开发无瞬时弹性流体的率型模型的热力学框架
A thermodynamic framework to develop rate-type models for fluids without instantaneous elasticity
AI总结：
本文应用Rajagopal及其合作者建立的热力学框架，开发了不具有瞬时弹性的粘弹性流体的率型模型，并通过具体选择亥姆霍兹势和耗散率展示了模型的蠕变和应力松弛响应。
摘要：
在本文中，我们应用Rajagopal及其合作者最近建立的热力学框架，开发了不具有瞬时弹性的粘弹性流体的率型模型。为了说明此类模型的能力，我们对具体的亥姆霍兹势和耗散率进行了特定选择，并考虑了与模型相关的蠕变和应力松弛响应。给定亥姆霍兹势和耗散率的具体形式，在应力功率与亥姆霍兹势变化率之差等于耗散率以及任何其他可能适用的约束（如不可压缩性）的条件下，耗散率被最大化。我们表明，所开发的模型表现出流体特性，并且不能产生瞬时弹性响应。它还包括类似Maxwell和Kelvin-Voigt的粘弹性材料（当某些材料模量取特殊值时）。
英文摘要：
In this paper, we apply the thermodynamic framework recently put into place by Rajagopal and co-workers, to develop rate-type models for viscoelastic fluids which do not possess instantaneous elasticity. To illustrate the capabilities of such models we make a specific choice for the specific Helmholtz potential and the rate of dissipation and consider the creep and stress relaxation response associated with the model. Given specific forms for the Helmholtz potential and the rate of dissipation, the rate of dissipation is maximized with the constraint that the difference between the stress power and the rate of change of Helmholtz potential is equal to the rate of dissipation and any other constraint that may be applicable such as incompressibility. We show that the model that is developed exhibits fluid-like characteristics and is incapable of instantaneous elastic response. It also includes Maxwell-like and Kelvin-Voigt-like viscoelastic materials (when certain material moduli take special values).
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