学术
SH波在正交各向异性功能梯度无限长条中心裂缝处的散射
刘俊俏[1] 李星[2]
[1]山西省运城学院应用数学系,运城044000 [2]宁夏大学数学计算机学院,银川750021
摘 要:
研究了正交各向异性功能梯度材料无限长条中心裂缝对SH波的散射问题，为方便起见，材料两个方向的剪切模量和密度假定为指数模型．通过Fourier积分变换，将问题转化为对偶积分方程的求解．然后，用Copson方法求解对偶积分方程，定义了标准动应力强度因子，通过数值算例，讨论了在SH波作用下，裂缝尖端的标准动应力强度因子与入射波的频率、材料参数之间的关系。[著者文摘]
文章出处:
《固体力学学报》-2006年27卷4期 -369-373页
分 类 号:
SCATTERING OF THE SH WAVE ON A CRACK IN AN INFINITE OF ORTHOTROPIC FUNCTIONALLY GRADE MATERIAL PLANE
Liu Junqiao, Li Xing （1 Faculty of Applied Mathematics , Yuncheng University , Yuncheng ,044000; 2 The School of Mathematics and Computer Sciences, Ningxia University ,Yinchuan, 750021）
Abstract:
The scattering of the SH wave on a center crack in an orthotropic functionally grade material plane is studied. The shear modulus in two directions of functionally graded material and the mass density are assumed to be exponential form. By using the Fourier interal transform and the boundary conditions, the problem is reduced to dual integral equations. The dynamic stress intensity factors at the crack tip are obtained by using Copson method and numerical integral technique. As an exmple,the effects of the material parameter and the frequency of SH wave on the norm dynamic stess intensity factors are discussed.[著者文摘]
Key words:
orthotropic functionally graded materials,dual integral equations,SH wave,dynamic stess intensity factor, scattering
基金资助:
国家自然科学基金（10661009）资助,山西省重点学科基金扶持项目.
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