弹性回复对应原理在非线性粘弹性本构理论中的应用  

Application of the elastic recovery correspondence principle in nonlinear viscoelastic constitutive theory

作　　者：赵荣国[1] 张淳源[2] 陈忠富[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]湘潭大学建筑工程系,湖南湘潭411105 [3]中国工程物理研究院北京研究生部,北京100088

出　　处：《云南大学学报（自然科学版）》2002年第4期277-281,286,共6页Journal of Yunnan University(Natural Sciences Edition)

基　　金：国家自然科学基金资助项目 ( 19772 0 45 )

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 ,提出了一种寻求非线性粘弹性本构关系的新方法 ,运用上述理论对聚丙烯材料在不同应变率条件下的单轴拉伸应力应变曲线进行了模拟 ,理论计算表明 。A new nonlinear viscoelastic constitutive relation baced on the three-dimensional nonlinear viscoelastic constitutive relations by Stieltjes convolution and the elastic recovery correspondence principle in the form of three-dimension constitutive relation is proposed in this paper.The new nonlinear viscoelastic constitutive relation is applied to forecast the stress respons of polypropylene single-axis tension to different strain's rates in the tests.The fact that the nonlinear viscoelastic constitutive relation based on the elasticity recovery correspondence principle can be used to describe the constitutive behavior of polymer,a class of nonlinear viscoelastic material,is verified by the theoretic calculations.

关 键 词：弹性回复对应原理 非线性粘弹性本构理论 松驰模量 蠕变柔量 

分 类 号：O345[理学—固体力学]