Quasistatic viscoelasticity with self-contact at large strains

0536362 - ÚTIA 2021 RIV NL eng J - Článek v odborném periodiku
Krömer, Stefan - Roubíček, Tomáš
Quasistatic viscoelasticity with self-contact at large strains.
Journal of Elasticity. Roč. 142, č. 2 (2020), s. 433-445. ISSN 0374-3535. E-ISSN 1573-2681
Grant CEP: GA ČR(CZ) GF19-29646L; GA ČR GA17-04301S; GA ČR(CZ) GA19-04956S
Institucionální podpora: RVO:67985556 ; RVO:61388998
Klíčová slova: Kelvin-Voigt material * partial differential equations * frame indifference
Obor OECD: Applied mathematics; Mechanical engineering (UT-L)
Impakt faktor: 2.085, rok: 2020
Způsob publikování: Omezený přístup
http://library.utia.cas.cz/separaty/2020/MTR/kromer-0536362.pdf https://link.springer.com/article/10.1007/s10659-020-09801-9

The frame-indifferent viscoelasticity in Kelvin-Voigt rheology at large strains is formulated in the reference configuration (i.e., using the Lagrangian approach) considering also the possible self-contact in the actual deformed configuration. Using the concept of 2nd-grade nonsimple materials, existence of certain weak solutions which are a.e. injective is shown by converging an approximate solution obtained by the implicit time discretisation.
Trvalý link: http://hdl.handle.net/11104/0314248