Dependence of the frequency spectrum of small amplitude vibrations superimposed on finite deformations of a nonlinear, cylindrical elastic body on residual stress

Handle URI:
http://hdl.handle.net/10754/597929
Title:
Dependence of the frequency spectrum of small amplitude vibrations superimposed on finite deformations of a nonlinear, cylindrical elastic body on residual stress
Authors:
Gorb, Yuliya; Walton, Jay R.
Abstract:
We 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.
Citation:
Gorb 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.
Publisher:
Elsevier BV
Journal:
International Journal of Engineering Science
KAUST Grant Number:
KUS-C1-016-04
Issue Date:
Nov-2010
DOI:
10.1016/j.ijengsci.2010.09.002
Type:
Article
ISSN:
0020-7225
Sponsors:
This 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.
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Full metadata record

DC FieldValue Language
dc.contributor.authorGorb, Yuliyaen
dc.contributor.authorWalton, Jay R.en
dc.date.accessioned2016-02-25T12:59:03Zen
dc.date.available2016-02-25T12:59:03Zen
dc.date.issued2010-11en
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.en
dc.identifier.issn0020-7225en
dc.identifier.doi10.1016/j.ijengsci.2010.09.002en
dc.identifier.urihttp://hdl.handle.net/10754/597929en
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.en
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.en
dc.publisherElsevier BVen
dc.subjectIVUSen
dc.subjectNeo-Hookeanen
dc.subjectNonlinear elasticityen
dc.subjectResidual stressen
dc.subjectSmall amplitude high frequency time harmonic vibrationsen
dc.subjectVulnerable and stable atherosclerotic plaqueen
dc.titleDependence of the frequency spectrum of small amplitude vibrations superimposed on finite deformations of a nonlinear, cylindrical elastic body on residual stressen
dc.typeArticleen
dc.identifier.journalInternational Journal of Engineering Scienceen
dc.contributor.institutionUniversity of Houston, Houston, United Statesen
dc.contributor.institutionTexas A and M University, College Station, United Statesen
kaust.grant.numberKUS-C1-016-04en
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