WIAS Preprint No. 2178, (2015)

A rate-independent gradient system in damage coupled with plasticity via structured strains


  • Thomas, Marita
  • Bonetti, Elena
  • Rocca, Elisabetta
  • Rossi, Riccarda

2010 Mathematics Subject Classification

  • 74C05 74E10 74R05 74R20 49S05 49J40 35K86


  • rate-independent systems, tensorial damage model, isotropic damage, plasticity, structured strain, energetic solutions, existence results




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, 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.

Appeared in

  • Gradient flows: from theory to application, B. Düring, C.-B. Schönlieb, M.-TH. Wolfram, eds., vol. 54 of ESAIM Proceedings and Surveys, EDP Sciences, 2016, pp. 54--69

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