Abstract
AbstractThis contribution deals with a stress‐displacement mixed finite element formulation for elasto‐plasticity within the framework of small deformations based on the Prange‐Hellinger‐Reissner (PHR) functional. The interpolations for the displacements are given by standard Lagrangian shape functions and a 5‐parameter discontinuous interpolation is introduced for the stresses which was published by [1]. Based on the principle of maximum plastic dissipation the flow rule and hardening law will be derived by regarding a von Mises yield criterion, see [2]. In contrast to [3], we apply a point‐wise enforcement of the flow rule, hardening law and loading/unloading conditions. This work is related to the physically nonlinear mixed finite element based on the Prange‐Hellinger‐Reissner formulations for elasto‐plasticity, [4]. (© 2016 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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