Implicit rate-type constitutive relations utilising discontinuous functions provide a novel approach to the purely phenomenological description of the inelastic response of solids undergoing finite deformation. However, this type of constitutive relation has so far been considered only in the purely mechanical setting, and the complete thermodynamic basis is largely missing. We address this issue, and we develop a thermodynamic basis for such constitutive relations. In particular, we focus on the thermodynamic basis for the classical elastic–perfectly plastic response, but the framework is flexible enough to describe other types of inelastic response as well.

中文翻译：

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描述有限变形固体非弹性响应的隐式速率型本构关系的热力学基础

利用不连续函数的隐式速率型本构关系为经历有限变形的固体的非弹性响应的纯现象学描述提供了一种新方法。然而，到目前为止，这种类型的本构关系只在纯机械环境中被考虑过，并且在很大程度上缺少完整的热力学基础。我们解决了这个问题，并为这种本构关系开发了热力学基础。特别是，我们关注经典弹性-完美塑性响应的热力学基础，但该框架足够灵活，也可以描述其他类型的非弹性响应。