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Original Articles

The reciprocal theorem and rigid spherical inclusion vis-à-vis certain point singularities

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Pages 5129-5142 | Received 27 May 2007, Accepted 12 Aug 2007, Published online: 09 Oct 2007
 

Abstract

The elastic interaction of certain point singularities with a rigid spherical inclusion embedded into an otherwise infinite elastic medium is investigated. The particular singularities considered are point force, force-dipole (with and without moment), centre of dilatation and concentrated moment. In each case, simple, closed form expressions are deduced by application of Betti's reciprocal theorem for the net force and net torque acting on the inclusion.

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