Geodesic
A rate-independent gradient system in damage coupled with plasticity via structured strains
Elena Bonetti1 ; Elisabetta Rocca2 ; Riccarda Rossi3 ; Marita Thomas4
1 Dipartimento di Matematica, Università degli Studi di Milano, Via Saldini 50, I-20133 Milano, Italy
2 Dipartimento di Matematica, Università degli Studi di Pavia, Via Ferrata 1, I-27100, Pavia, Italy
3 DIMI, Università di Brescia, Via Branze 38, I-25100 Brescia, Italy
4 Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstr. 39, D-10117 Berlin, Germany
ESAIM. Proceedings, Tome 54 (2016), pp. 54-69.

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This contribution deals with a class of models combining isotropic damage with plasticity. It has been inspired by a work by Freddi and Royer-Carfagni [FRC10], including the case where the inelastic part of the strain only evolves in regions where the material is damaged. The evolution both of the damage and of the plastic variable is assumed to be rate-independent. Existence of solutions is established in the abstract energetic framework elaborated by Mielke and coworkers (cf., e.g., [Mie05, Mie11b]).
DOI : 10.1051/proc/201654054

Elena Bonetti 1 ; Elisabetta Rocca 2 ; Riccarda Rossi 3 ; Marita Thomas 4

1 Dipartimento di Matematica, Università degli Studi di Milano, Via Saldini 50, I-20133 Milano, Italy
2 Dipartimento di Matematica, Università degli Studi di Pavia, Via Ferrata 1, I-27100, Pavia, Italy
3 DIMI, Università di Brescia, Via Branze 38, I-25100 Brescia, Italy
4 Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstr. 39, D-10117 Berlin, Germany 
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     title = {A rate-independent gradient system in damage coupled with plasticity via structured strains},
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Elena Bonetti; Elisabetta Rocca; Riccarda Rossi; Marita Thomas. A rate-independent gradient system in damage coupled with plasticity via structured strains. ESAIM. Proceedings, Tome 54 (2016), pp. 54-69. doi : 10.1051/proc/201654054. http://geodesic.mathdoc.fr/articles/10.1051/proc/201654054/

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