A constitutive relation is proposed for viscoelastic bodies that is a generalization of the classic Kelvin–Voigt model, wherein the left Cauchy–Green tensor, the symmetric part of the velocity gradient, and the Cauchy stress tensor are implicitly related. The model developed includes several models that are being used in the literature to describe the elastic and viscoelastic response of bodies. In this paper, we study special homogeneous deformations of a slab within the context of the implicit viscoelastic model.

中文翻译：

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用于描述粘弹性体响应的隐式本构关系

提出了一种对粘弹性体的本构关系，该关系是经典Kelvin-Voigt模型的推广，其中左Cauchy-Green张量，速度梯度的对称部分和Cauchy应力张量是隐含的。开发的模型包括文献中用于描述物体的弹性和粘弹性响应的几种模型。在本文中，我们在隐式粘弹性模型的背景下研究平板的特殊均质变形。