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dc.contributor.authorOlley, Peter*
dc.date.accessioned2008-09-01T14:25:16Z
dc.date.available2008-09-01T14:25:16Z
dc.date.issued2006
dc.identifier.citationOlley P (2006) A cauchy-stress based solution for a necking elastic constitutive model under large deformation. International Journal for Numerical Methods in Engineering. 65(7): 1068-1087.
dc.identifier.urihttp://hdl.handle.net/10454/523
dc.description.abstractA finite element based method for solution of large-deformation hyperelastic constitutive models is developed, which solves the Cauchy-stress balance equation using a single rotation of stress from principal directions to a fixed co-ordinate system. Features of the method include stress computation by central differencing of the hyperelastic energy function, mixed integration-order incompressibility enforcement, and an iterative solution method that employs notional `small strain¿ stiffness. The method is applied to an interesting and difficult elastic model that replicates polymer `necking¿; the method is shown to give good agreement with published results from a well-established finite element package, and with published experimental results. It is shown that details of the manner in which incompressibility is enforced affects whether key experimental phenomena are clearly resolved.en_US
dc.language.isoenen_US
dc.subjectFinite element solutionen_US
dc.subjectHyperelasticen_US
dc.subjectNeckingen_US
dc.subjectLarge Deformationen_US
dc.titleA cauchy-stress based solution for a necking elastic constitutive model under large deformationen_US
dc.status.refereedYesen_US
dc.typeArticleen_US
dc.identifier.doihttps://doi.org/10.1002/nme.1473


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