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粘弹体中裂纹演化的细观力学分析
引用本文:张双寅.粘弹体中裂纹演化的细观力学分析[J].应用数学和力学,2002,23(3):249-253.
作者姓名:张双寅
作者单位:中国科学院, 力学研究所, 北京, 100080
基金项目:国家自然科学基金资助项目 (195 72 0 73)
摘    要:根据Eshelby等效夹杂理论研究含残币形裂纹的粘弹体中裂纹张开位移随时间的缓慢增大以及含裂纹粘弹性体的等效模量随时间的变化。对于Maxwell粘弹性材料给出了模量随时间变化的显式表达式,结果表明裂纹的缓慢张开使材料模量减小更快。

关 键 词:粘弹性    裂纹    细观力学
文章编号:1000-0887(2002)03-0249-05
收稿时间:2000-07-27
修稿时间:2000年7月27日

Micromechanics Analysis on Evolution of Crack in Viscoelastic Materials
ZHANG Shuang-yin.Micromechanics Analysis on Evolution of Crack in Viscoelastic Materials[J].Applied Mathematics and Mechanics,2002,23(3):249-253.
Authors:ZHANG Shuang-yin
Institution:Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080, P R China
Abstract:A preliminary analysis on crack evolution in viscoelastic materials was presented.Based on the equivalent inclusion concept of micro-mechanics theory,the explicit expressions of crack opening displacement δ and energy release rate G were derived,indicating that both δ and G are increasing with time.The equivalent modulus of the viscoelastic solid comprising cracks was evaluated.It is proved that the decrease of the modulus comes from two mechanisms:one is the visco-elasticity of the material,the other is the crack opening which is getting larger with time.
Keywords:visco-elasticity  crack  micro-mechanics
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