Abstract
A theoretical method to determine an optimum shape of inclusion within an elastic infinite solid, which is subjected uniformly to triaxial loading condition, is proposed. The Eshelby's solution on the elastic body with an ellipsoidal inclusion is used in the method and the optimum ratios between principal axes of the ellipsoid are determined so as to uniformalize the distribution of the stress components, normal and tangential to the boundary, of the inclusion. From the numerical results for the models with the typical elastic stiffness ratios of the inclusion to the matrix, it is appeared that the ellipsoid becomes slender according as the applied axial stress ratios become distant from unit. Furthermore, optimum shape of the elliptic inclusion in the two dimensional stress field is also determined, and the relations between the optimum ratio of principal axes of the ellipse and the applied stress are shown explicitly.
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