no. 1
A visco-elasto-plastic evolution model with regularized fracture
Jakabčin, Lukáš1
1 Laboratoire Jean Kuntzmann, 51 rue des Mathématiques, Campus de Saint Martin d’Hères, BP 53, 38041 Grenoble cedex 09, France
ESAIM: Control, Optimisation and Calculus of Variations, Tome 22 (2016) no. 1, pp. 148-168.

We study a model for visco-elasto-plastic deformation with fracture, in which fracture is approximated via a diffuse interface model. We show that a discretized (in time) quasistatic evolution, converges to a solution of the continuous (in time) evolution, proving existence of a solution to our model.

Reçu le :
DOI : 10.1051/cocv/2015005
Classification : 49J40, 49J45, 74C10, 74R20
Mots clés : Plasticity, regularized fracture, viscous dissipation
Jakabčin, Lukáš 1

1 Laboratoire Jean Kuntzmann, 51 rue des Mathématiques, Campus de Saint Martin d’Hères, BP 53, 38041 Grenoble cedex 09, France 
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Jakabčin, Lukáš. A visco-elasto-plastic evolution model with regularized fracture. ESAIM: Control, Optimisation and Calculus of Variations, Tome 22 (2016) no. 1, pp. 148-168. doi : 10.1051/cocv/2015005. http://www.numdam.org/articles/10.1051/cocv/2015005/

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