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European Journal of Mechanics – A/Solids, Volume 44, l 2014, Pages 17-40.
Jungki Lee, Sangmin Oh, Ajit Mal.
Department of Mechanical and Design Engineering, Hongik University, 2639, Sejong-ro, Jochiwon-eup, Sejong City 339-701, Republic of Korea and
Department of Mechanical and Aerospace Engineering, University of California, Los Angeles, CA 90095-1597, USA
Abstract
A volume integral equation method (VIEM) is used to study elastostatic problems in an unbounded elastic solid containing multiple elliptical inclusions of arbitrary orientation subject to uniform tensile stress at infinity. The inclusions are assumed to be long parallel elliptical cylinders composed of isotropic or anisotropic elastic materials and perfectly bonded to the isotropic matrix. The solid is assumed to be under plane strain on the plane normal to the cylinders. In contrast to previous studies cited in this paper where only one or a few specific types of inclusions were considered, a detailed analysis of the stress field at the matrix-inclusion interface for square and hexagonal packing arrays is carried out herein, taking into account different values for the number, aspect ratio, orientation angle and concentration of the elliptical inclusions. The accuracy and efficiency of the method are examined through comparison with results obtained from analytical and finite element methods.
