Closed-form integration of singular terms for constant, linear and quadratic boundary elements. Part 1. SH wave propagation

One of the most important aspects in the application of boundary element te chniques to wave propagation problems is the accurate representation of the singular terms at the points of application of the virtual loads. It is cu rrent practice to carry out this task by means of numerical quadrature. Thi s paper presents an analytical evaluation of the singular integrals for con stant, linear and quadratic boundary elements involving SH waves, the resul ts of which are then used to model inclusions in a two-dimensional acoustic medium illuminated by dynamic anti-plane line sources. Finally, the BEM re sults are compared with the known analytical solutions for cylindrical incl usions. (C) 1999 Elsevier Science Ltd. All rights reserved.