特異積分方程式による半だ円表面き裂先端の応力拡大係数の分布の解析

概要

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In this paper, a singular integral equation method is applied to calculate the distribution of stress intensity factor along the crack front of a 3-D semi-elliptical surface crack. The stress field induced by the body force doublet in a semi-infinite body is used as the fundamental solution. Then, the problem is formulated as an integral equation with a singularity of the form of γ^<-3>. In the numerical calculation, the unknown-function of the density of body force doublet is approximated by the product of fundamental density function and a polynomial. The smooth distributions of stress intensity factors for various aspect ratios of the surface crack are obtained by the present method. The calculation shows that the present method gives rapidly converging numerical results. The boundary condition is sufficiently satisfied throughout the crack boundary.
一般社団法人日本機械学会の論文
1995-06-25