抄録
Not a few studies on Boundary Element Method have been reported to get the numerical solutions of elasticity problems. There are two kinds of Boundary Element Method named Indirect Method and Direct Method which based on each foundamental formula leaded from the superposition of principal solutions and the boundary integral equation respectively. In this paper the analytical formulas are presented for the integral values of the two dimensional elasticity principal solution along the boundary element on which the traction distributes constantly and the displacement distributes linearly. Some Indirect and Direct Boundary Element Method programs for two dimensional elasticity problems, using the analytical formulas presented, are proposed and the usefulness of the method is examined by solving some representative problems. The very accurate solution might be resulted by Direct Boundary Element Method using the element on which the displacement distributes by a dimension higher than the traction. Concerning with the proposed Direct Boundary Element Method, on which boundary element the displacement is linear and the traction is constant, solutions with reasonable precision are calculated on several problems but sometimes considerable errors in the results are indicated on the problems which boundary conditions are given by the traction and the displacement together. All the solutions calculated by proposed Indirect Boundary Element Method on the analytical model on which enough number of boundary elements created have the gratifying exactitude.
