0538035 20240103225210.020210120235959.9 85086568732 000679831200003 10.1051/cocv/2020031 23 s. cav_un_epca*02578551292-811926EDP Sciences elastoplasticity quasistatic evolution cav_un_auth*0101142 Kružík Martin UTIA-B Matematická teorie rozhodování Department of Decision Making Theory MTR MTR 33 Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0403146 Melching D. AT 33 cav_un_auth*0080082 Stefanelli U. IT 34 http://library.utia.cas.cz/separaty/2021/MTR/kruzik-0538035.pdf https://www.esaim-cocv.org/articles/cocv/abs/2020/01/cocv190159/cocv190159.html 8J19AT013 GA MŠk CZ cav_un_auth*0385123 GF19-29646L GA ČR CZ cav_un_auth*0385134 We investigate quasistatic evolution in finite plasticity under the assumption that the plastic strain is compatible. This assumption is well-suited to describe the special case of dislocation-free plasticity and entails that the plastic strain is the gradient of a plastic deformation map. The total deformation can be then seen as the composition of a plastic and an elastic deformation. This opens the way to an existence theory for the quasistatic evolution problem featuring both Lagrangian and Eulerian variables. A remarkable trait of the result is that it does not require second-order gradients 2022 BA WOS 10000 10100 10101 3 RVO:67985556 http://hdl.handle.net/11104/0316074 1 S 123 2 Article Automation Control Systems|Mathematics Applied A AUTOMATION&CONTROLSYSTEMS|MATHEMATICS.APPLIED 1.594 0.574 8.6 0.00431 1.226 1738 69 1.017 33.62 1.33 316 Q1 1.569 115 Q2 82.425 44.6 Q1 Q2 0.58 Q3 59.811 2020 85086568732 SCOPUS PUBMED 000679831200003 WOS cav_un_epca*0257855 ESAIM-Control Optimisation and Calculus of Variations 1292-8119 1262-3377 Roč. 26 č. 1 2020 EDP Sciences