SH波在正交各向异性功能梯度材料直裂纹处的散射

The Scattering of SH Wave on a Crack in an Infinite of Orthotropic Functionally Grade Material Plane

研究了正交各向异性功能梯度材料中直裂纹对SH波的散射问题,材料两个方向的剪切模量和密度假定为指数模型,通过积分变换-积分方程方法,建立数学模型,化为对偶积分方程,用Copson方法求解对偶积分方程,最后得到动应力强度因子,并且给出了数值算例,讨论了在SH波作用下,裂纹尖端的动应力强度因子与入射波的频率,入射角的关系．

In this paper, the scattering of SH wave on a center--situated crack in an orthotropic functionally gradematerial plane is studied. The shear moduli in two directions of functionally graded material and the mass density are assumed to be of exponential form . by using the Fourier integral transform and the boundary conditions, the problem is reduced to a dual integral equations. The dynamic stress intensity factors at the crack tip are obtained by the using Copson methods and the numerical integral technique. As an example, the eects of the parameter and the frequency of SH wave on norm dynamic stress intensity factors are discussed.