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

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]).

Keywords

Rate-independent systems, tensorial damage model, anisotropic damage, plasticity, structured strain, energetic solutions, existence results

URI

https://doi.org/10.34657/1893
https://oa.tib.eu/renate/handle/123456789/3487

Citation

Bonetti, E., Rocca, E., Rossi, R., & Thomas, M. (2015). A rate-independent gradient system in damage coupled with plasticity via structured strains (Vol. 2178). Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik.

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Mathematik

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