Influence on Scattering of SH-Wave by Surface Ground Isosceles Triangular Hill in Right-Angle Plane with Circular Cavity

Guo Jing; Hui Qi; Jie Yang

doi:10.4028/www.scientific.net/KEM.452-453.529

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HomeKey Engineering MaterialsKey Engineering Materials Vols. 452-453Influence on Scattering of SH-Wave by Surface...

Influence on Scattering of SH-Wave by Surface Ground Isosceles Triangular Hill in Right-Angle Plane with Circular Cavity

Abstract:

The analytical solution to the problem of the scattering of SH-wave by isosceles triangular hill near the subsurface cavity in right-angle plane is given by using the idea of match up. Firstly, wave function was constructed by using the methods of complex function, multi-polar coordinate transformation and superposition principle, which satisfied the stress free boundary conditions at the free surfaces for the right-angle plane possessing a circular cavity. Secondly, transform the wave field from the right-angle plane to the half space by using the method of mirror image in order to obtain the total wave filed, which satisfied the boundary conditions. Finally, based on the conditions of the displacement continuity and stress continuity at the “common border” and the stress free condition at the subsurface cavity edge, a series of infinite algebraic equations were given and solved by truncation. Meanwhile, some examples and results are given and discussed.

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Periodical:

Key Engineering Materials (Volumes 452-453)

Pages:

529-532

DOI:

https://doi.org/10.4028/www.scientific.net/KEM.452-453.529

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Online since:

November 2010

Authors:

Guo Jing, Hui Qi, Jie Yang

Keywords:

Amplitude of Displacement on the Surface, Circular Cavity, Isosceles Triangular Hill, Right-Angle Plane, Scattering of SH-Wave

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References

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DOI: 10.1007/bf02487716

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