On the Elastic Field of a Shpherical Inhomogeneity with an Imperfectly Bonded Interface

Journal of Elasticity - 1997
Z. Zhong1, S. A. Meguid1
1Engineering Mechanics and Design Laboratory, Department of Mechanical Engineering, University of Toronto, Toronto, Canada

Tóm tắt

This study is devoted to the development of a unified and explicit elastic solution to the problem of a spherical inhomogeneity with an imperfectly bonded interface. Both tangential and normal displacement discontinuities at the interface are considered and a linear interfacial condition, which assumes that the tangential and the normal displacement jumps are proportional to the associated tractions, is adopted. The elastic disturbance due to the presence of an imperfectly bonded inhomogeneity is decomposed into two parts: the first is formulated in terms of an equivalent nonuniform eigenstrain distributed over a perfectly bonded spherical inclusion, while the second is formulated in terms of an imaginary Somigliana dislocation field which models the interfacial sliding and normal separation. The exact form of the equivalent nonuniform eigenstrain and the imaginary Somigliana dislocation are fully determined in this paper.

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