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

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.

preprint2012arXivOpen access
Thomas Blesgen
math-phmath.MP
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Thomas Blesgen

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