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On rotation deformation zones for finite-strain Cosserat plasticity

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Abstract

In this article, a numerical solution method for the finite-strain rate-independent Cosserat theory of crystal plasticity is developed. Based on a time-incremental minimization problem of the mechanical energy, a limited-memory Broyden–Fletcher–Goldfarb quasi-Newton method applied to a finite-difference discretization is proposed. First benchmark tests study the convergence to an analytic solution. Further simulations focus on the investigation of rotation localization zones, the bending of a rod, and a torsion experiment.

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  1. Department of Mathematics, Bingen University of Applied Sciences, Berlinstraße 109, 55411, Bingen, Germany

    Thomas Blesgen

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Blesgen, T. On rotation deformation zones for finite-strain Cosserat plasticity. Acta Mech 226, 2421–2434 (2015). https://doi.org/10.1007/s00707-015-1326-2

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