曲げ応力場におけるだ円形介在物および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 deals with interaction problems of elliptical and ellipsoidal inclusions under bending using singular integral equations of the body force method.These problems are formulated as a system of singular integral equations with Cauchy-type or logarithmic-type singularities, where unknown functions are densities of body forces distributed in the χ, y and r, θ, z directions in infinite bodies having the same elastic constants as those of the matrix and inclusions.In order to satisfy the boundary conditions along the elliptical and the ellipsoidal boundaries, the unknown functions are approximated by a linear combination of fundamental density functions and polynominals.The present method is found to yield the exact solutions for an elliptical and spherical inclusion under bending.Also , the present method yields rapidly converging numerical results for interface stresses in the interaction of inclusions.
一般社団法人日本機械学会の論文
2000-01-25