrete transfinite mappings are used as the mathematical basis for the surface representation. The mathematical basis and the reasons for choosing this form of representation are discussed. Explicit forms of the mappings based on Lagrange polynomial interpolation functions are presented. Finally, the interactive graphics procedures for defining finite element meshes are described.
    Additional Material: 21 Ill.
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  • 22
    Electronic Resource
    Electronic Resource
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 18 (1982), S. 99-109 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Two highly accurate implicit Padé approximations to the transient heat conduction equation are investigated using the conjugate gradient method to solve, for the temperatures. The accuracy and stability of the approximations are discussed and numerical examples are presented showing the relative performance. Comparisons with the Crank-Nicolson method are also presented.
    Additional Material: 4 Ill.
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  • 23
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 18 (1982), S. i 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
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  • 24
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    Electronic Resource
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 18 (1982), S. 195-210 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A clearer insight into the ‘shear locking’ phenomenon, which appears in the development of C0 continuous element using shear-flexible or penalty type formulations, is obtained by a careful study of the Timoshenko beam element. When a penalty type argument is used to degenerate thick elements to thin elements, the various approximations of the shear related energy terms act as different types of constraints and, depending on the formulation, two types of constraints which are classified as true or spurious may emerge. The spurious constraints, where they exist, are responsible for the ‘shear locking’ phenomenon, and its manifestation and elimination is demonstrated in a very simple example. The source of difficulty is shown to be the mathematical operations involved in the various shape function definitions and subsequent integration of functionals. It is seen that formulations that ensure only true constraints in the extreme penalty limit cases display far superior performance in the thick element situation as well, and thus guidelines for the development of efficient elements are drawn. A similar type of behaviour is observed in a shallow curved beam element and here ‘inplane locking’ can be eliminated by selective integration to obtain an improved curved beam element. However, ‘inplane locking’ does not cause a spurious constraint as the error quickly vanishes with the reduction of element size for a reasonable radius of curvature conforming with shallow shell theory.
    Additional Material: 6 Ill.
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  • 25
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    Electronic Resource
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 18 (1982), S. 321-322 
    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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  • 26
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 18 (1982), S. 323-341 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The rate of convergence of the finite element method is a function of the strategy by which the number of degrees-of-freedom are increased. Alternative stragegies are examined in the light of recent theoretical results and computational experience.
    Additional Material: 15 Ill.
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  • 27
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 18 (1982), S. 381-396 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Upwind finite element schemes remove spurious oscillations that occur in the solution of diffusion convection equations. Up to now these schemes lose part of their accuracy when the Peclet is large. As an improvement, it is proposed to move the integration nodes along the ‘streamlines’ before evaluating the elementary convection matrices. The displacements of the nodes along the streamlines, which are one-dimensional manifolds, are calculated analogously to well-known one-dimensional formulae. The last section of this paper illustrates this new method with the help of four examples which show its validity.
    Additional Material: 10 Ill.
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  • 28
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 18 (1982), S. 314-320 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Quarter-point elements are used very frequently for fracture mechanics computations, because the quarter-point technique yields the required singular interpolation without any modification to existing software. This advantage is particularly significant for three-dimensional stress intensity factor computations because of the difficulty of implementing other techniques. However, in practical 3-D applications, the crack front is usually curved, and this note proves that a crack front distortion leads to a negative Jacobian in the region surrounding the crack front. The numerical difficulties to be expected depend on the aspect ratio of the elements.
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  • 29
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    International Journal for Numerical Methods in Engineering 18 (1982), S. 343-350 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The paper presents a smoothing technique to the oscillated contact pressure obtained by penalty methods for a class of unilateral contact problems in linear elasticity. The main result is to show that the smoothed contact pressure satisfies the so-called Babuska-Brezzi condition which dominates the convergence of the penalty method. One numerical example is described.
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  • 30
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    International Journal for Numerical Methods in Engineering 18 (1982), S. 435-444 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A method for the exploitation of screw translation symmetry for the vibration analysis of structures is presented. The method is capable of providing significant computational economies over the use of the lower axial translational symmetry of such structures.
