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

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