Abstract
Abstract
In this paper, we introduce a numerical boundary integral approach to study mechanical problems of curvilinear boundaries, multi-materials and fractures of solids and structures. Based on the equations of the eigensolution expansion and the weight functions of the basic solutions, the integral weighted equations of the undetermined coefficients can be set up by using the boundary conditions and the continuity conditions between different materials. Due to the completeness of the solution space and the independent property between the eigensolutions, the existence and the uniqueness of the solution of the boundary integral equations are seriously guaranteed. Therefore, the problems can be solved numerically by this approach.