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  • 31
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    International Journal for Numerical Methods in Engineering 18 (1982), S. 629-630 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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  • 32
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    International Journal for Numerical Methods in Engineering 18 (1982), S. 632-634 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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  • 33
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    International Journal for Numerical Methods in Engineering 18 (1982), S. 661-673 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Optimal structural desingn generally deals with frame or shell structures where the optimization is limited to resizing of structural members to obtain optimum cross-sections or thicknesses. Shape optimization solves another class of problems involving continuous structural components where the optimum shape (the shape of the boundaries and the surfaces of the components) is determined. This report describes shape optimization of three-dimensional structural components. The finite element method of analysis is used employing the 20-noded isoparametric element. The objective function, mass, is minimized by the direct use of nonlinear mathematical programming, specifically the feasible direction method. Numerical shape representation and the selection of design variables are the most important aspects of the problem. The problem is addressed from a practical standpoint and techniques are presented to minimize the number of desingn variables. Isoparametric representation of the surfaces and the numerical superposition of shapes are discussed. These techniques are compared and demonstrated on simple cantilever beams and their minimum mass designs are obtained. In one example, the optimum shape of a non-uniform cross-sectinal beam is obtained under stress constraint. The final design has a crosssectional shape varying over the length of the beam which could not be predicted using the bending theory of beams. One major difficulty encountered in some problems was that the shape changes during the optimization process may require a change in the finite element mesh because the initial configuration of the finite element mesh may result in very distorted elements for the new shape. The analyis with a mesh containing distorted elements may not be possible at all or the results of the analysis may be inaccurate.
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  • 34
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    International Journal for Numerical Methods in Engineering 18 (1982), S. 727-735 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Vector functions having a constant or zero divergence over a quadrilateral domain are derived using a parametric co-ordinate formulation. Expansion functions with a constant curl, defined over parallelograms and triangles, which can be used in moments-based investigations of electromagnetic wave interactions with surfaces and apertures, are then obtained. Finally, two basis functions, which have appeared in the literature and have been used to solve field problems associated with rectangular apertures and arbitrary surfaces, are identified as special cases of these expansion functions.
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    International Journal for Numerical Methods in Engineering 18 (1982), S. 927-944 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Finite element formulation for stress analysis of a twisting beam is developed. The formulation is effective for a prismatic beam with solid section as well as a thin-walled beam, and can be applied both to a pure-torsion problem and a warping-torsion problem. The formulation is of a great advantage to an elastic-plastic torsion problem. The formulation does not stand on the assumption of a thin-walled structure, and therefore torsional rigidity of the section can be evaluated exactly without using the so-called Saint-Venant's torsional constant. Torsional rigidity is, in this paper, evaluated directly by a warping function of the section. Warping function is evaluated numerically due to shape of the section, due to progress of plastic region and due to effect of finite displacement (finite rotation, small strain). Pure-torsion and warping-torsion of a rectangular beam and an H-beam, which have an elastic-plastic material property, are analysed, and the extension to the finite displacement problem is discussed. Many numerical examples are provided in order to check the accuracy of the formulation.
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    International Journal for Numerical Methods in Engineering 18 (1982), S. 955-957 
    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 18 (1982), S. 967-979 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A simple, efficient and economical numerical technique for the analysis of shallow shells-of arbitrary shape is presented. The technique is based upon the method of constant-deflection contours combined with the well-known finite element method. In the proposed method the elemental stiffness matrix is derived from a system of two consistent partial differential equations for two scalar functions using Galerkin's method. Several representative examples are included to indicate the effectiveness of the method.
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  • 38
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    International Journal for Numerical Methods in Engineering 18 (1982), S. 997-1017 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: An equation solver for the large unsymmetric systems of linear equations arising in the application of the boundary integral equation method to problems of linear elasticity in homogeneous or piecewise homogeneous solids is presented. The solver uses Gaussian elimination. The advantages of the solver over many existing eliminational or iterational methods are that it ignores many of the large groups of zeros that occur in piecewise homogeneous work, and also restrains growth of the number of non-zero matrix entries. Memory requirements and computation times therefore are reduced for many piecewise homogeneous problems.
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  • 39
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    International Journal for Numerical Methods in Engineering 18 (1982), S. 1055-1061 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Methods are described for forming element matrices for a wide variety of operators on tetrahedral finite elements, in a manner similar to that previously employed for line segments and triangles. This technique models the differentiation and product-embedding operators as rectangular matrices, and produces finite element matrices by replacing all required analytic operations by their finite matrix analogues. The method is illustrated by deriving the conventional matrix representation for Laplace's equation. Computer programs are available, which generate universal finite element matrices for use in various applications.
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  • 40
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    International Journal for Numerical Methods in Engineering 18 (1982), S. 1101-1103 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Ingraffea and Manu1 and Lynn and Ingraffea2 have shown that the size of the quarter-point elements can affect the computed elastic stress intensity factor. The nature of the effect is such that, all other details remaining constant, there is a particular crack tip element size which minimizes the error in the computed stress intensity factor. Here, size of element means the radial edge length. The reasons for this size dependence are discussed below. It will be seen that the discussion is in terms of the need to simultaneously represent the singular and finite stress terms in a given problem. The discussion has relevance to other formulations of crack tip elements.
