论文标题
关于热力学的一些评论
A few remarks on thermomechanics
论文作者
论文摘要
我们开发了一个全球设置，用于建模满足热力学原理并不变的热弹性材料。这种设置涵盖了许多已知的固体和流体模型，以及具有概括麦克斯韦流变学模型的内部变量的新模型。复杂的流体模型（例如Oldroyd B模型）被证明属于上述通用模型家族。然而，在满足热力学的第二个原理方面，发现特定的Oldroyd B模型严重缺乏。相反，证明基于Zaremba-Jaumann衍生物的第二个复杂流体模型可满足热力学的第二个原理。
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.
