一个非线性粘弹性本构模型及其在聚合物材料中的应用  

A nonlinear viscoelastic constitutive model and its application for polymer

作　　者：赵荣国[1] 陈忠富[2] 张淳源[3] 

机构地区：[1]中国工程物理研究院结构力学研究所,四川绵阳621900 [2]中国工程物理研究院北京研究生部,北京100088 [3]湘潭大学建筑工程系,湖南湘潭411105

出　　处：《湘潭矿业学院学报》2003年第1期48-52,共5页Journal of Xiangtan Mining Institute

基　　金：国家自然科学基金项目资助(编号:19972045)

摘　　要：在引用三维Stieltjes卷积形式的简化非线性粘弹性本构关系和三维本构关系的弹性回复对应原理的基础上,提出了一个新的非线性粘弹性本构模型,运用该本构模型对聚丙烯材料在不同应变率条件下的单轴拉伸和已知等幅循环应变历史两种情形的应力响应进行预报.理论计算表明,建立在弹性回复对应原理基础上的非线性粘弹性本构模型能够对聚合物一类非线性粘弹性材料的本构行为进行合理的描述.图9,参23.A new nonlinear viscoelastic constitutive model obtained from the threedimensional nonlinear viscoelastic constitutive relations by Stieltjes convolution and the elasticity recovery correspondence in the form of threedimension constitutive is proposed in this paper. The nonlinear viscoelastic constitutive model is applied to forecast the stress responds of singleaxis tension to different strain rates as well as those responds to equiamplitude cyclic strain for polypropylene tests. The fact that the nonlinear viscoelastic constitutive model based on the elasticity recovery correspondence principle can be used to describe the constitutive behaviors about a class of nonlinear viscoelastic material as polymer is verified by the theoretic calculations.9figs.,23refs.

关 键 词：非线性粘弹性本构模型 弹性回复对应原理 聚合物 松弛模量 蠕变柔量 

分 类 号：TB12[理学—工程力学]