A thermodynamic framework for non-isothermal phenomenological models of isotropic Mullins effect
Datum vydání
2023Publikováno v
Proceedings of the Royal Society A: Mathematical, Physical and Engineering SciencesRočník / Číslo vydání
479 (2272)ISBN / ISSN
ISSN: 1364-5021Metadata
Zobrazit celý záznamKolekce
Tato publikace má vydavatelskou verzi s DOI 10.1098/rspa.2022.0614
Abstrakt
The Mullins effect is a common name for a family of intriguing inelastic responses of various solid materials, in particular filled rubbers. Given the importance of the Mullins effect, there have been many attempts to develop mathematical models describing the effect. However, most of the available models focus exclusively on the mechanical response and are restricted to the idealized isothermal setting. We lift the restriction to isothermal processes, and we propose a full thermodynamic framework for a class of phenomenological models of the Mullins effect. In particular, we identify energy storage mechanisms (Helmholtz free energy) and entropy production mechanisms that on the level of stress-strain relation lead to the idealized Mullins effect or to the Mullins effect with permanent strain. The models constructed within the proposed framework can be used in the modelling of fully coupled thermo-mechanical processes, and the models are guaranteed to be consistent with the laws of thermodynamics.
Klíčová slova
solid mechanics, inelastic response, Mullins effect, thermodynamics,
Trvalý odkaz
https://hdl.handle.net/20.500.14178/2295Licence
Licence pro užití plného textu výsledku: Creative Commons Uveďte původ 4.0 International