Abstract
Arbitrary shaped two dimensional elasticity problems are possible to be solved by superpositing some elementary solutions to satisfy the boundary conditions. As the electric computer advanced, the numerical process on satisfying the boundary conditions might be carried out with the required precision, and the solutions have the possibility to get the desirable accuracy. Recently not a few studies on the method for arbitrary shaped elasticity problems based on the principle of superposition were reported. In this paper the author tried to adopt some elementary solutions to go with the ones that have been reported already, and the usefulness of the method is examined by an original program. Arbitrary shaped two dimensional elasticity problems which boundary conditions are given by stresses or deformations, which is composed of several portions of different materials, and infinite elastic plate having arbitrary shaped hole under the action of an uniform load in the infinite distance are solved. On the numerical process to superpose the elementaly solutions, plural simultaneous equations are effective to reproduce the boundary conditions. The exactitude of the solution is increased by adopting several elementaly solutions in conbination with the boundary conditions. It is conjectured that the error becomes within 5 percent by the program presented except the corner of the problem. There still remains the insufficient exactitude of the solution in the corner of the problem, but the superposition of the elementary solutions is useful on arbitrary shaped two dimensional elasticity problems.
