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Contributions to Books:

E. Davoli, T. Roubicek, U. Stefanelli:
"A note about hardening-free viscoelastic models in Maxwellian-type rheologies at large strains";
in: "ASC Report 41/2020", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2020, ISBN: 978-3-902627-13-1, 1 - 18.



English abstract:
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 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. Existence of weak solutions is proved via a Faedo-Galerkin approximation.

Keywords:
creep at large strains, spurious hardening, gradient of the elastic strain, weak solutions.


Electronic version of the publication:
http://www.asc.tuwien.ac.at/preprint/2020/asc41x2020.pdf


Created from the Publication Database of the Vienna University of Technology.