On the thermodynamic consistency of Quasi-Linear Viscoelastic models for soft solids
Abstract
Originating in the field of biomechanics, Fung's model of quasi-linear viscoelasticity (QLV) is one of the most popular constitutive theories employed to compute the time-dependent relationship between stress and deformation in soft solids. It is one of the simplest models of nonlinear viscoelasticity, based on a time-domain integral formulation. In the present study, we consider the QLV model incorporating a single scalar relaxation function. We provide natural internal variables of state, as well as a consistent expression of the free energy to illustrate the thermodynamic consistency of this version of the QLV model. The thermodynamic formulation highlights striking similarities between QLV and the internal-variable models introduced by Holzapfel and Simo. Finally, the dissipative features of compressible QLV materials are illustrated in simple tension.
Keywords
Cite
@article{arxiv.2012.01811,
title = {On the thermodynamic consistency of Quasi-Linear Viscoelastic models for soft solids},
author = {Harold Berjamin and Michel Destrade and William J. Parnell},
journal= {arXiv preprint arXiv:2012.01811},
year = {2021}
}