Abstract We consider a rate-type constitutitve law given by an implicit nonlinear differential equation in the space of second order symmetric tensors on R d , in which the unknowns are the stress and the linearized strain fields. We list the assumptions on the constitutive functions then we state and prove its well-posedness with respect to two different Tykhonov triples. We use these well-posedness properties in order to deduce two convergence results. Finally, we provide the mechanical interpretation of these results as well as some concluding remarks.

中文翻译：

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速率型粘塑性本构律的 Tykhonov 适定性

摘要 我们在R d 上的二阶对称张量空间中考虑由隐式非线性微分方程给出的速率型本构律，其中未知量是应力和线性化应变场。我们列出了对本构函数的假设，然后我们陈述并证明了它关于两个不同的 Tykhonov 三元组的适定性。我们使用这些适定性质来推导出两个收敛结果。最后，我们提供了对这些结果的机械解释以及一些总结性评论。