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dc.contributor.authorDestrade, Michel
dc.date.accessioned2013-03-11T12:06:39Z
dc.date.available2013-03-11T12:06:39Z
dc.date.issued2009
dc.identifier.citationDESTRADE, M., SACCOMANDI, G., SGURA, I. (2009) 'Inhomogeneous shear of orthotropic incompressible non-linearly elastic solids: Singular solutions and biomechanical interpretation'. International Journal of Engineering Science, Special Issue in Memory of A.J.M. Spencer, 47 :1170-1181.en_US
dc.identifier.issn0020-7225
dc.identifier.urihttp://hdl.handle.net/10379/3291
dc.description.abstractWe present a detailed study of rectilinear shear deformation in the framework of orthotropic nonlinear elasticity, under Dirichlet and mixed-boundary conditions. We take a slab made of a soft matrix, reinforced with two families of extensible fibers. We consider the case where the shear occurs along the bissectrix of the angle between the two privileged directions aligned with the fibers. We show that if the two families of parallel fibers are mechanically equivalent, then only smooth solutions are possible, whereas if the mechanical differences among the two families of fibers is pronounced, then strain singularities may develop. We determine the precise conditions for the existence of such singular solutions for the standard reinforcing orthotropic model. We then extend our findings to some orthotropic models of interest in biomechanical applications, and we discuss the possible relevance of the singular solutions to biomechanics.en_US
dc.formatapplication/pdfen_US
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.relation.ispartofInternational Journal of Engineering Science, Special Issue in Memory of A.J.M. Spenceren
dc.subjectRectilinear shear deformationen_US
dc.subjectOrthotropic nonlinear elasticityen_US
dc.titleInhomogeneous shear of orthotropic incompressible non-linearly elastic solids: Singular solutions and biomechanical interpretationen_US
dc.typeArticleen_US
dc.date.updated2012-12-21T23:56:07Z
dc.identifier.doihttp:/dx.doi.org/10.1016/j.ijengsci.2008.12.016.
dc.local.publishedsourcehttp://dx.doi.org/10.1016/j.ijengsci.2008.12.016en_US
dc.description.peer-reviewedpeer-reviewed
dc.contributor.funder|~|
dc.internal.rssid1161494
dc.local.contactMichel Destrade, Room C202 Áras De Brún, School Of Mathematics, Nui Galway. Email: michel.destrade@nuigalway.ie
dc.local.copyrightcheckedNo
dc.local.versionUPDATED
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