The use of complex integral representations for analytical evaluation of three-dimensional BEM integrals--potential and elasticity problems

The article presents a new complex variables-based approach for analytical evaluation of three-dimensional integrals involved in boundary element method (BEM) formulations. The boundary element is assumed to be planar and its boundary may contain an arbitrary number of straight lines and/or circular arcs. The idea is to use BEM integral representations written in a local coordinate system of an element, separate in-plane components of the fields...