On the formulation and numerical solution of problems in anisotropic finite plasticity

Abstract This article discusses an extension of the Green–Naghdi finite plasticity theory to explicitly include anisotropic effects in the stress response, yield condition, flow rule and hardening rule. Constitutive models are developed within the context of the extended theory and used in formulating implicit integration algorithms which inherit the characteristics of the classical return-mapping scheme of isotropic plasticity. Representative numerical simulations demonstrate the applicability and predictive capacity of the proposed model in the presence of large plastic deformations.

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