Optimum Configuration of Discontinuity in Ship Hull Construction (4th Report) : Optimum Configuration of a Hole in an Infinity Elastic Plate under Biaxial Loading

Abstract

This report is concerned with optimum configuration of a hole from the standpoint of the minimum stress concentration in an infinity elastic plate under biaxial loading. Investigating the fundamental property of tangential stress distribution around a hole, we clarify the optimum stress distribution around a hole which have the minimum value of stress concentration ratio must be stepwise distrbution corresponding to the loading condition. We employ the conformal mapping technique in obtaining the optimum configuration of a hole having that of stress distribution. As the result of investigation, the relation between aspect ratio of hole and the minimum stress concentration ratio are shown for various biaxial loading condition. For practical use of design of a hole, we propose the simple mathematical description of hole whose stress concentration ratio is closer to the minimum value.