Error indicators and mesh refinements for finite-element-computations of elastoplastic deformations
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Many interesting tasks in technology need the solution of complex boundary value problems within the mathematical theory of elastoplasticity. Error controlled adaptive strategies should be used in order to achieve a prescribed accuracy of the computed solutions at minimum cost. Local error indicators in the primal form of the finite-element-method for Hencky- and Prandtl–Reußplasticity without and with nonlinear hardening are presented, controlling global errors of equilibrium, plastic strain rates, the yield condition and the numerical integration of the flow rule. A 2D finite element code was extended for the transfer of physical parameters between meshes and for a combined space and time adaptive strategy. All error indicators are tested with the benchmark example of a rectangular plane strain problem with a hole.
KeywordsLocal Error Adaptive Strategy Mesh Refinement Global Error Flow Rule
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