摘要
运用边界元方法研究矩形域各向同性弹性体含裂纹对ＳＨ波散射问题，利用分离变量求出方程在矩形域的特征值，在正交基上将Ｄｉｒａｃ函数分解，并和基本函数作比较，得出格林函数的显式．导出以裂纹张开位移为未知数的积分方程，计算出散射位移．算例结果表明，利用边界元法解答有限域的散射问题具有良好的精度且计算速度快．
The scattering problem of SH waves due to a crack in the rectangular domain in a homogeneous isotropic elastic body is studied with BEM. By using the method of separation of variables, the eigenvalues of the equation for the domain are found. By decomposing the Dirac function on the orthogonal basis and comparing with the basic functions, the explicit expression of Greens function is obtained. The integral equation with the crack opening displacement as an unknown is derived and the scattering displacement is calculated. Examples show that such a scattering problem can be solved by BEM with satisfactory accuracy and at fairly high speed.
出处
《华中理工大学学报》
CSCD
北大核心
1996年第12期36-38,共3页
Journal of Huazhong University of Science and Technology
基金
国家教委博士点基金
关键词
SH波
裂纹
边界元
张开位移
scattering of SH waves
eigenvalue
orthogonal basis
orthogonal decomposition
