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1報, 基礎の理論と境界条件の満足度の検討

概要

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In this paper, numerical solutions of singular integral equations of the body force method in notch problems are discussed. The stress field due to a point force in a body is used as a fundamental solution. Then, the problems are formulated as a system of singular integral equations with Cauchy-type singularities. The unknown functions of the body force densities which satisfy the boundary conditions are approximated by means of the products of the fundamental density functions and polynomials. The accuracy of the present analysis is verified by comparison with the results obtained by the previous method where the unknown functions are approximated by the products of the fundamental density functions and stepped functions. The present method is found to give accurate stress distribution along the notch boundary with short CPU time.
一般社団法人日本機械学会の論文
1992-11-25