Closed-form integration of singular terms for constant, linear and quadratic boundary elements. Part 2. SV-P wave propagation

Part I of these two related papers considered the analytical evaluation of singular integrals for anti-plane boundary elements, the results of which w ere then applied to the evaluation of scattering problems involving SH wave s. This second part provides an extension of these results to the more comp licated case of in-plane boundary elements, and presents their application to scattering problems involving SV-P waves. First, the singular integrals for constant, linear and quadratic boundary elements are evaluated a in clo sed form. Thereafter, the formulation is used to model cylindrical inclusio ns in a two-dimensional elastic medium illuminated by dynamic in-plane (pla ne-strain) line sources. The boundary element method (BEM) results are then compared with the known analytical solutions for these problems. (C) 1999 Elsevier Science Ltd. All rights reserved.