经典的粘弹性模型都是由符合虎克定律的弹簧和符合牛顿流动定律的粘壶串并联得到.用非牛顿流体元件(以假塑性流体元件为例)代替符合牛顿流动定律的粘壶,与弹性元件并联或串联构造出修正的Kelvin模型和修正的Poynting-Thomson模型,给出相应的微分型本构方程,求解本构方程得到幂律型蠕变函数.常用的Findley幂律模型仅仅是一个经验蠕变函数,而修正的模型给出的幂律型蠕变函数,参数物理意义明确,并且可以给出对应的其它粘弹特征,如应力松弛.用修正的Kelvin模型对环氧化天然橡胶、用修正的Poynting-Thomson模型对高密度聚乙烯实验数据进行了拟合,结果表明修正的模型能较好地描述这两种材料的蠕变.
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