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dc.contributor.authorDestrade, Michel
dc.date.accessioned2013-01-18T10:54:27Z
dc.date.available2013-01-18T10:54:27Z
dc.date.issued2007-10-10
dc.identifier.citationDESTRADE, M., SACCOMANDI, G. (2007) 'Creep, recovery, and waves in a nonlinear fiber-reinforced viscoelastic solid'. SIAM Journal on Applied Mathematics, 68 :80-97.en_US
dc.identifier.issn1095-712X
dc.identifier.urihttp://hdl.handle.net/10379/3164
dc.descriptionJournal articleen_US
dc.description.abstractWe present a constitutive model capturing some of the experimentally observed features of soft biological tissues: nonlinear viscoelasticity, nonlinear elastic anisotropy, and nonlinear viscous anisotropy. For this model we derive the equation governing rectilinear shear motion in the plane of the fiber reinforcement; it is a nonlinear partial differential equation for the shear strain. Specializing the equation to the quasi-static processes of creep and recovery, we find that usual (exponential-like) time growth and decay exist in general, but that for certain ranges of values for the material parameters and for the angle between the shearing direction and the fiber direction, some anomalous behaviors emerge. These include persistence of a nonzero strain in the recovery experiment, strain growth in recovery, strain decay in creep, disappearance of the solution after a finite time, and similar odd comportments. For the full dynamical equation of motion, we find kink (traveling wave) solutions which cannot reach their assigned asymptotic limit.en_US
dc.formatapplication/pdfen_US
dc.language.isoenen_US
dc.publisherSociety for Industrial and Applied Mathematicsen_US
dc.relation.ispartofSIAM Journal on Applied Mathematicsen
dc.subjectNonlinear elasticityen_US
dc.titleCreep, recovery, and waves in a nonlinear fiber-reinforced viscoelastic soliden_US
dc.typeArticleen_US
dc.date.updated2012-12-22T07:15:06Z
dc.identifier.doihttp://dx.doi.org/10.1137/060664483
dc.local.publishedsourcehttp://dx.doi.org/10.1137/060664483en_US
dc.description.peer-reviewedpeer-reviewed
dc.contributor.funder|~|
dc.internal.rssid1161482
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
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