1994 年 60 巻 578 号 p. 2213-2219
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.