<div class="csl-bib-body">
<div class="csl-entry">Davoli, E., Roubček, T., & Stefanelli, U. (2021). A note about hardening-free viscoelastic models in Maxwellian-type rheologies at large strains. <i>Mathematics and Mechanics of Solids</i>, <i>26</i>(10), 1483–1497. https://doi.org/10.1177/1081286521990418</div>
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dc.identifier.issn
1081-2865
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/137205
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dc.description.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.
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dc.relation.ispartof
Mathematics and Mechanics of Solids
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dc.subject
General Mathematics
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dc.subject
Mechanics of Materials
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dc.subject
General Materials Science
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dc.subject
creep at large strains
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dc.subject
spurious hardening
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dc.subject
gradient of the elastic strain
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dc.subject
weak solutions.
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dc.title
A note about hardening-free viscoelastic models in Maxwellian-type rheologies at large strains