摘要
研究了平面SH波在弹性半空间中浅埋椭圆柱形孔洞上的散射.采用复变函数和多极坐标方法构造了一个能够自动满足水平表面上应力自由边界条件的散射波函数.应用这一波函数,将半空间中的问题转化为求解一个全空间中椭圆形孔洞的散射问题,最终将问题归结对一组无穷代数方程组的求解.作为对抗震问题的研究,给出了浅埋椭圆孔附近的动应力集中系数的数值结果,并对算例进行了讨论.研究表明浅埋孔洞与水平表面存在强烈的相互作用并产生动应力集中,在浅埋结构设计时应加以充分重视.
Scattering of obliquely incident SH - wave by a buffed elliptic cylindrical cavity in elastic half- space was investigated. A scattered wave function satisfing the stress - free boundary condition at the half- space surface is constructed by using complex functions and a multi- polar coordinate system. Using this the problem can be summarized into scattering of SH - wave around an elliptic cavity in full space. Finally, the solving can be reduced to the solution of a series of algebraic equations. Numerical results of dynamic stress concentration around the elliptic cavity are provided and discussed. The study shows that intense interaction exists between the subsurface cavity and the horizontal surface, and then creates dynamic stress concentration, which should be attached enough importance to while designing subsurface structure.
出处
《暨南大学学报（自然科学与医学版）》
CAS
CSCD
北大核心
2005年第3期324-330,共7页
Journal of Jinan University(Natural Science & Medicine Edition)
关键词
SH波散射
浅埋
椭圆孔
动应力集中
scattering of SH - wave
shallow buried
elliptic cavity
dynamic stress concentration
