Norton-Hoff型模型的热粘弹性
Thermo-visco-elasticity for Norton-Hoff-type models
摘要：
我们的研究是针对准静态演化的热粘弹性模型。我们假设材料受到两种机械变形：弹性和非弹性。此外，我们的分析捕捉到温度对身体的粘弹性的影响。本文的新颖之处在于考虑了用几何完全模型来描述这类与Norton-Hoff型硬化规则有关的现象。在忽略热膨胀效应的简化条件下，证明了热粘弹性模型解的存在性。因此，温度和位移之间的耦合只发生在粘弹性应变演化的本构函数中。
英文摘要：
Our research is directed to a quasi-static evolution of the thermo-visco-elastic model. We assume that the material is subject to two kinds of mechanical deformations: elastic and inelastic. Moreover, our analysis captures the influence of the temperature on the visco-elastic properties of the body. The novelty of the paper is the consideration of the thermodynamically complete model to describe this kind of phenomena related with a hardening rule of Norton-Hoff type. We provide the proof of existence of solutions to thermo-visco-elastic model in a simplified setting, namely the thermal expansion effects are neglected. Consequently, the coupling between the temperature and the displacement occurs only in the constitutive function for the evolution of the visco-elastic strain.
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