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A thermodynamic basis for implicit rate-type constitutive relations describing the inelastic response of solids undergoing finite deformation
Type of publication: Article
Citation:
Publication status: Published
Journal: Mathematics and Mechanics of Solids
Volume: 25
Number: 12
Year: 2020
Pages: 2222-2230
DOI: 10.1177/1081286520932205
Abstract: Implicit rate-type constitutive relations utilising discontinuous functions provide a novel approach to the purely phenomenological description of the inelastic response of solids undergoing finite deformation. However, this type of constitutive relation has so far been considered only in the purely mechanical setting, and the complete thermodynamic basis is largely missing. We address this issue, and we develop a thermodynamic basis for such constitutive relations. In particular, we focus on the thermodynamic basis for the classical elastic–perfectly plastic response, but the framework is flexible enough to describe other types of inelastic response as well.
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Keywords: implicit constitutive relations, solids, thermodynamics
Authors Cichra, David
Průša, Vít
Added by: [VP]
Total mark: 0
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