Relaxation of a class of variational models in crystal plasticity

Conti, Sergio and Dolzmann, Georg and Klust, Carolin (2009) Relaxation of a class of variational models in crystal plasticity. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 465 (2106). pp. 1735-1742. ISSN 1364-5021,

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Abstract

We investigated the effect of spontaneous formation of microstructures on the macroscopic material behaviour in a class of models in finite single-crystal plasticity without hardening. In particular, we show that, even in the presence of a single active slip system, the formation of slip bands leads to a very soft behaviour of the sample in response to a large class of applied loads. This contrasts with results obtained under the assumption of rigid elasticity.

Item Type: Article
Uncontrolled Keywords: DISLOCATION-STRUCTURES; ENERGY MINIMIZATION; FINITE STRAINS; MICROSTRUCTURES; DEFORMATION; single-crystal plasticity; relaxation; microstructure
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics > Prof. Dr. Georg Dolzmann
Depositing User: Dr. Gernot Deinzer
Date Deposited: 14 Sep 2020 07:26
Last Modified: 14 Sep 2020 07:26
URI: https://pred.uni-regensburg.de/id/eprint/28826

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