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  • 41
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    International Journal for Numerical Methods in Engineering 18 (1982), S. 1115-1130 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: In a previous paper it has been proved by the author that the integral equations arising from the application of Green's formula to the Helmholtz equation in a limited domain can show a certain type of numerical instability, if a real Green's function is used. It has been also proved that such instabilities cannot arise if a complex Green's function is employed.However, it has been found in this latter case also that numerical instabilities can occur. This has been proved and thoroughly analysed for a circular domain, and a technique of avoiding these instabilities has been devised.Furthermore, when this technique is followed, very accurate results can be obtained, regardless of wavenumber used. Thus, only three or four segments are sufficient to describe a wavelength, contrary to what until now has been obtained, i.e. that at least six segments are always necessary. This last result has been shown to be valid also for geometries other than the circular one.
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  • 42
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    International Journal for Numerical Methods in Engineering 18 (1982), S. 1145-1151 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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  • 43
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    International Journal for Numerical Methods in Engineering 18 (1982), S. 1699-1717 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Dependence of dynamic response of nonlinear mechanical systems on design variables is analysed. An adjoint variable method is used to derive first- and second-order derivatives of measures of dynamic response with respect to design variables. A computational algorithm is presented for numerical calculation of first and second design derivatives. A simple oscillator example is solved analytically and by the adjoint variable method, with identical results. A burst fire automatic weapon mechanism with linear and nonlinear damping is treated numerically. It is shown that quadratic appriximations of dynamic response, using results of second-order design sensitivity analysis, can be substantially better than conventional linear approximations.
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    International Journal for Numerical Methods in Engineering 18 (1982), S. 1739-1739 
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    Keywords: Engineering ; Engineering General
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  • 45
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    International Journal for Numerical Methods in Engineering 18 (1982) 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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  • 46
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    International Journal for Numerical Methods in Engineering 18 (1982), S. 1745-1764 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Problems involving the diffusion and transport (angular dependence considered) of neutron radiation are frequently encountered in radiation physics and nuclear engineering. Neutron diffusion problems require substantial computer storage arising from the energy and spatial dependence, while in the case of transport problems the angular dependence of the neutron flux and of the neutron scattering process gives rise to a further considerable increase in storage. In the present work, a method has been developed which greatly eases the bandwidth problem in the solution of large systems of linear equations and algorithms have been developed to assemble and solve such systems of equations in one and two dimensions. The formalism used is the variational method and, for simplicity, linear interpolating functions have been used to derive a symmetric banded system of equations. Finite element algorithms have been implemented in the codes FEED1 and FEED2, which treat one and two space dimensions, respectively. Three benchmark problems are analysed in this paper and results are compared with finite difference discrete ordinate method solutions. It is shown that the finite element method provides fast and accurate solutions to neutron diffusion and transport problems.
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  • 47
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    International Journal for Numerical Methods in Engineering 18 (1982), S. 1829-1854 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: A general and systematic discussion on the use of the operational method of Laplace transform for numerically solving complex time-dependent linear problems is presented. Application of Laplace transform with respect to time on the governing differential equations as well as the boundary and initial conditions of the problem reduces it to one independent of time, which is solved in the transform domain by any convenient numerical technique, such as the finite element method, the finite difference method or the boundary integral equation method. Finally, the time domain solution is obtained by a numerical inversion of the transformed solution. Eight existing methods of numerical inversion of the Laplace transform are systematically discussed with respect to their use, range of applicability, accuracy and computational efficiency on the basis of some framework vibration problems. Other applications of the Laplace transform method in conjunction with the finite element method or the boundary integral equation method in the areas of earthquake dynamic response of frameworks, thermaliy induced beam vibrations, forced vibrations of cylindrical shells, dynamic stress concentrations around holes in plates and viscoelastic stress analysis are also briefly described to demonstrate the generality and advantages of the method against other known methods.
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  • 48
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    International Journal for Numerical Methods in Engineering 18 (1982), S. 11-29 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The dispersive properties of finite element semidiscretizations of the two-dimensional wave equation are examined. Both bilinear quadrilateral elements and linear triangular elements are considered with diagonal and nondiagonal mass matrices in uniform meshes. It is shown that mass diagonalization and underintegration of the stiffness matrix of the quadrilateral element markedly increases dispersive errors. The dispersive properties of triangular meshes depends on the mesh layout; certain layouts introduce optical modes which amplify numerically induced oscillations and dispersive errors. Compared to the five-point Laplacian finite difference operator, rectangular finite element semidiscretizations with consistent mass matrices provide superior fidelity regardless of the wave direction.
