A spectral constitutive equation for finite strain viscoelastic bodies with residual stresses is developed using spectral invariants, where each spectral invariant has a clear physical meaning. A prototype constitutive equation containing single-variable functions is presented; a function of a single invariant with a clear physical interpretation is easily manageable and is experimentally attractive. The effects of residual stress and viscosity are studied via the results of some boundary value problems, and some of these results are compared with experimental data.

中文翻译：

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具有残余应力的粘弹性固体的非线性速率相关谱本构方程

使用谱不变量开发了具有残余应力的有限应变粘弹性体的谱本构方程，其中每个谱不变量都有明确的物理意义。提出了一个包含单变量函数的原型本构方程；具有明确物理解释的单个不变量的函数易于管理并且在实验上具有吸引力。通过一些边值问题的结果研究了残余应力和粘度的影响，并将其中一些结果与实验数据进行了比较。