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利用非局部理论分析功能梯度材料中两平行裂纹的动态性能
引用本文:张瑞玲.利用非局部理论分析功能梯度材料中两平行裂纹的动态性能[J].河南师范大学学报(自然科学版),2007,35(3):157-160.
作者姓名:张瑞玲
作者单位:电子科技大学,软件学院,成都,610054;商丘职业技术学院,河南,商丘,476100
摘    要:利用非局部理论求解了功能梯度材料中两平行裂纹对反平面简谐波散射的动态断裂问题.经傅立叶变换,问题的求解可以转换为对两对以裂纹面张开位移为变量的对偶积分方程的求解,为了求解对偶积分方程,把裂纹面张开位移直接展开成雅可比多项式形式.与经典理论的解相比,裂纹尖端处不再有应力奇异性出现.

关 键 词:裂纹  非局部理论  功能梯度材料
文章编号:1000-2367(2007)03-0157-04
修稿时间:2007-04-10

Investigation of the Dynamic Behavior of Two Parallel Cracks in Functionally Graded Materials by Means of the Non-local Theory
ZHANG Rui-ling.Investigation of the Dynamic Behavior of Two Parallel Cracks in Functionally Graded Materials by Means of the Non-local Theory[J].Journal of Henan Normal University(Natural Science),2007,35(3):157-160.
Authors:ZHANG Rui-ling
Abstract:The dynamic behavior of two parallel cracks in functionally graded materials subjected to the harmonic anti-plane shear waves is investigated by means of the non-local theory.By use of the Fourier transform,the problem can be solved with the help of two pairs of dual integral equation.To solve the dual integral equations,the displacement jumps across crack surfaces are expanded in a series of Jacobi polynomials.Unlike the classical elasticity solutions,it is found that no stress singularity is present at crack tips.
Keywords:crack  the non-local theory  functionally graded materials
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