Uniform antiplane shear stress inside an anisotropic elastic inclusion of arbitrary shape with perfect or imperfect interface bonding |
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Authors: | TCT Ting |
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Affiliation: | a Division of Mechanics and Computation, Stanford University, Durand 262, Stanford, CA 94305, USA b Department of Mechanical Engineering, University of Alberta, Edmonton, Alberta, Canada T6G 2G8 |
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Abstract: | We consider an anisotropic elastic inclusion of arbitrary shape embedded inside an infinite dissimilar anisotropic elastic medium (matrix) subjected to a uniform antiplane shear loading at infinity. In contrast to the corresponding results from linear isotropic elasticity, we show that for certain anisotropic materials, despite the limitation of perfect bonding between the inclusion and its surrounding matrix, it is possible to design an arbitrarily shaped (not necessarily elliptic) inclusion so that the interior stress distribution is uniform provided the shear stress in the matrix (of dissimilar anisotropic material) is also uniform. Further, in the case when the bonding between the inclusion and the matrix is assumed to be imperfect, we show that for the stress distribution inside the inclusion to be uniform, the inclusion must be elliptical. |
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Keywords: | Anisotropic Antiplane shear Inclusion Perfect bonding Imperfect bonding Uniform stress |
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