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Quasistatic viscoelasticity with self-contact at large strains
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SYSNO ASEP 0536362 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Quasistatic viscoelasticity with self-contact at large strains Author(s) Krömer, Stefan (UTIA-B) ORCID
Roubíček, Tomáš (UT-L) RID, ORCIDNumber of authors 2 Source Title Journal of Elasticity. - : Springer - ISSN 0374-3535
Roč. 142, č. 2 (2020), s. 433-445Number of pages 13 s. Publication form Print - P Language eng - English Country NL - Netherlands Keywords Kelvin-Voigt material ; partial differential equations ; frame indifference Subject RIV BA - General Mathematics OECD category Applied mathematics Subject RIV - cooperation Institute of Thermomechanics - General Mathematics R&D Projects GF19-29646L GA ČR - Czech Science Foundation (CSF) GA17-04301S GA ČR - Czech Science Foundation (CSF) GA19-04956S GA ČR - Czech Science Foundation (CSF) Method of publishing Limited access Institutional support UTIA-B - RVO:67985556 ; UT-L - RVO:61388998 UT WOS 000593070600001 EID SCOPUS 85096534057 DOI 10.1007/s10659-020-09801-9 Annotation 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. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2021 Electronic address https://link.springer.com/article/10.1007/s10659-020-09801-9
Number of the records: 1