Faxen relations in solids - a generalized approach to particle motion in elasticity and viscoelasticity

Details Faxen relations in solids - a generalized approach to particle motion in elasticity and viscoelasticity Faxen relations in solids - a generalized approach to particle motion in elasticity and viscoelasticity

2007-07-17

arxiv.org/abs/0707.2558v2

J. Acoust. Soc. Am. 123 (1), 99-108, 2008.

Physics

Condensed Matter

Materials Science

11 pages, 4 figures

Scientific paper

10.1121/1.2817359

A movable inclusion in an elastic material oscillates as a rigid body with six degrees of freedom. Displacement/rotation and force/moment tensors which express the motion of the inclusion in terms of the displacement and force at arbitrary exterior points are introduced. Using reciprocity arguments two general identities are derived relating these tensors. Applications of the identities to spherical particles provide several new results, including simple expressions for the force and moment on the particle due to plane wave excitation.

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