Orlicz空间中具有增长条件模型的热粘弹性
Thermo-visco-elaticity for models with growth conditions in Orlicz spaces
摘要：
本文研究了热粘弹性模型的准静态演化。我们在外力作用下对非均质物质体进行作用，这是我们研究的一个课题。这样的动作可能导致该主体变形并且可能改变其温度。模型的力学部分包含两种变形：弹性变形和粘弹性变形。机械变形与温度是耦合的，它们可能相互影响。由于粘弹性变形演化的本构函数依赖于温度，材料的粘弹性性质也依赖于温度。在广义Orlicz空间中考虑了与硬化规则有关的增长条件的代数完全模型。我们证明了这类模型解的存在性。
英文摘要：
We study a quasi-static evolution of thermo-visco-elastic model. We act with external forces on non-homogeneous material body, which is a subject of our research. Such action may cause deformation of this body and may change its temperature. Mechanical part of the model contains two kinds of deformation: elastic and visco-elastic. Mechanical deformation is coupled with the temperature and they may influence each other. Since constitutive function on evolution of visco-elastic deformation depends on temperature, the visco-elastic properties of material also depend on temperature. We consider the thermodynamically complete model related to hardening rule with growth condition in generalized Orlicz spaces. We provide the proof of existence of solutions for such class of models.
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