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  • 49
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    International Journal for Numerical Methods in Engineering 18 (1982), S. 89-98 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: Masters are defined as the degrees-of-freedom that are retained in the reduced eigenvalue problem. Various qualitative guidelines to select masters are published in the literature, but it is difficult to apply them to complex structures. In this paper a computational algorithm to select masters for complex structures is presented. This algorithm is based on a guideline14 which assures that the associated Guyan reduction process is valid. This algorithm eliminates one degree-of-freedom at a time satisfying the guideline, and preserves lower frequencies in the reduced eigenvalue problem. The algorithm presented in this paper is used to select masters for four different structural models. The natural frequencies of the associated reduced eigenvalue problems are calculated and compared with those calculated from the full eigenvalue problems.
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  • 50
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    International Journal for Numerical Methods in Engineering 18 (1982), S. 135-149 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: A finite element model for symmetrically loaded shells of revolution is described. The nonlinear geometric effects are accounted for by incrementing loads and iterating for equilibrium. The iteration process also allows for nonlinear materials. The shell model accounts for large strains, large rotations and shear deformation. Three example problems demonstrate the ability of this model to solve linear problems. Also, three example problems demonstrate the versatility and accuracy of this model for nonlinear problems. These nonlinear example problems are an axially loaded cylinder and an internally pressurized spherical shell that have large membrane strains, and a cylinder that deforms into a spherical shape, having large rotations.
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    International Journal for Numerical Methods in Engineering 18 (1982), S. 166-166 
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    Keywords: Engineering ; Engineering General
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  • 52
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    International Journal for Numerical Methods in Engineering 18 (1982), S. 167-180 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: The paper outlines a numerical procedure for the finite element solution of convective diffusion problems with significant convective terms using conventional (not upwinded) Galerkin methods in connection with ‘boundary-layer type’ elements. The underlying argument in the sequel is that the poor stability properties of conventional Galerkin methods are caused by the insufficient approximation of eigensolutions. These are located at some sections of the boundary and are only present within a generally very thin layer. Consequently, the identification of these layers and the satisfactory approximation of the eigensolutions are necessary and totally sufficient for a satisfactory solution. In the following we intend to present this procedure, its theoretical background and selected numerical results.
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  • 53
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    International Journal for Numerical Methods in Engineering 18 (1982), S. 245-257 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: The solution of elastostatic bodies in frictionless contact is obtained by an automated direct method which exploits the theory of linear elasticity and circumvents the need for the inclusion of artificial interface elements, mathematical programming techniques or computation of contact pressure. The method is simple and economical to use and can be easily appended to existing numerical schemes such as the finite element method. The formulation and numerical algorithm are presented for body combinations which are independent of relative tangential displacements along the contact surface. The method is illustrated through an elementary example amenable to hand calculation. Numerical results for more realistic problems are given and compared to known solutions. It is concluded that the method provides a powerful means for both the analysis and design of contacting bodies when used in conjunction with a finite element computer program.
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    International Journal for Numerical Methods in Engineering 18 (1982), S. 291-309 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: A finite element stress analysis capability for plane elasticity problems, employing the principle of stationary complementary energy, is developed. Two models are investigated. The first is a 24 d.o.f. rectangular finite element. The second model consists of an 18 d.o.f. triangular element. In order to allow for self-equilibrating stresses which are continuous within the element, the well-known Airy stress function ø is used. The function ø is represented by means of quintic Hermitian polynomials within the finite element. The values of the ø function and its derivatives up to order two are used as nodal parameters. For matching the stress function with the prescribed boundary tractions, additional equations are developed considering the force and moment equilibrium equations on the boundary consistent with the assumed stress function. These additional boundary equations are incorporated into the system equations using the Lagrangian multiplier technique. Excellent results are obtained for linear elastic problems even with coarse finite element discretization. Some examples of plane elasticity problems are solved and results compared.
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  • 56
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    International Journal for Numerical Methods in Engineering 18 (1982), S. 363-380 
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    Notes: The problem related to the derivation of conforming deep shell finite elements is examined in the light of the thin shell theory and using the classical Loves strain energy formulation. A family of quadrangular finite elements allowing for variable curvature is developed. It is shown how an exact conformity of the displacements can be ensured in a large number of cases.Various static and dynamic applications are used to illustrate the advantages of these elements.
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    International Journal for Numerical Methods in Engineering 18 (1982), S. 397-419 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The development of a geodesic beam finite element for use with a specific circular cylindrical shell finite element in the analysis of reinforced circular cylinders is described.The basic strain and curvature change equations are given and, from these, three versions of the geodesic beam element are developed. Two of the beams have nodal degress-of-freedom identical with the shell element. They differ in the treatment of the terms relating to rotation about the principal normal. The first version ignores this parameter but, under certain circumstances, the stiffness matrix contains terms which can contribute to the strain energy under arbitrary rigid body movement of the beam. This deficiency is removed by applying an aspect of Koiter's theory which is used to transform the curvature change equations.The introduction of additional rotational degress-of-freedom, at the end nodes of the beam element, produces a variation which is capable of accurately representing and transmitting in-surface bending effects to an adjoining beam element.Numerical evaluation successfully compares finite element solutions to basic problems for straight, circular and helical beams with theoretical strain energy solutions. Finally the beam is used in conjunction with a shell element to analyse an infinitely long circular cylinder, reinforced with equispaced rings, subjected to internal pressure.
