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  • 1
    Electronic Resource
    Electronic Resource
    Microrheology of crystalline media (1973)
    Springer
    Rheologica acta 12 (1973), S. 177-182 
    Details
    ISSN: 1435-1528
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01635100
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Microrheology of fibrous systems (1973)
    Springer
    Rheologica acta 12 (1973), S. 170-176 
    Details
    ISSN: 1435-1528
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Physics
    Description / Table of Contents: Zusammenfassung In der vorliegenden Arbeit wird die Mikrorheologie einer 2-dimensionalen Faser-Struktur behandelt. Es wird ein mathematisches Modell vorgeschlagen, welches den Aspekt einer atomaren Bindung zwischen den Fasern einbezieht. Es werden in dieser Theorie drei Maßskalen eingeführt sowie eine „Materialfunktion“, welche die geometrischen und rheologischen Eigenschaften der Struktur wiederspiegelt. Erst wird die Deformationskinematik der einzelnen Fasern behandelt, sodann wird die Faser-Faser-Einwirkung mit. Hilfe einer generalisierten Kraft formuliert. Schließlich wird die entsprechende Materialfunktion formuliert, die für die Beschreibung der Reaktion einer Faserstruktur zu einer mechanischen Beanspruchung benötigt wird.
    Notes: Summary The present work is concerned with the microrheology of a 2-dimensional fibrous system. A mathematical model is proposed that contains the aspects of bonding between fibres. The notion of three measuring scales, as well as the concept of a “Material Functional” that reflects the geometrical and rheological properties of the network is introduced in the analysis. The deformation kinematics is treated first for single fibres and then the fibre-fibre interaction by using a generalised force concept is considered. A formal presentation of the material functional required for the characterization of the fibrous network response is given.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01635099
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Stochastic transport theory for porous media (1990)
    Springer
    Zeitschrift für angewandte Mathematik und Physik 41 (1990), S. 157-173 
    Details
    ISSN: 1420-9039
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract The type of porous media considered in the present study consists of a randomly structured solid or α-phase in which the existing voids permit the transport of fluid orβ-phase, when a material sample is subjected to an external load. By introducing a system functional characterizing the constraint flow of theβ-phase and a set of control parameters, the solution of the random flow process is shown to be a strong Markov or diffusion process in the velocity space or subspace of the more general probabilistic function space. The analysis is illustrated by experimental observations on a particular porous medium, i.e. Al-Glycol-Resin composite and the obtained results by the use of scanning-electron microscopy and quantitative stereology.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00945106
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    On the longitudinal wave propagation in a viscoelastic cylinder (1966)
    Springer
    Zeitschrift für angewandte Mathematik und Physik 17 (1966), S. 511-518 
    Details
    ISSN: 1420-9039
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Résumé L'auteur étudie le calcul des déplacements d'un matériau visco-élastique linéaire dans un cylindre d'étendue finie qui sont produits par des oscillations longitudinales. Il montre qu'avec une approximation pour le cas des basses fréquences, on arrive au même résultat que celui obtenu de façon rigoureuse par un autre auteur. De plus, il montre que cette méthode peut être utilisée dans la region de hautes fréquences.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01595985
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  • 5
    Electronic Resource
    Electronic Resource
    Stochastic analysis of polymer melts with a binary structure (1992)
    Springer
    Zeitschrift für angewandte Mathematik und Physik 43 (1992), S. 536-552 
    Details
    ISSN: 1420-9039
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract The present study is concerned with the stochastic dynamics of two immiscible polymer melts. The binary structure of the overall melt consists of chain-molecules of both theα- andβ-phase in form of random coils. The stochastic dynamics is based on the motion of individual monomeric units forming a macro molecule. The weak interactions between theα,β molecules are seen as “temporary junctions” in the microstructure obeying a van der Waals type bonding. These junctions can be characterized by a BD-Poisson process and the motion of “unit cells” can be used to formulate the evolution of the configurational distribution functions for these cells in form of the Fokker-Planck type differential equation.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00946245
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    Paper (German National Licenses)
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  • 6
    Electronic Resource
    Electronic Resource
    Probabilistic mechanics of fibrous structures (1984)
    Springer
    Zeitschrift für angewandte Mathematik und Physik 35 (1984), S. 497-513 
    Details
    ISSN: 1420-9039
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Description / Table of Contents: Zusammenfassung Das Verhalten einer Faserstruktur die einer axialen Belastung unterworfen ist, wird auf Grund der stochastischen Mechanik untersucht. Zur Veranschaulichung der theoretischen Behandlung wird eine zellulose Struktur mit spezifischen Eigenschaften benutzt. Die wichtigsten Relationen welche die mikroskopischen, dazwischen liegenden (mesoskopischen) und letzthin die makroskopischen Variablen verbindet, sind die Material-Operatoren. Es wird eine explizite Form eines solchen Operators für die zellulose Struktur abgeleitet. Die innere Spannungsverteilung, die wesentlich von der durchschnittlichen makroskopischen abweicht, wird sodann als ein Ergebnis der Untersuchung angezeigt.
