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Homogenization of Layered Materials with Stiff Components

Christowiak, Fabian (2018) Homogenization of Layered Materials with Stiff Components. PhD, Universität Regensburg.

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Dissertation Fabian Christowiak
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Date of publication of this fulltext: 10 Sep 2018 08:53

Abstract (English)

In the context of homogenization of elastoplastic materials, we study the effects of a stiff component on the macroscopic behavior of a material of fine layered structure. To model these materials a variational approach is chosen in accordance to the assumptions of finite elasticity. In view of the macroscopic material response, the elasticity of the individual thin layer stands in contrast to ...

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Translation of the abstract (German)

Im Rahmen der Homogenisierung elastoplastischer Materialien untersuchen wir das makroskopische Verhalten von Schichtmaterialien mit steifen Komponenten. Für die Modellierung des Materials wählen wir einen variationellen Zugang, der mit den Annahmen finiter Elastizität verträglich ist. Im Hinblick auf das makroskopische Materialverhalten steht die leichte Verformbarkeit einzelner dünner ...

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Item type:Thesis of the University of Regensburg (PhD)
Date:10 September 2018
Referee:Dr. Carolin Kreisbeck and Prof. Dr. Georg Dolzmann
Date of exam:12 July 2018
Institutions:Mathematics > Prof. Dr. Georg Dolzmann
Projects:Deutsche Forschungsgemeinschaft, Forschergruppe 797 “Analysis and computation of microstructure in finite plasticity”, Project DO 633/2-1, Deutsche Forschungsgemeinschaft, Graduiertenkolleg 1692 “Curvature, Cycles, and Cohomology”
Classification:
NotationType
49J45MSC
74Q05MSC
74C15MSC
Keywords:geometric rigidity, homogenization, Gamma-convergence, composite materials, elastic theory, finite crystal plasticity
Dewey Decimal Classification:500 Science > 510 Mathematics
Status:Published
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Item ID:37697
Owner only: item control page

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