对现有的参数非线性理论流变力学模型及其建立的方法进行系统的总结,归纳出处理参数非线性理论流变模型的3种方式:(1)给出非线性流变部分的本构方程,推导出整个流变模型的本构方程,并进一步推导出包括蠕变方程在内的流变模型的其他方程;(2)给出非线性部分的本构方程,推导出该部分的蠕变方程,并与常参数部分的蠕变方程叠加得到整个流变模型的蠕变方程;(3)给出非线性流变部分的蠕变方程,与常参数部分的蠕变方程叠加,得到整个流变模型的蠕变方程。这3种方式可以对今后的研究给予指导。指出一些参数非线性理论流变模型和建立方法所存在的问题甚至错误,以免在今后的研究工作中犯类似的错误。
This paper gives a review of the nonlinear theoretical rheological model(TRM) in which some or all of the rheological parameters are variables versus stress,time or both of the two.Various kinds of TRMs are summarized,and different methods of obtaining creep equations of the nonlinear TRMs are categorized into three basic forms:(1) Constitutive equation of the nonlinear part is given first,followed by the deduction of the whole model's constitutive equation and creep equation.(2) Constitutive equation of the nonlinear part is given first;creep equation of this part is then deducted;and the whole model's creep equation can thus be obtained by superposition method.(3) Creep equation of the nonlinear part is given directly and creep equation of the whole model is obtained by superposition method.A doubtful and even wrong method is also pointed out to prevent further mistakes.