一种工程实用的分数指数黏弹性固体模型

从热力学对模型的限制出发，提出了一种工程实用的、新固体流变模型-分数指数模型，它可与实验结果很好吻合，具有简单实用、计算速度快、自相谐调的优点，克服了目前固体模型收敛速度太慢、计算量太大的严重缺点，可以广泛应用于线性或非线性黏弹性被子示问题的计算之中。

A PRACTICAL FRACTIONAL EXPONENTIAL MODEL OF VISCOELASTIC SOLIDS

From the viewpoint of the restriction of thermodynamics to viscoelastic models, a new practical rheological model, named the fractional exponential model for solids, is proposed in this paper. It can fit the experimental data with high precision and has the advantage of simplicity, practicality, high calculating speed, and self-consistency, where the convergence rate is too as compared with the best models of solids at present slow and the calculating amount is huge. The model can be widely used in the calculation of practical problems of linear or nonlinear viscoelastic materials.