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  • 58
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    International Journal for Numerical Methods in Engineering 18 (1982) 
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  • 59
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    International Journal for Numerical Methods in Engineering 18 (1982), S. 521-533 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: Finite element analysis of engineering structures commonly requires the use of inter-nodal displacement constraints. Current algorithms for this facility - elimination, Lagrange multipliers and penalty function methods - are briefly reviewed. An alternative approach is proposed which avoids some of the problems of these methods. This technique uses solution of the unconstrained stiffness equation with an extended number of right-hand sides. The resulting solutions are then combined to satisfy the constraints. This method has application in the synthesis of sub-structures with incompatible boundary variables. It is particularly efficient when the constraint affects many variables but the kinematics of the constraint can be expressed in terms of few independent variables, e.g. rigid body motion of part of the structure. In common with the Lagrange method, it produces data for use in a nonlinear analysis with constraints. The formulation of ‘rigid body’ constraints in geometric nonlinearity is detailed and demonstrated.
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  • 60
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    International Journal for Numerical Methods in Engineering 18 (1982), S. 569-582 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: All physical process change with time and although physicists and engineers often freeze them to simplify their model studies, this is not always possible. Add to this the existence of several subregions within the modelling domain with different physical properties, the size and number of which change with time, and one has produced what might appear to be an intractable problem. Previous studies have shown that adaptive grids are an inconvenient way of modelling such moving interface problems and suggested that the use of a fixed grid with special discontinuous elements affords an efficient solution technique.This work presents and develops the characteristic matrices for two such elements, namely a quadratic triangle with an internal interface modelled by two straight lines and a quadratic isoparametric element. Both these elements are tested against an analytical solution to a simple Poisson equation. Such tests reveal the performance of the proposed elements to be satisfactory except for the definition of gradients near the interface.
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    International Journal for Numerical Methods in Engineering 18 (1982), S. 591-607 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: To account for plastic deformation in plate and shell structures an elasto-viscoplastic solution algorithm is considered based on Perzyna's model for material behaviour. This algorithm can be employed to solve for time-dependent elasto-viscoplastic situations and by allowing steady-state conditions to be reached, elasto-plastic problems can also be considered.For the large displacement elasto-viscoplastic analysis of thin shells, an incremental stiffness procedure is employed together with a Lagrangian description of the stress and strain vectors. The Semiloof plate and shell elements are used for finite element space discretization.The procedures developed are applied to the solution of several numerical examples and the solutions compared with results from other sources where available.
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    International Journal for Numerical Methods in Engineering 18 (1982) 
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    Source: Wiley InterScience Backfile Collection 1832-2000
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    International Journal for Numerical Methods in Engineering 18 (1982), S. 675-685 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The position, size and surface temperature of circular holes inside a two-dimensional heat conductor are optimized to produce a minimum variation in surface temperature over a portion of the outer boundary. This problem, whic arises in thermal desing of moulds and dies, resembles those encountered in structural shape optimization because the internal geometry of the heat conductor depends on the design variables. In this paper, some of the traditional difficulties associated with shape optimization are overcome by analysing steady heat conduction with a special boundary integral method developed for two-dimensional regions with circular hole. This approach eliminates the need to regenerate a finite element mesh over the interior of the region each time the geometry is changed during the design process. It also increases the efficiency of the analysis by reducing the number of unknowns in the numerical discretization of the region. Since the objective function depends only on the boundary temperatures, there is no need to determine temperatures in the interior.The analysis method is applied to two problems arising in optimal thermal design of compression moulds. These examples show that the number of holes choson for the design strongly affects their resulting optimal arrangement as well as the ultimate uniformity of the cavity surface temperature.
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    International Journal for Numerical Methods in Engineering 18 (1982), S. 755-764 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: A triangular plate bending hybrid element is constructed according to Reissner's principle. It has 9 degrees-of-freedom and the shear effect is included. The C0 formulation of thick plate is directly developed to solve the thin plate by imposing the discrete Kirchhoff constraints. The matching problem for bending and shear in the hybrid model of thick plate is effectively treated by use of the principle of the energy regulation such that the unified analysis of thick and thin plates is realized. Finally, numerical examples are presented.
