Stress Concentration at Interacting Spherical Inclusions in a Transversely Isotropic Body |
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Authors: | V I Kushch |
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Institution: | (1) Institute of Superhard Materials, National Academy of Sciences of Ukraine, Kiev, Russia |
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Abstract: | An elastic-equilibrium problem is rigorously solved for a transversely isotropic body containing a finite number of arbitrarily arranged and oriented transversely isotropic spherical inclusions or an infinite periodic array of such inclusions. The solution is found based on the superposition principle for general solutions of single-particle problems and the addition theorems for partial vector solutions of the elastic equilibrium equations. The numerical results presented allow assessing the influence of matrix anisotropy on the stress concentration between inclusions |
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Keywords: | elasticity spherical inclusion transverse isotropy superposition principle partial vector solutions addition theorems stress concentration |
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