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A note about hardening-free viscoelastic models in Maxwellian-type rheologies at large strains
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SYSNO ASEP 0548817 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title A note about hardening-free viscoelastic models in Maxwellian-type rheologies at large strains Author(s) Davoli, E. (AT)
Roubíček, Tomáš (UT-L) RID, ORCID
Stefanelli, U. (AT)Number of authors 3 Source Title Mathematics and Mechanics of Solids. - : Sage - ISSN 1081-2865
Roč. 26, č. 10 (2021), s. 1483-1497Number of pages 14 s. Publication form Print - P Language eng - English Country GB - United Kingdom Keywords creep at large strains ; spurious hardening ; gradient of the elastic strain ; weak solutions Subject RIV BA - General Mathematics OECD category Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8) R&D Projects GA19-04956S GA ČR - Czech Science Foundation (CSF) EF15_003/0000493 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) Method of publishing Limited access Institutional support UT-L - RVO:61388998 UT WOS 000681476700001 EID SCOPUS 85101083083 DOI 10.1177/1081286521990418 Annotation Maxwellian-type rheological models of inelastic effects of creep type at large strains are revisited in relation to inelastic strain gradient theories. In particular, we observe that a dependence of the stored energy density on inelastic strain gradients may lead to spurious hardening effects, preventing the model from accommodating large inelastic slips. The main result of this paper is an alternative inelastic model of creep type, where a higher-order energy contribution is provided by the gradients of the elastic strain and of the plastic strain rate, thus preventing the onset of spurious hardening under large slips. The combination of Kelvin–Voigt damping and Maxwellian creep results in a Jeffreys-type rheological model. The existence of weak solutions is proved by way of a Faedo–Galerkin approximation. Workplace Institute of Thermomechanics Contact Marie Kajprová, kajprova@it.cas.cz, Tel.: 266 053 154 ; Jana Lahovská, jaja@it.cas.cz, Tel.: 266 053 823 Year of Publishing 2022 Electronic address https://journals.sagepub.com/doi/10.1177/1081286521990418
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