TY  - JOUR
T1  - A thermodynamic basis for implicit rate-type constitutive relations describing the inelastic response of solids undergoing finite deformation
A1  - Cichra, David
A1  - Průša, Vít
JA  - Mathematics and Mechanics of Solids
Y1  - 2020
VL  - 25
IS  - 12
SP  - 2222
EP  - 2230
M2  - doi: 10.1177/1081286520932205
KW  - implicit constitutive relations
KW  - solids
KW  - thermodynamics
N2  - 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.
ER  -