Two-dimensional linear elasticity by the boundary node metho

This paper presents a further development of the Boundary Node Method "BNM# for 1!D linear elasticity[ In this work\ the Boundary Integral Equations "BIE# for linear elasticity have been coupled with Moving Least Square "MLS# interpolants^ this procedure exploits the mesh!less attributes of the MLS and the dimensionality advantages of the BIE[ As a result\ the BNM requires only a nodal data structure on the bounding surface of a body[ A cell structure is employed only on the boundary in order to carry out numerical integration[ In addition\ the MLS interpolants have been suitably truncated at corners in order to avoid some of the oscillations observed while solving potential problems by the BNM "Mukherjee and Mukherjee\ 0886a#[ Numerical results presented in this paper\ including those for the solution of the Lame and Kirsch problems\ show good agreement with analytical solutions