In this note, we study the response of a viscoelastic body whose stress relaxation modulus and creep compliance depend on the density of the body in such a manner that the stress and strain appear linearly in the constitutive equation. Such models would be useful to study the response of porous viscoelastic bodies undergoing small deformations, as the moduli depend on the porosity, and hence the density. We study the problem of tension–torsion of cylinders of arbitrary cross-section within the context of this constitutive relation.

中文翻译：

---

关于粘弹性体的说明，其材料属性取决于密度

在本文中，我们研究了粘弹性体的应力松弛模量和蠕变柔度取决于其密度，从而使应力和应变线性地出现在本构方程中。由于模量取决于孔隙率，因此取决于密度，因此这种模型对于研究经历小变形的多孔粘弹性体的响应将是有用的。在这种本构关系的背景下，我们研究了任意横截面的圆柱体的拉伸-扭转问题。