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dc.contributor.authorCiarletta, P.
dc.contributor.authorDestrade, M.
dc.date.accessioned2018-09-20T16:03:19Z
dc.date.available2018-09-20T16:03:19Z
dc.date.issued2014-01-26
dc.identifier.citationCiarletta, P. Destrade, M. (2014). Torsion instability of soft solid cylinders. IMA Journal of Applied Mathematics 79 (5), 804-819
dc.identifier.issn0272-4960,1464-3634
dc.identifier.urihttp://hdl.handle.net/10379/10788
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.
dc.publisherOxford University Press (OUP)
dc.relation.ispartofIMA Journal of Applied Mathematics
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Ireland
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/3.0/ie/
dc.subjectelastic stability
dc.subjecttorsion
dc.subjectstroh formulation
dc.subjectsurface impedance
dc.subjectcentral-impedance matrix
dc.subjectelastic-materials
dc.titleTorsion instability of soft solid cylinders
dc.typeArticle
dc.identifier.doi10.1093/imamat/hxt052
dc.local.publishedsourcehttps://academic.oup.com/imamat/article-pdf/79/5/804/1895078/hxt052.pdf
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Attribution-NonCommercial-NoDerivs 3.0 Ireland
Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivs 3.0 Ireland