複素応力関数を用いた有孔平板の弾塑性解析

概要

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The problem of stress distribution around a hole or a crack belongs to the very important one in the field of fracture mechanics. In this paper, the problem of an infinite plate with a circular or elliptic hole under simple tension was investigated. Basic equations were derived from complex stress functions introduced by E. Goursat and developed by N. I. Muskhelishvili^<l)> and S. Moriguchi^<2)>. As a first step, stress function F^X(x , y ; x_0, y_0) for a unit force in x-direction valid for a infinite plate without any discontinuity was derived. Then, by the use of principle of reflection (proposed by S. Moriguchi), the stress function F^X_H(x, y ; x_0, y_0) for a plate with a hole was deduced. Two dimensional elastic-plastic analysis was conducted by using the"Modified Initial Strain Method"introduced by T. Fujimoto^<18)> in the field of welding dynamics. In order to derive stress function F^<εx^*>(x, y ; x_0, y_0) for unit initial strain ε^*_x atpoint (x_0, y_0), the concept of thermo-elastic theory was used. The calculated results show that the applied analytical method is more useful in stress calculation than F. E. M.
社団法人日本船舶海洋工学会の論文