Solution for null field CVBIE in plane elasticity using an accurate shape function

This paper provides a numerical solution for null field complex variable boundary integral equation (CVBIE) in plane elasticity. All kernels in the null field CVBIE are regular function. An accurate shape function for the displacement and traction along the contour is suggested. With the usage of suggested shape function, a discretization for the boundary integral equation (BIE) is carried out. The Dirichlet and the Neumann boundary value problems (BVPs) for the interior region and the exterior region are studied. Two numerical examples are provided in the paper. It is shown that a higher accuracy has been achieved in the examples with the usage of the suggested shape function.