半无限空间界面附近SH波对圆形衬砌的散射

建立了求解半无限空间中SH波对浅埋圆形衬砌结构的散射与动应力集中问题的解析方法。利用SH波散射的对称性和多极坐标的方法，在复平面上构造出了一个可以预先满足半空间自由表面上应力自由的边界条件的浅埋圆形衬砌对稳态SH波散射的波函数，并构造出衬砌内的散射波函数。然后根据衬砌周围的边界条件，将该问题转化为对一组无穷代数方程组的求解。最后给出了具体算例，并讨论了其数值结果。

Dynamic analysis of shallow-embedded lining structure by incident SH-wave

An analytic method is developed for the problem of dynamic stress concentration of a shallow-embedded circular lining structure impacted by the steady SH-wave in this paper. The first important thing is to construct a scattering wave function in the medium based upon the symmetry of scattering of SH-wave and the method of multi-polar coordinates system, which satisfies the condition of stress free at the ground surface of the half-space containing a shallow-embedded circular lining structure, and then the scattering wave functions for the lining structure are constructed. Using the boundary conditions around the lining structure, the solution of the problem can be reduced to a series of algebraic equations. Finally, numerical examples are provided and discussed.