功能梯度/压电材料中裂纹对SH波的散射问题  

SH-Wave Scattering Caused by the Crack in Functionally-Graded Piezoelectric Layers

作　　者：马旭[1] 

机构地区：[1]宁夏师范学院数学与计算机科学系,宁夏固原756000

出　　处：《苏州科技学院学报（自然科学版）》2009年第2期44-50,共7页Journal of Suzhou University of Science and Technology （Natural Science Edition）

基　　金：宁夏教育厅科研基金资助项目(N20081007);宁夏师范学院科研基金资助项目(YB08024;YB08015)

摘　　要：讨论了具有裂纹的无限长功能梯度/压电材料层合的SH波散射问题。在电渗透型边界条件情况下,将考虑的问题通过Fourier积分变换把混合边值问题的求解转化为对偶积分方程,利用Copson方法将得到的对偶积分方程转化为Fredholm积分方程再进行数值求解,得到了裂纹尖端的应力强度因子、电位移强度因子。最后讨论了材料梯度参数、入射角等因素对标准动应力强度因子的影响。SH-wave scattering caused by the crack in functionally-graded piezoelectric layers is discussed. Under the permeable boundary conditions, the system complex goveming equations can be obtained by using the constitutive relations of functionally graded piezoelectric materials and functionally graded piezoelectric/ piezomagnetic composite materials. The Fourier integral transform techniques are used to change the problem to the solution of dual integral equations. Then, these dual integral equations are changed into Fredholm integral equations by using Copson method. After that, the numerical integration technique is employed to solve the integral equations. In the end,we get the stress, electric displacement factors at crack tips. Numerical results show the effect of loading combination parameter,material distribution ,angle of wave upon the normalized stress intensity factor.

关 键 词：对偶积分方程 功能梯度压电材料 强度因子 SH波 

分 类 号：O343[理学—固体力学]