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    International Journal for Numerical Methods in Engineering 18 (1982), S. 798-798 
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    International Journal for Numerical Methods in Engineering 18 (1982), S. 798-798 
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  • 67
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    Notes: In this paper a triangular thin shell element is presented where C1 continuity is introduced by means of the penalty function technique. The displacement field has complete cubic polynomials for each component. The introduced constraint condition is the continuity of normal slopes of the transverse displacements along interelement boundaries. Classical thin shell theory for small deformations is applied. Several analyses of thin plates and shells are performed, including a large problem of practical interest, to study the effect of an increasing penalty factor. The accuracy of the results is estimated and compared to the actually occurred error. In the conclusions a recommended value for the penalty factor is given.
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    International Journal for Numerical Methods in Engineering 18 (1982), S. 909-926 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: An interactive computer graphic system has been developed for generating and editing three-dimensional finite element meshes. The various difficulties inherent to the generation of solid three-dimensional geometries through an effective use of computer graphic techniques are examined to explain the advantages of this system. The method is a combination of discrete transfinite mapping and cubic spline blending algorithms, used, respectively, to create plane cross-sectional meshes, and to generate the three-dimensional geometry by interpolaring between the cross-sections. The communication between analyst and machine is based on a digitizing tablet and a refresh vector scope. The dynamic viewing capabilities and depth cueing of the vector display greatly enhance the perception of the mesh three-dimensionality. Multi-view dynamic display is also employed to facilitate node or element selection. The flexibility and usefulness of the system are illustrated with the help of three examples of practical interest.
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    International Journal for Numerical Methods in Engineering 18 (1982), S. 954-955 
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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 18 (1982), S. 959-966 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Presented herein are methods to generate special interpolation formulae of the following type: (i) C0 continuous interpolation over triangular elements which induces a given type of singularity for the first derivatives at one of the vertices, and yet preserves ‘rigid and constant strain’ motions, (ii) C1 continuous interpolation over triangular elements which induces a given type of singularity for second derivatives at one of the vertices.
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    International Journal for Numerical Methods in Engineering 18 (1982), S. 1019-1029 
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    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: An explicit algorithm which gives stable finite-difference schemes, of order of accuracy greater than two, for solving a quasi-linear hyperbolic system of partial differential equations in several space dimensions is presented. Third and fourth order accuracy schemes are derived using this algorithm. The fourth order scheme needs fewer flux evaluations than the scheme given by Abarbanel and Gottlieb.1 Numerical results obtained show that these schemes have the expected accuracy and stability.
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    International Journal for Numerical Methods in Engineering 18 (1982), S. 1063-1076 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Displacement formulated singular elements are compared to isoparametric quarter-node elements. The total stress and displacement solution for each element is decomposed into singular and regular components for evaluating stress intensity factors. Specific relationships between nodal displacements and the singular component of stress are presented for the isoparametric element at selected locations within the element. Numerical results for KI and KII in the slant crack problem are presented. The singular components are shown to produce superior results when considering crack opening displacements.
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    International Journal for Numerical Methods in Engineering 18 (1982) 
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    International Journal for Numerical Methods in Engineering 18 (1982), S. 1197-1211 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A compact FORTRAN subroutine for reducing unsymmetric band matrices (in-core solution) is presented. As usual, the zeros inside the band are skipped during the Gauss elimination. However, the theme of the paper is centred on a new approach in applying the above-mentioned band solver to transient problems. The approach results in considerable saving of computational time while also achieving reduction in memory space. This double advantage makes it particularly useful in handling dynamic real world problems. Extension of the use of the algorithm to moving boundary problems is indicated.
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    International Journal for Numerical Methods in Engineering 18 (1982), S. 1245-1248 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: Simplicial finite elements have many symmetries, which are commonly exploited in programs to save computing time and storage. All possible permutations of the interpolation functions of an N-simplex can be expressed in terms of N basic permutation operations. The relevant permutation matrices are given for triangles up to order 20 and tetrahedra up to order 10.
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    International Journal for Numerical Methods in Engineering 18 (1982), S. 1265-1270 
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    International Journal for Numerical Methods in Engineering 18 (1982), S. 1297-1311 
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    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: Two new finite elements are developed for the Mindlin theory plate bending problem. The formulation is based on the modified Hellinger-Reissner principle with independent transverse shear strains. Numerical examples indicate that, with properly assumed transverse shear strains, these new elements designated as PLAT8 and PLAT8H do not exhibit locking effect even for very thin plates.
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    International Journal for Numerical Methods in Engineering 18 (1982), S. 1375-1384 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: Integration over triangles where the integrand contains a singularity at one of the vertices is considered in this paper. The applications for such problems arise in using the boundary element method. Low order formulae are presented and compared to previous methods where the singularity was not considered.
