Some Formulas and Examples for Two-dimensional Stress Problems Solved only by Harmonic Function

Abstract

In a previous paper we considered the two-dimensional stress problems solved only by harmonic function. Applying same method, in this paper, some very simple formulas are obtained for the problems of infinite plate with a hole under uniform tension or shear. Thus, we can mechanically calculate the edge-stress, provided only the sorts of curvilinear coordinate are given. Numerical results are given for the stress concentration problem of the plate containing a hole represented by the function z=cosh ζ^1/2.