Scattering of plane SH waves by a cylindrical alluvial valley of circular-arc cross-section

abstract The closed-form solution of the dynamic interaction of an elastic shear wall and the elastic homogeneous half-space, previously known only for the rigid foundation with circular cross section, has been generalized to apply for the foundation with elliptical cross section. It is shown that the interaction equation depends on the incidence angle of plane SH waves and that this dependence gradually disappears as the elliptical cross section approaches the circular one. The effectiveness with which the rigid foundation can scatter the incident energy has been found to increase with the depth of the foundation.

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Ground motion on alluvial valleys under incident plane SH waves

The Journal of the Australian Mathematical Society Series B Applied Mathematics ◽

10.1017/s0334270000007013 ◽

1991 ◽

Vol 33 (2) ◽

pp. 240-253 ◽

Cited By ~ 1

Author(s):

David L. Clements ◽

Ashley Larsson

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Ground Motion ◽

Boundary Integral Equations ◽

Layered Material ◽

Boundary Integral ◽

Alluvial Valley ◽

Sh Waves ◽

Incident Plane ◽

Plane Sh Waves

AbstractThe scattering and diffraction of harmonic SH waves by an arbitrarily shaped alluvial valley in a layered material is considered. The problem is solved in terms of boundary integral equations which yield a numerical solution.

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Ground Motion at a Semi-Cylindrical Valley Partially Filled with a Crescent-Shaped Soil Layer Under Incident Plane SH Waves

Journal of Earthquake and Tsunami ◽

10.1142/s1793431117500075 ◽

2017 ◽

Vol 11 (03) ◽

pp. 1750007 ◽

Cited By ~ 3

Author(s):

Ning Zhang ◽

Yufeng Gao ◽

Denghui Dai

Keyword(s):

Ground Motion ◽

Soil Layer ◽

Topographic Effects ◽

Soil Amplification ◽

Alluvial Valley ◽

Sh Waves ◽

Topographic Amplification ◽

Incident Plane ◽

Irregular Topography ◽

Plane Sh Waves

To elucidate the ground motion amplification due to soil and topographic effects, an analytical formulation based on wavefunction expansion is derived for the scattering of plane SH waves by a semi-cylindrical valley partially filled with a crescent-shaped soil layer. The site responses consisting of both soil and topographic effects from the partially filled alluvial valley and the pure topographic contribution from the homogeneous valley of the same geometry are calculated and compared. It is found that the soil amplification effects are usually larger than the topographic amplification effects within the alluvial valley, while the topographic effects dominate the amplification pattern of ground motions outside the alluvial valley. Generally, the maximum soil amplification generally far outweighs the maximum topographic amplification. The material parameters and filling degree of the soil layer are found to affect the magnitude and the pattern of ground motion amplitude on the valley surface depending on the irregular topography, the frequency content and obliquity of the wave incidence.

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