応力集中問題における体積力法の特異積分方程式の数値解析法 : 第2報,切欠きの干渉問題の一般的解析法

概要

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This paper deals with numerical solutions of singular integral equations of the body force method in interaction problems of notches and holes under general loading conditions. 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 force 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 notch boundaries.
一般社団法人日本機械学会の論文
1993-03-25