Volume 33, October 2011CANUM 2010, 40e Congrès National d'Analyse Numérique
|Page(s)||50 - 67|
|Published online||22 December 2011|
Dynamics of shock waves in elastic-plastic solids
1 Aix-Marseille University & C.N.R.S. U.M.R. 6595, IUSTI, Project SMASH, 5 rue E. Fermi, 13453 Marseille Cedex 13, France ,
2 Corresponding author, Aix-Marseille University & C.N.R.S. U.M.R. 6595, IUSTI, Project SMASH, 5 rue E. Fermi, 13453 Marseille Cedex 13, France
The Maxwell type elastic-plastic solids are characterized by decaying the absolute values of the principal components of the deviatoric part of the stress tensor during the plastic relaxation step. We propose a mathematical formulation of such a model which is compatible with the von Mises criterion of plasticity. Numerical examples show the ability of the model to deal with complex physical phenomena.
Mathematics Subject Classification: 74C15 / 74B20 / 65C20 / 65N12 / 65N08
Key words: elastic-plastic solids / large deformations / Godunov type methods
© EDP Sciences, SMAI 2011
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