体積力法の特異積分方程式の数値解析による界面き裂および角部の応力拡大係数の解析

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  • Analysis of Stress Intensity Factors of Interface Cracks and Angular Corners Using the Singular Integral Equation of the Body Force Method.
  • タイセキリョクホウ ノ トクイ セキブン ホウテイシキ ノ スウチ カイセキ

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In this paper, the numerical solution of singular integral equations is discussed in the analysis of interface cracks and angular corners. The problems are formulated in terms of a system of singular integral equations on the basis of the body force method. In the case of an interface crack, the unknown functions of the body force doublet densities which satisfy the boundary conditions are approximated by the products of the fundamental density functions and power series. In the case of angular. corners, the unknown functions of the body force densities are expressed as a linear combination of two types of fundamental density functions and power series, where the fundamental density functions are chosen to express the symmetric stress singularity of 1/r1-λ1 and the skew-symmetric stress singularity of 1/r1-λ2. The accuracy of the present analysis is verified by comparing the present results with the results obtained by other researchers and examining the compliance with the boundary conditions. The calculation shows that the present method gives rapidly converging numerical results for these problems as well as for ordinary crack problems in homogeneous materials.

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