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dc.contributor.authorNí Annaidh, Aisling
dc.contributor.authorDestrade, Michel
dc.contributor.authorGilchrist, M.
dc.contributor.authorMurphy, J.G.
dc.date.accessioned2016-03-02T13:44:39Z
dc.date.available2016-03-02T13:44:39Z
dc.date.issued2013-08
dc.identifier.citationAnnaidh, AN,Destrade, M,Gilchrist, MD,Murphy, JG (2013) 'Deficiencies in numerical models of anisotropic nonlinearly elastic materials'. Biomechanics And Modeling In Mechanobiology, 12 :781-791.en_IE
dc.identifier.issn1617-7940
dc.identifier.urihttp://hdl.handle.net/10379/5588
dc.description.abstractIncompressible nonlinearly hyperelastic materials are rarely simulated in finite element numerical experiments as being perfectly incompressible because of the numerical difficulties associated with globally satisfying this constraint. Most commercial finite element packages therefore assume that the material is slightly compressible. It is then further assumed that the corresponding strain-energy function can be decomposed additively into volumetric and deviatoric parts. We show that this decomposition is not physically realistic, especially for anisotropic materials, which are of particular interest for simulating the mechanical response of biological soft tissue. The most striking illustration of the shortcoming is that with this decomposition, an anisotropic cube under hydrostatic tension deforms into another cube instead of a hexahedron with non-parallel faces. Furthermore, commercial numerical codes require the specification of a 'compressibility parameter' (or 'penalty factor'), which arises naturally from the flawed additive decomposition of the strain-energy function. This parameter is often linked to a 'bulk modulus', although this notion makes no sense for anisotropic solids; we show that it is essentially an arbitrary parameter and that infinitesimal changes to it result in significant changes in the predicted stress response. This is illustrated with numerical simulations for biaxial tension experiments of arteries, where the magnitude of the stress response is found to change by several orders of magnitude when infinitesimal changes in 'Poisson's ratio' close to the perfect incompressibility limit of 1/2 are made.en_IE
dc.formatapplication/pdfen_IE
dc.language.isoenen_IE
dc.publisherSpringeren_IE
dc.relation.ispartofBiomechanics And Modeling In Mechanobiologyen
dc.subjectNonlinear soft tissuesen_IE
dc.subjectAnisotropyen_IE
dc.subjectAdditive decompositionen_IE
dc.subjectFinite element simulationsen_IE
dc.subjectArterial wallen_IE
dc.subjectFinite elasticityen_IE
dc.subjectCompressibilityen_IE
dc.subjectRubberen_IE
dc.subjectMechanicsen_IE
dc.subjectSkinen_IE
dc.titleDeficiencies in numerical models of anisotropic nonlinearly elastic materialsen_IE
dc.typeArticleen_IE
dc.date.updated2015-10-09T08:20:33Z
dc.identifier.doi10.1007/s10237-012-0442-3
dc.local.publishedsourcehttp://link.springer.com/article/10.1007%2Fs10237-012-0442-3#page-1en_IE
dc.description.peer-reviewedpeer-reviewed
dc.contributor.funder|~|
dc.internal.rssid4881053
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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