A direct method for deriving fundamental solution of half-plane problem

A fundamental solution for half-plane problems which will play a key role in calculation of the stress concentration around a hole embedded in half-plane is derived by a method combining images with direct integrations. It is more intuitive than the Fourier transform method used by Gladwell^6]. In addition, the principle and procedure of boundary element method to solve the half-plane problems are also presented by means of Betti's reciprocal theorem in this paper. It is shown that the computing procedure for half-plane problems is much more convenient using the fundamental solution presented here than the one adopted by C.A. Brebbia^1]. First Recceived Dec. 7, 1982