Abstract
In this paper, it is evaluated global averages of elastic properties of Inhomogeneous Material including spherical inclusions by using a three dimensional analysis based on the finite element method. In the numerical analysis, it is assumed that particles of the same radius are arrayed in body-centered cubic, face-centered cubic, or simple cubic. The volume fraction of the material is determined by the radius of particles and number of particle par a cube. And by giving restrictions or displacements on the surfaces of the cube, the global Young's modulus and the global Poisson's ratio of the material are obtained from the reaction forces. As an example, it is considered that a material consists of epoxy and glass. The obtained results are compared with results by methods based on Eshelby's equivalent inclusion theory.
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