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

摘要

One of the most important aspects in t he application of boundary element techniques to wave propagation problems is the accurate representation of the singular terms at the points of application of the virtual loads It is current practice to carry out this task by means of numerical quadrate. This paper presents an analytic evaluation of the singular integrals for constant, linear and quadratic boundary elements involving SHE waves, the results of which are then used to model incisions in a two-dimensional acoustic medium illuminated by dynamic anti-plane line sources. Finally, the BEM results are compared with the known analytic solutions for cylindrical inclusions.