Use of fundamental solutions in the collocation method in axisymmetric elastostatics

Abstract A method referred to as the fundamental collocation method is applied to problems of axisymmetric elastostatics. In the method the governing field equations are satisfied exactly using fundamental solutions corresponding to concentrated forces while the boundary conditions are satisfied approximately using an overdeterminate collocation technique. Numerical results are given for two stress concentration problems. The paper is concluded by a critical discussion of the merits of the method.