Geodesic
Dynamics of shock waves in elastic-plastic solids
N. Favrie1 ; S. Gavrilyuk2
1Aix-Marseille University & C.N.R.S. U.M.R. 6595, IUSTI, Project SMASH, 5 rue E. Fermi, 13453 Marseille Cedex 13, France
2Corresponding author, Aix-Marseille University & C.N.R.S. U.M.R. 6595, IUSTI, Project SMASH, 5 rue E. Fermi, 13453 Marseille Cedex 13, France
ESAIM. Proceedings, Tome 33 (2011), pp. 50-67
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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.
DOI : 10.1051/proc/201133005

N. Favrie  1   ; S. Gavrilyuk  2

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 
@article{EP_2011_33_a5,
     author = {N. Favrie and S. Gavrilyuk},
     title = {Dynamics of shock waves in elastic-plastic solids},
     journal = {ESAIM. Proceedings},
     pages = {50--67},
     year = {2011},
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     doi = {10.1051/proc/201133005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201133005/}
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N. Favrie; S. Gavrilyuk. Dynamics of shock waves in elastic-plastic solids. ESAIM. Proceedings, Tome 33 (2011), pp. 50-67. doi: 10.1051/proc/201133005

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