Propagation and Scattering of SH-Waves in Semi-Infinite Domains Using a Time-Dependent Boundary Element Method

[+] Author and Article Information
J. M. Rice, M. H. Sadd

Department of Mechanical Engineering and Applied Mechanics, University of Rhode Island, Kingston, R.I. 02881

J. Appl. Mech 51(3), 641-645 (Sep 01, 1984) (5 pages) doi:10.1115/1.3167686 History: Received June 01, 1983; Revised January 01, 1984; Online July 21, 2009


The propagation and scattering of SH-waves of general form is investigated using the boundary element method. Attention is focused on semi-infinite regions containing subsurface cavities. The analysis is carried out within the context of linear elastodynamic theory formulated as an integral equation. Using a time-dependent Green’s function for the half space, the boundary integral equation is developed and is discretized into a finite set of algebraic relations. A time-stepping algorithm is constructed for the solution of general boundary value—initial value problems. Results of this solution technique are presented for the two-dimensional case of transient waves scattering off of buried stress-free cavities.

Copyright © 1984 by ASME
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