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Effects of various factors on interfacial stresses in composites

Ajit Mal (UCLA), Jungki Lee (Hongik University, Korea)

Prager Medal Symposium in honor of George Weng: Micromechanics, Composites and Multifunctional Materials

Wed 1:30 - 2:50

MacMillan 117

A volume integral equation method (VIEM) is introduced for the solution of elastostatic problems in an unbounded isotropic elastic solid containing multiple elliptical inclusions of arbitrary orientation subject to uniform stress at infinity. The inclusions are assumed to be ong 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. A detailed analysis of the stress field at the matrix-inclusion interface for square and hexagonal packing arrays is carried out, taking into account different values for the number, aspect ratio, orientation angles 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.