Integral theorems in linear elastodynamics

P.L. Iske and B.U. Felderhof

Physica A: Statistical Mechanics and its Applications, 1993, vol. 199, issue 3, 599-618

Abstract: We derive ‘antenna theorems’ in elastodynamics for the displacement field generated by a force density located at a spherical surface. On the basis of these theorems we derive an expression for an integral of the Green's function of linear elastodynamics. The integral corresponds to the so-called overlap kernel, which plays a key role in the cluster-expansion approach in the statistical theory of elastic suspensions of spherical particles. In elastostatics, the integral is closely related to mean-field expressions for the effective elastic moduli. A factorized form of the overlap kernel in terms of vector spherical waves is derived.

Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:199:y:1993:i:3:p:599-618

DOI: 10.1016/0378-4371(93)90070-K

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