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功能梯度材料中反平面Yoffe型运动裂纹
引用本文:刘琦.功能梯度材料中反平面Yoffe型运动裂纹[J].绍兴文理学院学报,2002,22(8):16-19.
作者姓名:刘琦
作者单位:绍兴文理学院,土木系,浙江,绍兴,312000
摘    要:用积分变换方法研究了功能梯度弹性材料中反平面Yoffe型运动裂纹问题 .首先采用余弦变换求解功能梯度材料的基本方程 ,然后根据混合边值条件建立Yoffe型运动裂纹的对偶积分方程 ,再把对偶积分方程化为第二类Fredholm积分方程 .文末的数值算例表明功能梯度材料的梯度参数及裂纹的运动速度对动应力强度因子有较大的影响 .

关 键 词:非均匀材料  Yoffe型运动裂纹  反平面问题
文章编号:1008-293X(2002)02-0016-04
修稿时间:2002年4月22日

Antiplane Yoffe- type Moving Crack in Functionally- graded Materials
Liu Qi.Antiplane Yoffe- type Moving Crack in Functionally- graded Materials[J].Journal of Shaoxing College of Arts and Sciences,2002,22(8):16-19.
Authors:Liu Qi
Abstract:This paper considers antiplane Yoffe-type moving crack in functionally-gradedmaterials (FGM) by using integral transform technique. First the governing equations of FGMare solved by means of Fourier Cosine transform. Then dual integral equations for antiplaneYoffe-type moving crack are established according to the mixed boundary value conditions. It is shown that the dual integral equations can be reduced into the Fredholm integral equations of the second kind. Numerical results indicate that the gradient parameter of the FGM and themoving velocity of crack have significant influence on the dynamic stress intensity factor.
Keywords:functionally-graded material  Yoffe-type moving crack  antiplane problem
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