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Analytical aspects of relaxation for single-slip models in finite crystal plasticity

URN to cite this document: urn:nbn:de:bvb:355-epub-160116

Kreisbeck, Carolin (2010) Analytical aspects of relaxation for single-slip models in finite crystal plasticity. PhD, Universität Regensburg

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Abstract (English)

Modern mathematical approaches to plasticity lead to non-convex minimization problems for which the standard methods of the calculus of variations are not applicable. In this thesis we consider geometrically nonlinear crystal elastoplasticity in two dimensions with one active slip system. In order to derive information about macroscopic material behavior the relaxation of the single incremental ...

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Translation of the abstract (German)

Moderne mathematische Zugänge zu elasto-plastischem Materialverhalten führen über einen zeitdiskreten Energieansatz zu nicht-konvexen Variationsproblemen, die sich den Standardmethoden der Variationsrechnung entziehen. Diese Arbeit beschäftigt sich mit geometrisch nicht-linearer Kristallplastizität und hierbei speziell mit 2D Modellen mit einem aktiven Gleitsystem. Um Informationen über das ...

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Item Type:Thesis of the University of Regensburg (PhD)
Date:4 August 2010
Referee:Prof. Dr. Georg Dolzmann and Prof. Dr. Sergio Conti
Date of exam:21 July 2010
Institutions:Mathematics > Prof. Dr. Georg Dolzmann
Research groups and research centres:Not selected
Keywords:single-crystal plasticity, relaxation, microstructure, Gamma-convergence
Subjects:500 Science > 510 Mathematics
Status:Published
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Owner: Universitätsbibliothek Regensburg
Deposited On:04 Aug 2010 13:11
Last Modified:13 Mar 2014 13:55
Item ID:16011
Owner Only: item control page

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