On the thermodynamic consistency of Quasi-linear viscoelastic models for soft solids
On the thermodynamic consistency of Quasi-linear viscoelastic models for soft solids
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DOI：
10.1016/j.mechrescom.2020.103648
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发表时间：
2021-01-01
影响因子：
2.4
通讯作者：
Parnell, William J.
中科院分区：
文献类型：
--
作者：
Berjamin, Harold;Destrade, Michel;Parnell, William J.
起源于生物力学领域，Fung的准线性粘弹性模型（QLV）是用于计算软固体中应力和变形之间的时间依赖关系的最流行的本构理论之一。它是基于时域积分公式的非线性粘弹性的最简单的模型之一。在目前的研究中，我们考虑的QLV模型纳入一个单一的标量弛豫函数。我们提供了自然的内部变量的状态，以及一个一致的表达的自由能来说明这个版本的QLV模型的热力学一致性。热力学公式突出了QLV和Holzapfel和Simo引入的内部变量模型之间惊人的相似性。最后，在简单拉伸条件下说明了可压缩QLV材料的耗散特性。(c)2020作者（S）由Elsevier Ltd.发布。这是CC BY许可下的开放获取文章（http://creativecommons.org/licenses/by/4.0/）
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 internalvariable models introduced by Holzapfel and Simo. Finally, the dissipative features of compressible QLV materials are illustrated in simple tension. (c) 2020 The Author(s). Published by Elsevier Ltd. This is an open access article under the CC BY license ( http://creativecommons.org/licenses/by/4.0/ )