Domain partitioning as a result of deformation in the framework of large-strain Cosserat plasticity

2012/08/16 by Thomas Blesgen, Blesgen, Thomas
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1208.3331

16 pages, 2 figures

arxiv created 2012/08/16 · arxiv updated 2012/08/17

Abstract

In the framework of the rate-independent large-strain Cosserat theory of plasticity we calculate analytically explicit solutions of a two-dimensional shear problem. We discuss two cases where the micro-rotations are stationary solutions of an Allen-Cahn equation. Thus, for a certain parameter range, patterning arises and the domain is partitioned into subsets with approximate constant rotations. This describes a possible mechanism for the formation of grains and subgrains in deformed solids.

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