任意個の一列菱形介在物の干渉効果の解析

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  • Analysis of Interaction Effect of a Row of Diamond-Shaped Inclusions.
  • ニンイコ ノ イチレツ ヒシガタ カイザイブツ ノ カンショウ コウカ ノ カ

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This study deals with a row of equally spaced diamond-shaped inclusions with angular corners under various loading conditions. The problems are formulated as a system of singular integral equations with Cauchy-type or logarithmic-type singularities, where the unknows functions are the densities of body forces distributed in infinite plates having the same elastic constants as those of the matrix and inclusions. In order to analyze the problems accurately, 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 represent the symmetric stress singularity of 1/γ1-λ1 and the skew-symmetric stress singularity of 1/γ1-λ2. Then, newly defined stress intensity factors of angular corners are systematically calculated for various shapes, spacings, elastic constants and numbers of diamond-shaped inclusions in a plate subjected to uniaxial tension, biaxial tension and in-plane shear. For all types of diamond-shaped inclusions, the stress intensity factor is shown to be linearly related to the reciprocal of the number of diamond-shaped inclusions.

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