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dc.contributor.authorGorb, Yuliya
dc.contributor.authorWalton, Jay R.
dc.date.accessioned2016-02-25T12:59:03Z
dc.date.available2016-02-25T12:59:03Z
dc.date.issued2010-11
dc.identifier.citationGorb Y, Walton JR (2010) Dependence of the frequency spectrum of small amplitude vibrations superimposed on finite deformations of a nonlinear, cylindrical elastic body on residual stress. International Journal of Engineering Science 48: 1289–1312. Available: http://dx.doi.org/10.1016/j.ijengsci.2010.09.002.
dc.identifier.issn0020-7225
dc.identifier.doi10.1016/j.ijengsci.2010.09.002
dc.identifier.urihttp://hdl.handle.net/10754/597929
dc.description.abstractWe model and analyze the response of nonlinear, residually stressed elastic bodies subjected to small amplitude vibrations superimposed upon large deformations. The problem derives from modeling the use of intravascular ultrasound (IVUS) imaging to interrogate atherosclerotic plaques in vivo in large arteries. The goal of this investigation is twofold: (i) introduce a modeling framework for residual stress that unlike traditional Fung type classical opening angle models may be used for a diseased artery, and (ii) investigate the sensitivity of the spectra of small amplitude high frequency time harmonic vibrations superimposed on a large deformation to the details of the residual stress stored in arteries through a numerical simulation using physiologic parameter values under both low and high blood pressure loadings. The modeling framework also points the way towards an inverse problem using IVUS techniques to estimate residual stress in healthy and diseased arteries. © 2010 Elsevier Ltd. All rights reserved.
dc.description.sponsorshipThis publication is based on work supported in part by Award No. KUS-C1-016-04, made by King Abdullah University of Science and Technology (KAUST). The work of Y. Gorb was partially supported by NSF grants DMS-0811180 and DMS-1016531.
dc.publisherElsevier BV
dc.subjectIVUS
dc.subjectNeo-Hookean
dc.subjectNonlinear elasticity
dc.subjectResidual stress
dc.subjectSmall amplitude high frequency time harmonic vibrations
dc.subjectVulnerable and stable atherosclerotic plaque
dc.titleDependence of the frequency spectrum of small amplitude vibrations superimposed on finite deformations of a nonlinear, cylindrical elastic body on residual stress
dc.typeArticle
dc.identifier.journalInternational Journal of Engineering Science
dc.contributor.institutionUniversity of Houston, Houston, United States
dc.contributor.institutionTexas A and M University, College Station, United States
kaust.grant.numberKUS-C1-016-04


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