A thermodynamic framework for non-isothermal phenomenological models of isotropic Mullins effect
Publication date
2023Published in
Proceedings of the Royal Society A: Mathematical, Physical and Engineering SciencesVolume / Issue
479 (2272)ISBN / ISSN
ISSN: 1364-5021Metadata
Show full item recordCollections
This publication has a published version with DOI 10.1098/rspa.2022.0614
Abstract
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.
Keywords
solid mechanics, inelastic response, Mullins effect, thermodynamics,
Permanent link
https://hdl.handle.net/20.500.14178/2295License
Full text of this result is licensed under: Creative Commons Uveďte původ 4.0 International