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dc.contributor.authorGower, Artur Lewis
dc.contributor.authorDestrade, Michel
dc.date.accessioned2015-12-03T14:57:48Z
dc.date.available2015-12-03T14:57:48Z
dc.date.issued2015-10-28
dc.identifier.citationGower, AL,Ciarletta, P,Destrade, M (2015) 'Initial stress symmetry and its applications in elasticity'. Proceedings Of The Royal Society A-Mathematical Physical And Engineering Sciences, 471 .en_IE
dc.identifier.issn1471-2946
dc.identifier.urihttp://hdl.handle.net/10379/5368
dc.description.abstractAn initial stress within a solid can arise to support external loads or from processes such as thermal expansion in inert matter or growth and remodelling in living materials. For this reason, it is useful to develop a mechanical framework of initially stressed solids irrespective of how this stress formed. An ideal way to do this is to write the free energy density psi in terms of initial stress tau and the elastic deformation gradient F, so we write psi = psi(F, tau). In this paper, we present a new constitutive condition for initially stressed materials, which we call the initial stress symmetry (ISS). We focus on two consequences of this condition. First, we examine how ISS restricts the possible choices of free energy densities psi = psi (F, tau) and present two examples of psi that satisfy the ISS. Second, we show that the initial stress can be derived from the Cauchy stress and the elastic deformation gradient. To illustrate, we take an example from biomechanics and calculate the optimal Cauchy stress within an artery subjected to internal pressure. We then use ISS to derive the optimal target residual stress for the material to achieve after remodelling, which links nicely with the notion of homeostasis.en_IE
dc.formatapplication/pdfen_IE
dc.language.isoenen_IE
dc.publisherThe Royal Societyen_IE
dc.relation.ispartofProceedings Of The Royal Society A-Mathematical Physical And Engineering Sciencesen
dc.subjectBiomechanicsen_IE
dc.subjectMechanicsen_IE
dc.subjectApplied mathematicsen_IE
dc.subjectResidual-stressen_IE
dc.subjectStrainen_IE
dc.subjectDeformationen_IE
dc.subjectEllipticityen_IE
dc.subjectPressureen_IE
dc.subjectGrowthen_IE
dc.subjectSolidsen_IE
dc.subjectWavesen_IE
dc.subjectAortaen_IE
dc.titleInitial stress symmetry and its applications in elasticityen_IE
dc.typeArticleen_IE
dc.date.updated2015-11-27T11:49:04Z
dc.identifier.doi10.1098/rspa.2015.0448
dc.local.publishedsourcehttp://dx.doi.org/10.1098/rspa.2015.0448en_IE
dc.description.peer-reviewedpeer-reviewed
dc.contributor.funder|~|
dc.internal.rssid10170556
dc.local.contactMichel Destrade, Room Adb-1002, Áras De Brun, School Of Mathematics, Nui Galway. 2344 Email: michel.destrade@nuigalway.ie
dc.local.copyrightcheckedNo
dc.local.versionPUBLISHED
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