Handle URI:
http://hdl.handle.net/10754/599061
Title:
On the mechanical stability of growing arteries
Authors:
Goriely, A.; Vandiver, R.
Abstract:
Arteries are modelled, within the framework of non-linear elasticity, as incompressible two-layer cylindrical structures that are residually stressed through differential growth. These structures are loaded by an axial force, internal pressure and have non-linear, anisotropic, hyperelastic response to stresses. Parameters for this model are directly related to experimental observations. The possible role of axial residual stress in regulating stress in arteries and preventing buckling instabilities is investigated. It is shown that axial residual stress lowers the critical internal pressure leading to buckling and that a reduction of axial loading may lead to a buckling instability which may eventually lead to arterial tortusity. © 2010 The Author. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.
Citation:
Goriely A, Vandiver R (2010) On the mechanical stability of growing arteries. IMA Journal of Applied Mathematics 75: 549–570. Available: http://dx.doi.org/10.1093/imamat/hxq021.
Publisher:
Oxford University Press (OUP)
Journal:
IMA Journal of Applied Mathematics
KAUST Grant Number:
KUK-C1-013-04
Issue Date:
22-Apr-2010
DOI:
10.1093/imamat/hxq021
Type:
Article
ISSN:
0272-4960; 1464-3634
Sponsors:
King Abdullah University of Science and Technology (KUK-C1-013-04); National Science Foundation(DMS-0907773 to A.G.). The authors have also benefited from discussion with Michel Destrade.
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorGoriely, A.en
dc.contributor.authorVandiver, R.en
dc.date.accessioned2016-02-25T13:52:07Zen
dc.date.available2016-02-25T13:52:07Zen
dc.date.issued2010-04-22en
dc.identifier.citationGoriely A, Vandiver R (2010) On the mechanical stability of growing arteries. IMA Journal of Applied Mathematics 75: 549–570. Available: http://dx.doi.org/10.1093/imamat/hxq021.en
dc.identifier.issn0272-4960en
dc.identifier.issn1464-3634en
dc.identifier.doi10.1093/imamat/hxq021en
dc.identifier.urihttp://hdl.handle.net/10754/599061en
dc.description.abstractArteries are modelled, within the framework of non-linear elasticity, as incompressible two-layer cylindrical structures that are residually stressed through differential growth. These structures are loaded by an axial force, internal pressure and have non-linear, anisotropic, hyperelastic response to stresses. Parameters for this model are directly related to experimental observations. The possible role of axial residual stress in regulating stress in arteries and preventing buckling instabilities is investigated. It is shown that axial residual stress lowers the critical internal pressure leading to buckling and that a reduction of axial loading may lead to a buckling instability which may eventually lead to arterial tortusity. © 2010 The Author. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.en
dc.description.sponsorshipKing Abdullah University of Science and Technology (KUK-C1-013-04); National Science Foundation(DMS-0907773 to A.G.). The authors have also benefited from discussion with Michel Destrade.en
dc.publisherOxford University Press (OUP)en
dc.subjectarteriesen
dc.subjectgrowthen
dc.subjectnon-linear deformationen
dc.subjectresidual stressen
dc.titleOn the mechanical stability of growing arteriesen
dc.typeArticleen
dc.identifier.journalIMA Journal of Applied Mathematicsen
dc.contributor.institutionUniversity of Oxford, Oxford, United Kingdomen
dc.contributor.institutionUniversity of Arizona, Tucson, United Statesen
kaust.grant.numberKUK-C1-013-04en
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