An alternative dual reciprocity BEM for P-SV wave propagation problems: A comparative study

Abstract

This research introduces a dual reciprocity boundary element method (BEM) designed to analyze the transient scattering of vertically travelling incident P-SV waves. By using static fundamental solutions and appropriate predictor operations, the domain inertia integrals from the equilibrium equation were transformed into boundary integral equations. The computable format of the integral equations was achieved by incorporating the effects of free-field displacements into the equations. After coding the formulation, the proposed technique's accuracy and efficiency were assessed through various wave scattering problems, such as an encased round hole, a half-circle depression, and a double-peaked mound, all exposed to vertically incoming P-SV waves. An extensive comparison was conducted with the full-plane time-domain boundary element technique available in the literature, focusing on accuracy and computation time. The findings indicated that despite the complexity and necessity for interior points in dual reciprocity models, it is more advantageous than the traditional full-plane time-domain approach, as it substantially reduces analysis time.