A note about hardening-free viscoelastic models in Maxwellian-type rheologies at large strains

0548817 - ÚT 2022 RIV GB eng J - Journal Article
Davoli, E. - Roubíček, Tomáš - Stefanelli, U.
A note about hardening-free viscoelastic models in Maxwellian-type rheologies at large strains.
Mathematics and Mechanics of Solids. Roč. 26, č. 10 (2021), s. 1483-1497. ISSN 1081-2865. E-ISSN 1741-3028
R&D Projects: GA ČR(CZ) GA19-04956S; GA MŠMT(CZ) EF15_003/0000493
Institutional support: RVO:61388998
Keywords : creep at large strains * spurious hardening * gradient of the elastic strain * weak solutions
OECD category: Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Impact factor: 2.719, year: 2021
Method of publishing: Limited access
https://journals.sagepub.com/doi/10.1177/1081286521990418

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.
Permanent Link: http://hdl.handle.net/11104/0327481