论文标题
关于软固体的准线性粘弹性模型的热力学一致性
On the thermodynamic consistency of Quasi-Linear Viscoelastic models for soft solids
论文作者
论文摘要
Fung的准线性粘弹性模型（QLV）起源于生物力学领域，是用于计算软固体中应力与变形之间时间依赖性关系的最流行的本构理论之一。它是基于时间域积分公式的最简单的非线性粘弹性模型之一。在本研究中，我们考虑了包含单个标量松弛函数的QLV模型。我们提供状态的自然内部变量，以及自由能的一致表达，以说明此版本的QLV模型的热力学一致性。热力学配方突出了Holzapfel和Simo引入的QLV和内部变量模型之间的惊人相似之处。最后，以简单的张力说明了可压缩QLV材料的耗散特征。
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.
