Numerical algorithms for solving the elasto-plastic problem with mixed hardening
Keywords:small strain elasto-plastic model mixed hardening, rate type constitutive models, Radial Return Algorithm, finite element method, numerical application
The paper deals with elasto-plastic models for mixed hardening material, described by rate-type constitutive equations. In the first part of the paper update algorithms for solving rate type elastic-plastic models with mixed hardening mixed for small deformations have been emphasized, based on the radial return mapping algorithms proposed by Simo and Hughes . We exemplify the elastic prediction and plastic corrector steps of the algorithms as well as the calculus of the appropriate algorithmic tangent moduli. We emphasize the role played by the algorithmic tangent moduli in solving the quasi-static, initial and boundary value problem, based on the methodology proposed and developed in the paper by Cleja-Tigoiu and Stoicuta
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