Show simple item record

dc.contributor.authorDestrade, Michel
dc.date.accessioned2014-11-17T12:25:14Z
dc.date.available2014-11-17T12:25:14Z
dc.date.issued2013-12-10
dc.identifier.citationP. Ciarletta, M. Destrade (2014) 'Torsion instability of soft solid cylinders'. Ima Journal Of Applied Mathematics, Special Issue In Honour Of R.W. Ogden, 79 :804-819.en_US
dc.identifier.issn0272-4960/
dc.identifier.urihttp://hdl.handle.net/10379/4736
dc.descriptionJournal articleen_US
dc.description.abstractThe application of pure torsion to a long and thin cylindrical rod is known to provoke a twisting instability, evolving from an initial kink to a knot. In the torsional parallel-plate rheometry of stubby cylinders, the geometrical constraints impose zero displacement of the axis of the cylinder, preventing the occurrence of such twisting instability. Under these experimental conditions, wrinkles occur on the cylinder's surface at a given critical angle of torsion. Here we investigate this subclass of elastic instability which we call torsion instability of soft cylinders subject to a combined finite axial stretch and torsion, by applying the theory of incremental elastic deformation superimposed on finite strains. We formulate the incremental boundary elastic problem in the Stroh differential form, and use the surface impedance method to build a robust numerical procedure for deriving the marginal stability curves. We present the results for a Mooney Rivlin material and study the influence of the material parameters on the elastic bifurcation.en_US
dc.formatapplication/pdfen_US
dc.language.isoenen_US
dc.publisherOxford Open Journalsen_US
dc.relation.ispartofIma Journal Of Applied Mathematics, Special Issue In Honour Of R.W. Ogdenen
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Ireland
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/3.0/ie/
dc.subjectElastic stabilityen_US
dc.subjectTorsionen_US
dc.subjectStroh formulationen_US
dc.subjectSurface impedanceen_US
dc.subjectCentral-impedance matrixen_US
dc.titleTorsion instability of soft solid cylindersen_US
dc.typeArticleen_US
dc.date.updated2014-11-15T12:40:00Z
dc.identifier.doi10.1093/imamat/hxt052
dc.local.publishedsourcehttp://dx.doi.org/10.1093/imamat/hxt052en_US
dc.description.peer-reviewedpeer-reviewed
dc.contributor.funder|~|IRC|~|
dc.internal.rssid7644109
dc.local.contactMichel Destrade, Room C202 Áras De Brún, School Of Mathematics, Nui Galway. Email: michel.destrade@nuigalway.ie
dc.local.copyrightcheckedNo
dc.local.versionPUBLISHED
nui.item.downloads553


Files in this item

Thumbnail
Thumbnail

This item appears in the following Collection(s)

Show simple item record

Attribution-NonCommercial-NoDerivs 3.0 Ireland
Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivs 3.0 Ireland