Title: A few remarks on thermomechanics Show Chinese title

Title: 关于热力学的一些备注

Abstract: We develop a global setting for modeling thermo-visco-elastic materials that satisfy the principles of thermodynamics and are properly invariant. This setting encompasses many known solid and fluid models, as well as new models with internal variables that generalize the Maxwell rheological model. Complex fluid models such as the Oldroyd B model are shown to belong to the above general family of models. The specific Oldroyd B model is however found to be seriously lacking in terms of satisfying the second principle of thermodynamics. On the contrary, a second complex fluid model based on the Zaremba-Jaumann derivative is shown to satisfy the second principle of thermodynamics. Show Chinese abstract

Abstract: 我们为建模满足热力学原理且具有适当不变性的热粘弹性材料开发了一个全局设置。 这个设置涵盖了许多已知的固体和流体模型，以及具有内部变量的新模型，这些模型推广了Maxwell粘弹性模型。 如Oldroyd B模型这样的复杂流体模型被证明属于上述一般模型族。 然而，特定的Oldroyd B模型在满足热力学第二定律方面被发现存在严重不足。 相反，基于Zaremba-Jaumann导数的第二个复杂流体模型被证明满足热力学第二定律。