Symmetric Galerkin Boundary Element Metod for 3D analysis

Abstract

The mixed boundary value problem is dealt with by Galerkin approach in 3D linear elasticity via a system of boundary integral equations. This paper presents a method for computing a solving system coefficient made up of double surface integrals with hypersingular kernel. This method employs the Schwartz distribution theory in order to obtain the closed form of the first surface integration which represents the traction. The successive surface integration of the weighed traction having a kernel with logarithmic singularity uses known numerical techniques. This formulation requires C° continuity of shape functions modelling the source represented by the displacement discontinuity.