We show the existence of globally stable quasistatic evolutions for a rate-independent material model with elastoplasticity and incomplete damage, in small strain assumptions. The main feature of our model is that the scalar internal variable which describes the damage affects both the elastic tensor and the plastic yield surface. It is also possible to require that the history of plastic strain up to the current state influences the future evolution of damage.

DOI: 10.1051/cocv/2015037

Keywords: Variational models, quasistatic evolution, energetic solutions, elastoplasticity, damage models, incomplete damage, softening

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@article{COCV_2016__22_3_883_0, author = {Crismale, Vito}, title = {Globally stable quasistatic evolution for a coupled elastoplastic{\textendash}damage model}, journal = {ESAIM: Control, Optimisation and Calculus of Variations}, pages = {883--912}, publisher = {EDP-Sciences}, volume = {22}, number = {3}, year = {2016}, doi = {10.1051/cocv/2015037}, zbl = {1342.74026}, language = {en}, url = {http://archive.numdam.org/articles/10.1051/cocv/2015037/} }

TY - JOUR AU - Crismale, Vito TI - Globally stable quasistatic evolution for a coupled elastoplastic–damage model JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2016 SP - 883 EP - 912 VL - 22 IS - 3 PB - EDP-Sciences UR - http://archive.numdam.org/articles/10.1051/cocv/2015037/ DO - 10.1051/cocv/2015037 LA - en ID - COCV_2016__22_3_883_0 ER -

%0 Journal Article %A Crismale, Vito %T Globally stable quasistatic evolution for a coupled elastoplastic–damage model %J ESAIM: Control, Optimisation and Calculus of Variations %D 2016 %P 883-912 %V 22 %N 3 %I EDP-Sciences %U http://archive.numdam.org/articles/10.1051/cocv/2015037/ %R 10.1051/cocv/2015037 %G en %F COCV_2016__22_3_883_0

Crismale, Vito. Globally stable quasistatic evolution for a coupled elastoplastic–damage model. ESAIM: Control, Optimisation and Calculus of Variations, Volume 22 (2016) no. 3, pp. 883-912. doi : 10.1051/cocv/2015037. http://archive.numdam.org/articles/10.1051/cocv/2015037/

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