Error estimates in elastoplasticity using a mixed method

• Autores: Andreas Schröder, Sebastian Wiedemann
• Localización: Applied numerical mathematics, ISSN-e 0168-9274, Vol. 61, Nº. 10, 2011, págs. 1031-1045
• Idioma: inglés
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• Resumen

  • In this paper, a mixed formulation and its discretization are introduced for elastoplasticity with linear kinematic hardening. The mixed formulation relies on the introduction of a Lagrange multiplier to resolve the non-differentiability of the plastic work function. The main focus is on the derivation of a priori and a posteriori error estimates based on general discretization spaces. The estimates are applied to several low-order finite elements. In particular, a posteriori estimates are expressed in terms of standard residual estimates. Numerical experiments are presented, confirming the applicability of the a posteriori estimates within an adaptive procedure.