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dc.contributor.author
 hal.structure.identifier
YAACOUBI, Slah
27931 Laboratoire de Mécanique Physique [LMP]
dc.contributor.authorDUCASSE, Eric
dc.date.accessioned2013
dc.date.available2013
dc.date.issued2010
dc.date.submitted2013
dc.identifier.issn1875-3892
dc.identifier.urihttp://hdl.handle.net/10985/7374
dc.description.abstractA tensor Hankel transform'' (THT) is defined for vector fields, such as displacement, and second-order tensor fields, such as stress or strain. The THT establishes a bijection between the real space and the wave-vector domain, and, remarkably, cannot be reduced to a scalar transform applied separately to each component. One of the advantages of this approach is that some standard elasticity problems can be concisely rewritten by applying this tensor integral transform coupled with an azimuthal Fourier series expansion. A simple and compact formulation of the boundary conditions is also achieved. Thanks to the THT, we obtain for each azimuthal wavenumber and each azimuthal direction exactly the same wave equation as for a standard 2D model of elastic wave propagation. Thus, waves similar to the standard plane P, SV and SH waves are naturally found. Lastly, the THT is used to calculate the ultrasonic field in an isotropic cylindrical leaky waveguide, the walls of which radiating into a surrounding elastic medium, by using a standard scattering approach.
dc.language.isoen_US
dc.publisherElsevier
dc.rightsPost-print
dc.subjectCircular symmetric waveguide
dc.subjectCylindrical coordinates
dc.subjectElastic Wave Scattering
dc.subjectP, SV and SH waves
dc.subjectTensor Hankel transform
dc.subjectFourier-Bessel transform
dc.subjectHankel transform
dc.subject2D Fourier transform
dc.titleThe Hankel transform of first- and second-order tensor fields: definition and use for modeling circularly symmetric leaky waveguides.
dc.title.alternative(International Congress on Ultrasonics, Universidad de Santiago de Chile, January 2009)
dc.identifier.doi10.1016/j.phpro.2010.01.066
dc.typdocArticle dans une revue avec comité de lecture
dc.localisationCentre de Bordeaux-Talence
dc.subject.halSciences de l'ingénieur: Acoustique
dc.subject.halSciences de l'ingénieur: Mécanique
ensam.audienceInternationale
ensam.page505-514
ensam.journalPhysics Procedia
ensam.volume3
ensam.issue1
hal.identifierhal-00870570
hal.version1
hal.submission.permittedupdateFiles
hal.statusaccept


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