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Antiplane deformation of a partially bonded elliptical inclusion
Authors:MA Kattis  E Providas  Y Boutalis  A Kalamkarov
Institution:aDepartment of Mechanical and Industrial Engineering, University of Thessaly, Pedion Areos, Volos GR-383 34, Greece;bDepartment of Electrical Engineering, Democritus University of Thrace, Xanthi GR-671 00, Greece;cDepartment of Mechanical Engineering, Technical University of Nova Scotia, P.O Box 1000, Halifax, Nova Scotia, Canada B3J 2X4
Abstract:A new method that introduces two holomorphic potential functions (the two-phase potentials) is applied to analyze the antiplane deformation of an elliptical inhomogeneity partially-bonded to an infinite matrix. Elastic fields are obtained when either the matrix is subject to a uniform longitudinal shear or the inhomogeneity undergoes a uniform shear transformation. The stress field possesses the square-root singularity of a Mode III interface crack, which, in the special case of a rigid line inhomogeneity, changes in order, as the crack tip approaches the inhomogeneity end. In the latter situation the crack-tip elastic fields are linear in two real stress intensity factors related to a strong and a weak singularity of the stress field.
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