摘要
采用复变函数法研究了含有部分脱胶的浅埋圆形衬砌对SH波的散射问题.首先,将所研究的区域分成两个域,在圆形衬砌中构造一个满足脱胶部分应力自由的散射波函数,将其展开为含有一个待定系数的Fourier级数;而在介质半空间中应满足脱胶部分应力自由,公共边界处位移和应力连续的边界条件.然后,在"公共边界"上实施"契合",与此同时,可构造出脱胶结构,进而得到求解该问题的无穷代数方程组.最后,针对目前工程上应用较广的两种典型浅埋衬砌进行算例分析,给出了地表位移的数值结果,并讨论了入射波参数、脱胶位置以及埋深对地表位移的影响结果.
The scattering of SH-waves by a shallow buried circular liner with a partially debonded re- gion in a half space is studied by analytical function method. Firstly, the solution domain is divided into two parts. The scattering wave function in the circular liner is constructed with vanished stress on the debonded region. Then, the wave function is expanded into Fourier series. In the half space, the boundary condition of the medium should satisfy the vanished stress on the the debonded region and the continuous stress and displacement on the remainder boundary of the elastic inclusion. The ＂conjunction＂ is applied on the com- mon boundary and the debonded region is constructed. A set of infinite algebraic equations to solve this problem are obtained. In the end, numerical examples of the surface displacement about two classical kinds of circular liner used widely in engineering are presented, the influences by the incident wave parameters, the position of debonded region and the depth of circular liners are discussed.
出处
《固体力学学报》
CAS
CSCD
北大核心
2008年第3期301-306,共6页
Chinese Journal of Solid Mechanics
基金
黑龙江省自然科学基金(A0206)资助.
关键词
SH波散射
地表位移
圆形衬砌
脱胶
半空间
scattering of SH-waves,the surface displacement,circular liner,debonded region,half space
