Separately Global Solutions to Rate-Independent Processes in Large-Strain Inelasticity

Autor:	Davoli, Elisa, Kružík, Martin, Pelech, Petr
Rok vydání:	2020
Předmět:	Mathematical Physics Mathematics - Analysis of PDEs 74R20
Druh dokumentu:	Working Paper
Popis:	In this paper, we introduce the notion of separately global solutions for large-strain rate-independent systems, and we provide an existence result for a model describing bulk damage. Our analysis covers non-convex energies blowing up for extreme compressions, yields solutions excluding interpenetration of matter, and allows to handle nonlinear couplings of the deformation and the internal variable featuring both Eulerian and Lagrangian terms. In particular, motivated by the theory developed in [49] in the small strain setting, and for separately convex energies we provide a solution concept suitable for large strain inelasticity. Comment: 32 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2008.02244 Zobrazit plný text záznamu View this record from Arxiv