Geodesic
A visco-elasto-plastic evolution model with regularized fracture
Jakabčin, Lukáš 1
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 Cet article a éte moissonné depuis la source Numdam

Voir la notice de l'article

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
Keywords: 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 
@article{COCV_2016__22_1_148_0,
     author = {Jakab\v{c}in, Luk\'a\v{s}},
     title = {A visco-elasto-plastic evolution model with regularized fracture},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {148--168},
     year = {2016},
     publisher = {EDP-Sciences},
     volume = {22},
     number = {1},
     doi = {10.1051/cocv/2015005},
     zbl = {1337.49017},
     mrnumber = {3489380},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv/2015005/}
}
TY  - JOUR
AU  - Jakabčin, Lukáš
TI  - A visco-elasto-plastic evolution model with regularized fracture
JO  - ESAIM: Control, Optimisation and Calculus of Variations
PY  - 2016
SP  - 148
EP  - 168
VL  - 22
IS  - 1
PB  - EDP-Sciences
UR  - http://geodesic.mathdoc.fr/articles/10.1051/cocv/2015005/
DO  - 10.1051/cocv/2015005
LA  - en
ID  - COCV_2016__22_1_148_0
ER  - 
%0 Journal Article
%A Jakabčin, Lukáš
%T A visco-elasto-plastic evolution model with regularized fracture
%J ESAIM: Control, Optimisation and Calculus of Variations
%D 2016
%P 148-168
%V 22
%N 1
%I EDP-Sciences
%U http://geodesic.mathdoc.fr/articles/10.1051/cocv/2015005/
%R 10.1051/cocv/2015005
%G en
%F COCV_2016__22_1_148_0
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

Cité par Sources :