Computing and Visualization in Science

, Volume 6, Issue 1, pp 23–35 | Cite as

Comparison of models for finite plasticity: A numerical study

  • Patrizio Neff
  • Christian Wieners
Regular article


We introduce a general framework for the numerical approximation of finite multiplicative plasticity. The method is based on a fully implicit discretization in time which results in an iteratively evaluated stress response; the arising nonlinear problem is then solved by a Newton method where the linear subproblems are solved with a parallel multigrid method. The procedure is applied to models with different elastic free energy functionals and a plastic flow rule of von Mises type. In addition these models are compared to a recently derived frame indifferent approximation of finite multiplicative plasticity valid for small elastic strains which leads to linear balance equations. Rate independent and rate dependent realizations of the former models are considered. We demonstrate by various 3D simulations that the choice of the elastic free energy is not essential (for material parameters representative for metals) and that the new model gives the same response quantitatively and qualitatively as the standard models.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Patrizio Neff
    • 1
  • Christian Wieners
    • 2
  1. 1.TU Darmstadt, Fachbereich Mathematik, Schlossgartenstr. 7, 64289 Darmstadt, Germany (e-mail:
  2. 2.Universität Erlangen-Nürnberg, Institut für Angewandte Mathematik, Martensstr. 3, 91058 Erlangen, Germany (e-mail:

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