特異積分方程式による回転だ円体状介在物の干渉効果の解析

概要

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This paper describes numerical solutions of singular integral equations of the body force method in interaction problems of ellipsoidal inclusions under uniform tension. The problems are formulated as a system of singular integral equations with Cauchy-type or logarithmic-type singularities, where the densities of body forces distributed in the r-and z-directions of infinite bodies having the same elastic constants of the matrix and inclusions are unknown functions. In order to satisfy the boundary conditions along the inclusions, eight fundamental density functions proposed in our previous paper are used. Then the body force densities are approximated by a linear combination of the fundamental density functions and polynomials. The present method is found to give rapidly converging numerical results for stress distribution along the boundaries of both the matrix and inclusions.
一般社団法人日本機械学会の論文
1995-05-25