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Impedance of a sphere oscillating in an elastic medium with and without slip

2006/01/10 by Andrew N. Norris · 2 citations
Engineering · Physics and Astronomy · #Elasticity and Wave Propagation #Geotechnical and Geomechanical Engineering #Thermoelastic and Magnetoelastic Phenomena #cond-mat.soft

paper · pdf · doi:10.1121/1.2171526

published as J. Acoust. Soc. Am. 119(4), 2062-2066, 2006. · 10 pages, 2 figures

arxiv created 2006/01/10 · openalex publication_date 2006/03/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The dynamic impedance of a sphere oscillating in an elastic medium is considered. Oestreicher's [J. Acoust. Soc. Am. 23, 707-714 (1951)] formula for the impedance of a sphere bonded to the surrounding medium can be expressed in a relatively simple form in terms of three lumped impedances associated with the displaced mass and the longitudinal and transverse waves. If the surface of the sphere slips while the normal velocity remains continuous, the impedance formula is modified by adjusting the definition of the transverse impedance to include the interfacial impedance.

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