基于内变量理论的流变学模型
Distinguished rheological models in the framework of a thermodynamical internal variable theory
摘要：
本文提出并分析了一个单内变量流变学理论。只要介观和/或微观背景过程满足应用的物理原理，即第二定律、基本平衡和存在附加张量状态变量，就可以保证模型的普适性。由此产生的模型，我们建议称之为Kluitenberg-Verhás体，是带有附加惯性元件的Poynting-Thomson-Zener体，或者换句话说，是Jeffreys模型到固体的扩展。我们认为，这个Kluitenberg-Verhás体是流变学的天然结构单元。所提出的方法的一个重要特点是，非平凡的不等式类型的限制出现的四个参数的模型。我们将这些条件和其他方面与其他已知的热力学方法进行比较，如扩展的不可逆热力学或Kluitenberg的原始理论。
英文摘要：
We present and analyze a thermodynamical theory of rheology with single internal variable. The universality of the model is ensured as long as the mesoscopic and/or microscopic background processes satisfy the applied thermodynamical principles, which are the second law, the basic balances and the existence of an additional-tensorial-state variable. The resulting model, which we suggest to call the Kluitenberg-Verhás body, is the Poynting-Thomson-Zener body with an additional inertial element, or, in other words, is the extension of Jeffreys model to solids. We argue that this Kluitenberg-Verhás body is the natural thermodynamical building block of rheology. An important feature of the presented methodology is that nontrivial inequality-type restrictions arise for the four parameters of the model. We compare these conditions and other aspects to those of other known thermodynamical approaches, like Extended Irreversible Thermodynamics or the original theory of Kluitenberg.
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