特異積分方程式を利用しただ円形境界からなる応力集中問題の数値解析法(2)

概要

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This paper deals with numerical solutions of singular integral equations in interaction problems of elliptical holes under general loading. The problems are formulated as a system of singular integral equations with Cauchy-type singularities, where the densities of body forces distributed in the x- and y-directions are to be unknown functions. In order to satisfy the boundary conditions along the notches, several types of fundamental density functions are proposed; then, the body densities are approximated by a linear combination of the fundamental density functions and polynomials. The accuracy of the present analysis is verified by comparing with the results obtained by the previous method. The present method is found to give rapidly converging numerical results for stress distribution along the hole boundaries.
福島工業高等専門学校の論文
2003-03-10