Scattering of SV Waves by a Local Nonhomogeneous Body in a Layered Half-Space

Abstract eng:
The scattering of SV waves by a local nonhomogeneous body of arbitrary shape in a layered half-space is modeled using the indirect boundary element method (IBEM) in the frequency domain. The free-field responses are calculated by using the exact dynamic-stiffness matrix of soil layers to determine the displacements and stresses at the interface of the local nonhomogeneous body , and fictitious distributed loads are then applied at the same interface in the free field to calculate the Green’s functions for displacements and stresses. The amplitudes of the fictitious distributed loads are determined from the boundary conditions, and the displacements arising from the waves in the free field and from the fictitious distributed loads are summed to obtain the solution. The effects of width and thickness of the local nonhomogeneous body, and the incident angle and frequency on the amplitudes of the surface displacements are studied. These results are compared with that of one-dimensional model. The numerical results indicate: The two-dimensional scattering effect of local nonhomogeneous body is significant and quite different from that of one-dimensional model. The influence of local nonhomogeneous body on determination of design earthquake ground motion parameters should be considered reasonably in evaluation of seismic safety for engineering site.

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