变温粘弹性的一般理论

本文提出了变温松弛曲线的概念,建立了由材料的一组恒温松弛曲线确定材料沿任一温度历史的变温松弛曲线的方法;提出了终态温度等效松弛曲线的概念,推导出了变温下粘弹性材料本构方程的一般形式。文中证明了现有的热流变简单材料理论是本文理论的特例,并揭示了热流变简单材料理论的物理内涵。

THE GENERAL THEORY OF VISCOELASTICITY UNDER NONCONSTANT TEMPERATURE STATES

This paper presents the concept of relaxation curves under nonconstant temperature states, the method of determining relaxation curve under nonconstant temperature states along a temperature history from a group of relaxation curves under constant temperature states, the concept of equivalent relaxation curve at the terminal temperature and, finally, the general constitutive equations of viscoelastic materials under nonconstant temperature states. It is proved that the theory of thermorheological simple material is a special case of this theory. This paper reveals the physical meaning of the mathematical method in the theory of thermorheological simple material.