Scattering of SH-wave by multiple circular cavities in half space
Wang Guoqing (王国庆) and Liu
Dianku (刘殿魁)
School of Civil Engineering, Harbin Engineering University, Harbin 150001,
China
Abstract: In this paper, an analytic method is developed to address
steady SH-wave scattering and perform dynamic analysis of multiple circular
cavities in half space. The scattered wave function used for scattering of SH-waves
by multiple circular cavities, which automatically satisfies the stress-free
condition at the horizontal surface, is constructed by applying the symmetry of
the SH-wave scattering and the method of multi-polar coordinates system.
Applying this scattered wave function and method of moving coordinates, the
original problem can be transformed to the problem of SH-wave scattering by
multiple circular cavities in the full space. Finally, the solution of the
problem can be reduced to a series of algebraic equations and solved numerically
by truncating the infinite algebraic equations to the finite ones. Numerical
examples are provided for case with two cavities to show the effect of wave
number, and the distances between the centers of the cavities and from the
centers to the ground surface on the dynamic stress concentration around the
cavity impacted by incident steady SH-wave.
Keywords: SH-wave scattering; dynamic stress concentration; elastic
half-space; multiple circular cavities
