In this paper, we provide a method for developing the FENE-P constitutive relation and generalizations of such constitutive relations from a totally different perspective than that used to develop such constitutive relations. The thermodynamic framework within which the constitutive relations are generated is a generalization of the structure within which rate type fluid models to describe the viscoelastic response of fluids were developed (JNNFM, 88, 207–227 (2000)). It is interesting to note that widely different approaches such as those based on the notion of configuration tensors and the study carried out here are able to lead to the same classes of models, providing one basis for some conviction concerning the appropriateness of the model. Also, the fact that the general thermodynamic structure used here has also been used successfully to establish constitutive relations to describe the response of bodies in a wide range of areas in inelasticity, twinning, phase transitions, chemically reacting mixtures, shape memory alloys and polymers, etc., gives additional credibility to the construction of constitutive relations such as those obtained in this study.

在本文中，我们提供了一种用于开发FENE-P本构关系的方法，以及从与用于开发本构关系的角度完全不同的角度对此类本构关系进行了概括的方法。产生本构关系的热力学框架是对结构的概括，在该结构中开发了描述流体粘弹性响应的速率型流体模型（JNNFM，88，207-227（2000））。有趣的是，诸如基于配置张量概念的广泛不同方法以及此处进行的研究都可以得出相同类型的模型，从而为对模型适用性的某些信念提供了依据。还，