On the thermodynamic consistency of Quasi-linear viscoelastic models for soft solids
Berjamin, Harold Destrade, Michel Parnell, William J.
Berjamin, Harold
Destrade, Michel
Parnell, William J.
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Publication Date
2020-12-15
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Article
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Berjamin, Harold, Destrade, Michel, & Parnell, William J. (2021). On the thermodynamic consistency of Quasi-linear viscoelastic models for soft solids. Mechanics Research Communications, 111, 103648. doi: https://doi.org/10.1016/j.mechrescom.2020.103648
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.
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Elsevier
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CC BY-NC-ND 3.0 IE