Two-Dimensional Elasticity in Aeolotropic Plate Solved Only by Harmonic Function : Part 1, Stress Concentration of Elliptical Hole Loaded by many Concentrated Forces

Abstract

In previous papers we dealt with the two-dimensional stress problems in isotropic plate solved only by harmonic function. The object of the present paper, however, is to show that the above solving method can be extended to the case of the orthotropic plate by means of combining with Takeuti's method and Green's. For illustrative purpose, we solved the stress concentration problems of the infinite plate with a hole ; circular hole and elliptical hole loaded with many concentrated forces acting on the periphery with arbitrary inclinations. Closed-formed expressions of the solutions are obtained by using Dirac's delta-function.