610 直交異方性母相中の不均質物の応力解析のための数値的な等価介在物法の開発(OS4-(3)オーガナイズドセッション《材料と組織》)

概要

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We propose a numerical method for the stress analysis of arbitrary-shaped inhomogeneities in an infinite orthotropic matrix. The theory of the method is based on the Eshelby's equivalent inclusion method. First, we replace the inhomogeneities into equivalent inclusions bearing equivalent non-uniform eigenstrains. Using the principle of superposition, and assuming the piecewise uniform eigenstrain distributions, we subdivide the equivalent inclusions into small polygonal (for 2D problems) / polyhedral (for 3D problems) inclusions bearing uniform but unknown eigenstrains. The elastic field caused by each small inclusion is obtained by the numerical integration of the Green's function. Finally, the problem is reduced to a set of simultaneous equations for the unknown uniform eigenstrains. The results obtained by the present method are compared with those obtained by the boundary element method for some example problems and the accuracy and efficiency of the method are discussed in detail.
一般社団法人日本機械学会の論文
2011-08-26