Approximate plastic yield criterion and hardening of porous single crystals

Abstract eng:
This study is devoted to the description of the plastic behaviour of porous single crystals in the context of rate-independent dislocation mediated plasticity. Such heterogeneous materials belong to the class of two-phase nonlinear composites with anisotropic local constitutive law. By making use of a regularized form of the Schmid law, an approximate plastic yield criterion is proposed in the context of limit-analysis. It has been assessed by comparison with unit-cell computations results. The model is then extended to hardenable crystals by performing a limit-analysis on a plastically deformed crystalline hollow sphere. The plastic strain field, and thus the local resistance of the material (i.e plastic yield surface), is assumed fixed. Comparisons are shown for the overall behaviour and porosity evolution with finite element unit-cell computations, from the literature, for body-centred cubic single crystals.

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