Abstract: The one-mode mean-configuration model proposed by Giesekus has been generalized to non-isothermal cases. The well-known viscosity-temperature equations can then be used to account for the effect oi temperature and thermal history on the stress tensor and obtain a constitutive equation that describes the non-isothermal rheological behavior of concentrated polymer solutions and polymer melts without the necessity of introducing any assumption of non-isothermal behavior into molecular models. The calculations of non-isothermal stress growing indicates that the constitutive equation gives a reasonable description of the non-isothermal rheological behavior of polymer liquids without the disadvantages involved in the constitutive equations proposed by the previous investigators.

摘要： 本文将Giesekus提出的单模式平均构型分子模型推广到非等温情形,然后利用人们熟知的粘温关系式来计及温度和热历史对应力张量的影响,得到一个描述聚合物浓溶液和熔体非等温流变性质的本构方程,不必在分子模型中引入人为的假定来考虑非等温效应.对于非等温应力发展的计算表明,这一本构方程能避免以前研究者提出的本构方程的缺点,合理地描述聚台物流体的非等温流变性质.