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非线性粘弹性材料的一个瞬时弹性本构关系
引用本文:赵荣国,张淳源. 非线性粘弹性材料的一个瞬时弹性本构关系[J]. 吉首大学学报(自然科学版), 2001, 22(4): 19-22
作者姓名:赵荣国  张淳源
作者单位:( 中国工程物理研究院,北京 100088)
基金项目:国家自然科学基金资助项目 (19772 0 45 )
摘    要:运用非线性粘弹性本构理论中的弹性回复对应原理,得到了一个简单的适用于非线性粘弹性材料的瞬时弹性本构关系.结合实例分析, 验证了由该瞬时弹性本构所表征的非线性粘弹性本构关系能对非线性粘弹性材料的力学行为进行合理描述的结论.

关 键 词:瞬时弹性本构关系  非线性粘弹性本构关系  弹性回复对应原理  松弛模量  蠕变柔量
文章编号:1007-2985(2001)04-0019-04
修稿时间:2001-09-04

An Instantaneous Elastic Constitutive Relation for Nonlinear Viscoelastic Materials
ZHAO Rong-guo ,ZHANG Chun-yuan. An Instantaneous Elastic Constitutive Relation for Nonlinear Viscoelastic Materials[J]. Journal of Jishou University(Natural Science Edition), 2001, 22(4): 19-22
Authors:ZHAO Rong-guo   ZHANG Chun-yuan
Affiliation:( 1. Institute of Engineering Physics of China, Beijing 100088, China; 2. Department of Architectural Engineering, Xiangtan University, Xiangtan 411105, Hunan China)
Abstract:In this paper, a simple instantaneous elastic constitutive relation for nonlinear viscoelastic materials is obtained by using the elasticity recovery correspondence principle in nonlinear viscoelastic constitutive theory.The result that the nonlinear viscoelastic constitutive relation being marked by the instantaneous elastic constitutive relation can correctly describe the mechanics behaviors of nonlinear viscoelastic materials is verified by comparison between the theoretic calculated results and experimental data about the experiments under different strain rate levels for improved polypropylene.
Keywords:instantaneous elastic constitutive relation  nonlinear viscoelastic constitutive relation  elasticity recovery correspondence principle  relaxation modulus  creep compliance
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