0548247 20220321120636.420211118235959.9 85119183101 000721365700005 10.1016/j.na.2021.112668 37 s. cav_un_epca*02573310362-546X215Elsevier Rate-independent processes Large strain Inelasticity with internal variables cav_un_auth*0417358 Davoli E. AT 33 cav_un_auth*0101142 Kružík Martin UTIA-B Matematická teorie rozhodování Department of Decision Making Theory MTR MTR Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0374200 Pelech P. CZ http://library.utia.cas.cz/separaty/2021/MTR/kruzik-0548247.pdf https://www.sciencedirect.com/science/article/pii/S0362546X21002595?via%3Dihub GF19-29646L GA ČR CZ cav_un_auth*0385134 8J19AT013 GA MŠk CZ cav_un_auth*0385123 In this paper, we introduce the notion of separately global solutions for largestrain 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 Roubíček (2015) in the small strain setting, and for separately convex energies we provide a solution concept suitable for large strain inelasticity. WOS BA 10000 10100 10101 2022 3 RVO:67985556 http://hdl.handle.net/11104/0324434 1 S 112668 3+4 Article Mathematics Applied|Mathematics C MATHEMATICS.APPLIED|MATHEMATICS 1.6 0.3 13 0.01051 0.964 12214 1.347 1.400 194 Q1 66.8 Q1 Q1 1.12 Q1 78.6 2022 85119183101 SCOPUS PUBMED 000721365700005 WOS cav_un_epca*0257331 Nonlinear Analysis: Theory, Methods & Applications 0362-546X 1873-5215 Roč. 215 č. 1 2022 Elsevier