Complex variable bem solution for half-plane problems with straight boundary clamped

In this paper\ a new complex variable fundamental solution which satis_es the clamped boundary con! ditions of half!plane problem has been derived by use of Riemann!Schwarz symmetric principle and the mathematical theory of elasticity[ The correspondent complex variable boundary integral equations for elastic analysis have been given[ Numerical procedure shows more e.ciency and advantages of the present method over conventional boundary element method