Abstract
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 and S. Moriguchi. As a first step, stress function FX (x, y;x0, y0) 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 FXH (x, y;x0, y0) 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 in the field of welding dynamics.In order to derive stress function Fεx* (x, y;x0, y0) for unit initial strain ε*x atpoint (x0, y0), 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.
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