The dynamic response of an embedded cavity in a half-space subjected to SH waves using the Boundary Element Method

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Abstract

A reciprocity-based direct boundary integral method and indirect boundary integral method have been introduced and used to obtain the two-dimensional response of a cylindrical cavity embedded in a uniform elastic half space subjected to SH wave. By introducing free wave field and the actual field with a cavity, the key point to solve for scattered wave field is cavity boundary integral. In order to do so, plane waves generated by free wave field and a 2D Green’s function for a half space are used. To overcome the limitations of direct boundary integral method, an indirect boundary integral method provided by a classical case study is used. In the end, results are calculated by the latter method, indirect boundary method, and are used to compare with the results from the classical case study.

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