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    International Journal for Numerical Methods in Engineering 18 (1982), S. 1401-1411 
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    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: An exact expression is derived for the potential due to a uniform source distribution over a triangular domain. This expression, which is valid for arbitrary field points, is important for the numerical solution of electromagnetic field problems. Numerical values of the potential are calculated by using the expression obtained, and are compared with the results derived by numerical integration.
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    International Journal for Numerical Methods in Engineering 18 (1982), S. 1423-1423 
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    International Journal for Numerical Methods in Engineering 18 (1982), S. 1425-1427 
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    International Journal for Numerical Methods in Engineering 18 (1982), S. 1455-1468 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: Hybrid stress elements are known to provide accurate results for analyses of plate bending; in particular, for the prediction of moment distribution. The construction of hybrid stiffness matrix requires numerical inversion of a moment matrix, evaluation of some relatively complicated boundary integrals and several matrix transformations. Each of these operations can be time-consuming, and the matrix inversion can result in a loss of numerical accuracy.This paper devises methods to explicitly invert the moment matrices. We find that for triangular elements the inverse is independent of the element shape and is only inversely proportional to its size. We also use a novel set of displacement variables, which greatly simplifies the boundary integration. The displacement variables are chosen in a hierarchical form so that lower order elements can be determined by straightforward reduction of excess terms in a higher order element. Except for the nodal displacements at the vertices, the present approach involves only variables at the midpoints of the sides of an element.
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    International Journal for Numerical Methods in Engineering 18 (1982), S. 1505-1520 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The present paper deals with the theoretical and numerical treatment of dynamic unilateral problems. The governing equations are formulated as an equivalent variational inequality expressing D' Alembert's principle in its inequality form. The discretization with respect to time and space leads to a static nonlinear programming problem which is solved by an appropriate algorithm. Some properties of dynamic unilateral problems are outlined and the influence of several parameters on the solution is investigated by means of numerical examples.
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    International Journal for Numerical Methods in Engineering 18 (1982), S. 1565-1568 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The use of warping displacement functions for the torsional stiffness representation of beams with rectangular cross-sections is studied. These functions can directly be employed in the displacement-based formulation of Hermitian and isoparametric three-dimensional beam elements for linear, elastic-plastic or large displacement/large rotation analysis. the results of some studies are given to demonstrate the applicability and use of the proposed functions.
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    International Journal for Numerical Methods in Engineering 18 (1982), S. 1583-1585 
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    International Journal for Numerical Methods in Engineering 18 (1982), S. 1601-1611 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A closed solution for dynamic problems with the transform technique is possible for linear behaviour only. Therefore, a strategy for the solution involving nonlinear material behaviour has been developed. Herewith, an iterative equalization is made possible by the repeated transform of the differential equations given through the initial strain method.
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    International Journal for Numerical Methods in Engineering 18 (1982), S. 1679-1684 
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    International Journal for Numerical Methods in Engineering 18 (1982), S. 1719-1732 
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    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: A two-dimensional linear elastodynamic analysis of crack initiation, fast crack propagation and crack arrest in the DCB specimen is presented. The analysis is performed using the previously developed SMF2D code in its generation mode. The experimentally measured crack tip motion, as well as the specimen's geometry and its material characteristics, serve as input to the simulation. The dynamic stress intensity factor, the dynamic energy release rate and the various distributions of energies are subsequently evaluated. The numerical results are found to be in very good agreement with analytical and experimental findings.
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    International Journal for Numerical Methods in Engineering 18 (1982), S. 1733-1735 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: The solution of a fourth order differential equation, which governs a number of problems in structural mechanics and possibly elsewhere, is considered. It is shown how the use of complex arithmetic can be avoided in the computation.
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    International Journal for Numerical Methods in Engineering 18 (1982), S. 1739-1740 
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    International Journal for Numerical Methods in Engineering 18 (1982), S. 1765-1784 
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    Notes: A powerful new finite boundary concept of seeking field solution, at few selected regions in the solution domain, is introduced. Also a highly economical finite boundary method (FBM) which would greatly reduce the size of the coefficient matrix of the resulting system of simultaneous algebraic equations, requiring lesser computer memory and lesser computing time, is developed. Fluid flow fields governed by the basic elliptic partial differential equations - the Laplace's and the Poisson's equations - in two independent variables are mainly considered. The computational merits of the FBM are shown by solving, as an example, a simple representative flow problem, and the relevant computational finite boundary formulae are given in tabular form. The formulae are numerically derived based on a generalized method presented here. The added feature of the FBM is that it proves to be equally economical even when the solution is sought in the entire flow domain. The problem of steady-state viscous flows governed by the Navier-Stokes equations, the system of two simultaneous partial differential equations - the Poisson's equation and the vorticity transport equation - makes the FBM doubly economical. The possibility of developing an efficient hybrid computational algorithm, for curved problem boundaries, in conjunction with the finite element method, is discussed. The extension of FBM to transient, non-elliptic problems and to three-dimensional problem fields is also indicated. The FBM has been discussed in a more detailed manner so as to clearly bring out the advantages of the new finite boundary concept.
