A model for elastic-viscoplastic deformations of crystalline solids based on material symmetry: theory and plane-strain simulations. (English) Zbl 1423.74168

Summary: A model for the elastic-viscoplastic response of metallic single crystals is developed on the basis of the modern finite-deformation theory of plasticity combined with considerations of material symmetry. This is proposed as an alternative to conventional crystal plasticity theory, based on a decomposition of the plastic deformation rate into a superposition of slips on active slip systems. A simple special case of the general theory, modeling evolving geometrically necessary dislocations and their effect on hardening, is developed and used as the basis of numerical experiments.


74C15 Large-strain, rate-independent theories of plasticity (including nonlinear plasticity)
74A05 Kinematics of deformation
74C10 Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity)
74E15 Crystalline structure


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