两相带流力学本构模型的热力学势
Thermodynamic potential of a mechanical constitutive model for two-phase band flow
摘要：
从一个简单的力学本构模型（非局部扩散约翰逊-Segalman模型; DJS模型），我们提供了一个严格的理论解释，为什么一个独特的价值的高度剪切粘弹性流体的应力平台稳定实现。本分析是基于一个减少理论的自由度的模型方程在附近的临界点，这导致了一个时间演化方程，相当于那些一阶相变。
英文摘要：
Starting from a simple mechanical constitutive model (the non-local diffusive Johnson-Segalman model; DJS model), we provide a rigorous theoretical explanation as to why a unique value of the stress plateau of a highly sheared viscoelastic fluid is stably realized. The present analysis is based on a reduction theory of the degrees of freedom of the model equation in the neighborhood of a critical point, which leads to a time-evolution equation that is equivalent to those for first-order phase transitions.
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