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    International Journal for Numerical Methods in Engineering 18 (1982), S. 1801-1820 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: A Fourier series solution is presented for a system of first-order partial differential equations which describe the linear elastic behaviour of a thick rectangular plate resting on an elastic foundation and carrying an arbitrary transverse load. The lateral edges of the plate are unstressed. A central step in the method for solving the system of equations is to combine a complementary function with a particular solution of the system in order to satisfy the boundary conditions. The complementary function is the sum of two series. The terms of the first series are products of a Fourier term in one space variable with the solution of an eigenvalue problem in the other space variable. The second series is similar and comes from reversing the roles of the space variables.
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    International Journal for Numerical Methods in Engineering 18 (1982), S. 1855-1871 
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    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: A finite element nonlinear shell model has been developed using Reissner's symmetrically loaded shell-of-revolution theory. This model is capable of modelling nonlinear strains, large rotations and nonlinear materials. This paper discusses the limitations of this model by deriving the basic equations and describing the simplifying assumptions used in the theory and the model. Possible extensions of the model are discussed also.
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    International Journal for Numerical Methods in Engineering 18 (1982), S. 259-271 
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    Notes: A hybrid stress finite element procedure for the solution of bending stress intensity factors of a plate with a through-the-thickness crack is presented. Reissner's sixth-order plate theory including the effects of transverse shear deformation is used. The dominant singular crack tip stress field is embedded in the crack tip singular elements and only regular polynomial functions are assumed in the far field elements. The stress intensity factors can be calculated directly from the crack tip singular stress solution functions. The effects of the plate thickness, the ratio between the crack size and the inplane dimension of the plate, and the singular element size on the stress intensity factor solution are investigated.The effects of the explicit enforcement of traction-free conditions along crack surfaces, which are the natural boundary conditions in the present hybrid stress finite element model, are also investigated. The numerical results of bending of a plate with a straight central crack compare favourably with analytical solutions. It is also found that the explicit enforcement of traction-free conditions along crack surfaces is mandatory to obtain meaningful results for the Mode I type of bending stress intensity factor.
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    International Journal for Numerical Methods in Engineering 18 (1982), S. 477-502 
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    Notes: A geometrically nonlinear formulation using total Lagrangian approach is presented for the axisymmetric shell elements. The basic element is formulated using the co-ordinates of the mid-surface nodes and the mid-surface nodal point normals. An important aspect of the formulation presented here is that the restriction on the magnitude of the nodal rotations is eliminated. This is accomplished by retaining true nonlinear nodal rotation terms in the definition of the displacement field and the consistent derivation of the element properties based on this displacement field. The element properties are derived and presented in detail. Numerical examples are also presented to demonstrate the element behaviour and the accuracy.
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    International Journal for Numerical Methods in Engineering 18 (1982), S. 775-781 
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    International Journal for Numerical Methods in Engineering 18 (1982), S. 798-798 
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    International Journal for Numerical Methods in Engineering 18 (1982), S. 801-828 
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    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Hybrid-stress eight-node isoparametric multilayer plate elements are developed for the analysis of thin to thick fibre-reinforced composite plates. Transverse shear deformation effects are incorporated by allowing a linear through-thickness displacement variation for in-plane displacements in each layer, with displacement continuity enforced along interlayer surfaces. An alternative, kinematically constrained through-thickness displacement distribution is also studied, characterized by laminate reference plane displacements and non-normal rotations. All stress components are included and are interpolated independently within each layer; interlayer surface traction continuity and laminate upper/lower surface traction-free conditions are satisfied exactly. Alternative forms of in-plane stress distributions are examined and the best is shown to be based on a rationale used previously for single layer hybrid-stress plate elements to avoid locking in the thin plate limit. Selected example problems are used to demonstrate the convergence and effects of plate thickness for each of the elements, and limited stress results serve to verify the expected optimal sampling points.
    Additional Material: 11 Ill.
    Type of Medium: Electronic Resource
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  • 99
    Electronic Resource
    Electronic Resource
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 18 (1982), S. 879-895 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A transitional shell finite element which is useful for the analysis of shells of revolution with local deviations is developed. For the analysis of such a structure, rotational shell elements may be used in the axisymmetric portion of the shell, while general shell elements are needed in the region where deviations create a local non-axisymmetry. The transitional shell element connects these two different types of elements. To facilitate the transition, a line node, which can accommodate any type of shape function, is developed. Numerical examples are presented to demonstrate the accuracy of the new element.
    Additional Material: 11 Ill.
    Type of Medium: Electronic Resource
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  • 100
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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