    Notes: Abstract In this paper the response behaviour of fibrous structures to a given uniaxial load is treated on the basis of probabilistic mechanics. For the illustration of the theoretical analysis, a cellulose network with specified properties is employed. The significant relations, which link the microscopic variables to the intermediate ones (mesoscopic) and thus to the macroscopic quantities are material functionals or operators. An operator for the given cellulose structure is derived in an explicit form. As a result of the analysis the internal stresses due to the given load are numerically evaluated.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00945071
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  • 7
    Electronic Resource
    Electronic Resource
    Stochastic analysis of the fracture of solids with microcracks (1995)
    Springer
    Zeitschrift für angewandte Mathematik und Physik 46 (1995), S. 507-523 
    Details
    ISSN: 1420-9039
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract The present study is concerned with the stochastic formulation of the failure of solids with microcracks. The analysis is directed towards the development of microcracks in a given material structure due to the application of an external constant load. The formulation is based on the theory of stochastic population processes and that of point processes. The consideration of certain aspects of the “extreme value” theory is however necessary in characterizing the evolution of the microcrack population. It is shown to be convenient to first consider a collection of microcracks in a specific material domain (microdomain) which is regarded as a “family of objects” and represented by its state so that: {z1, z2 ..., z n }=z ⊂ Z ⊂ $$\mathfrak{X}$$ , where Z is the state space and $$\mathfrak{X}$$ a general probabilistic function space. Governing equations for the development of microcracks are derived and the results of the analysis are then compared with experimental observations obtained from short-time creep tests on a class of high temperature materials.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00917441
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  • 8
    Electronic Resource
    Electronic Resource
    Stochastic models of relaxation phenomena (1971)
    Springer
    Rheologica acta 10 (1971), S. 330-335 
    Details
    ISSN: 1435-1528
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Physics
    Description / Table of Contents: Zusammenfassung In der vorliegenden Arbeit werden einfache stochastische Modelle beschrieben. Es wird gezeigt, daß solche Modelle ebenso wie die einfachen Anordnungen von Federn und Dämpfern zur Veranschaulichung des linearen viskoelastischen Verhaltens eines Materials benutzt werden können. Im Gegensatz zu den letzteren sind jedoch die stochastischen Modelle mit der Materialstruktur mittels einer Materialfunktion verbunden. Diese wird in einer äußerst vereinfachten Form dargestellt. Kriech- und Relaxations-Funktionen werden mittels dieser Modelle vorerst für die eingeführten mikroskopischen Variablen abgeleitet und dann mittels Einführung des Begriffes einer „mesoskopischen“ Region im. Material wird der Übergang zur makroskopischen Theorie vollzogen.
    Notes: Summary The present work is concerned with simple stochastic models for the representation of the linear viscoelastic material behaviour. It is shown that such models can be employed in the same manner as the usual mechanical models. However in contrast to the mechanical models, the stochastic models are related to the microstructure of the medium by means of a material functional. In the present work the latter is shown only in a very reduced form. Creep and relaxation functions of such materials are considered first in terms of microscopic quantities, which are random variables. By introducing the concept of a mesoscopic domain within the material sample the transition from the microscopic to the macroscopic or phenomenological representation can be achieved.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01993707
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  • 9
    Electronic Resource
    Electronic Resource
    Application of the laser-beam technique in thermal-shock testing (1969)
    Springer
    Experimental mechanics 9 (1969), S. 507-512 
    Details
    ISSN: 1741-2765
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The present work is concerned with the application of the laser-beam technique for the thermal-shock testing of metal disks. For the generation of an instantaneous heat source, a solid-state laser is employed. The theoretical analysis of the thermal-shock problem is presented elsewhere. The present work deals with the results obtained from experimental observations and a comparison with the theoretically predicted results is made.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02319694
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    Paper (German National Licenses)
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