Elastoplasticity of gradient-polyconvex materials

0544766 - ÚTIA 2022 RIV CH eng J - Článek v odborném periodiku
Kružík, Martin - Zeman, J.
Elastoplasticity of gradient-polyconvex materials.
Zeitschrift für angewandte Mathematik und Physik. Roč. 72, č. 1 (2021), č. článku 174. ISSN 0044-2275. E-ISSN 1420-9039
Grant CEP: GA ČR GF21-06569K; GA ČR GA18-03834S
Institucionální podpora: RVO:67985556
Klíčová slova: Elastoplasticity * Gradient polyconvexity * Rate=independent solutions
Obor OECD: Applied mathematics
Impakt faktor: 2.221, rok: 2021
Způsob publikování: Omezený přístup
http://library.utia.cas.cz/separaty/2021/MTR/kruzik-0544766.pdf https://link.springer.com/article/10.1007/s00033-021-01603-w

We propose a model for rate-independent evolution in elastoplastic materials under external loading, which allows large strains. In the setting of strain-gradient plasticity with multiplicative decomposition of the deformation gradient, we prove the existence of the so-called energetic solution. The stored energy density function is assumed to depend on gradients of minors of the deformation gradient which makes our results applicable to shape-memory materials, for instance.
Trvalý link: http://hdl.handle.net/11104/0321821