We develop a rigorous solution to the antiplane problem of a circular inhomogeneity embedded within an infinite isotropic elastic medium (matrix) under the assumption of nonuniform remote loading. The bonding at the inhomogeneity/matrix interface is assumed to be homogeneously imperfect. We examine both the case of a single circular inhomogeneity and the more general case of a three-phase circular inhomogeneity. General expressions for the corresponding complex potentials are derived explicitly in both the inhomogeneity and in the surrounding matrix. The analysis is based on complex variable methods. The solutions obtained demonstrate the effect of the prescribed nonuniform remote loading on the stress field within the inhomogeneity. Specific solutions are derived in closed form which are verified by comparison with existing solutions.
On an Elastic Circular Inhomogeneity With Imperfect Interface in Antiplane Shear
Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF APPLIED MECHANICS. Manuscript received by the Applied Mechanics Division, June 20, 2001; final revision, November 19, 2001. Associate Editor: H. Gao. Discussion on the paper should be addressed to the Editor, Prof. Robert M. McMeeking, Chair, Department of Mechanics and Environmental Engineering, University of California–Santa Barbara, Santa Barbara, CA 93106-5070, and will be accepted until four months after final publication in the paper itself in the ASME JOURNAL OF APPLIED MECHANICS.
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Schiavone, P. (August 16, 2002). "On an Elastic Circular Inhomogeneity With Imperfect Interface in Antiplane Shear ." ASME. J. Appl. Mech. September 2002; 69(5): 671–674. https://doi.org/10.1115/1.1488936
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