The Ground Motion and Scattering of SH Waves for Bi-material Half Space Including Circular Inclusion

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Journal of Vibration and Shock ›› 2016, Vol. 35 ›› Issue (7) : 205-208.

Yang Jie1, 2, Qi Hui2

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Abstract

The analysis for the problems of the ground surface motion in infinite half space including a circular elastic inclusion near bi-material interface impacted steady incident SH waves is studied by using the methods of complex function and Green function. Firstly, the Green function needed for the problem is constructed with the aid of the “image a point source load” method, which is an essential solution of displacement function for a quarter space impacted a point source load at any point of the its free boundary. Secondly, a series of the first kind of Fredholm integral equations containing infinite unknown forces are contained by using the technology of interfacial “conjunction” and the idea of “image”. Then the equations are solved with aid of an effective truncation. Finally, some examples for the amplitude of the ground surface displacement are given in detail. Numerical examples demonstrate that the distribution of the amplitude of ground surface displacement is influenced to some degree by the incident angles, incident wave numbers, the distance between the circular inclusion and the free surface and the distance between the circular inclusion and the bi-material interface and so on.

Key words

SH waves / bi-material half space / inclusion / image / the amplitude of ground surface displacement

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Yang Jie1, 2, Qi Hui2. The Ground Motion and Scattering of SH Waves for Bi-material Half Space Including Circular Inclusion[J]. Journal of Vibration and Shock, 2016, 35(7): 205-208

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