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dc.contributor.authorDestrade, Michel
dc.date.accessioned2013-03-12T11:31:18Z
dc.date.available2013-03-12T11:31:18Z
dc.date.issued2008
dc.identifier.citationDESTRADE, M., SACCOMANDI, G. (2008) 'Nonlinear transverse waves in deformed dispersive solids'. Wave Motion, Special Issue in Honour of J. Achenbach, 45 :325-336.en_US
dc.identifier.issn0165-2125
dc.identifier.urihttp://hdl.handle.net/10379/3295
dc.description.abstractWe present a phenomenological approach to dispersion in nonlinear elasticity. A simple, thermomechanically sound, constitutive model is proposed to describe the (non-dissipative) properties of a hyperelastic dispersive solid, without recourse to a microstructure or a special geometry. As a result, nonlinear and dispersive waves can travel in the bulk of such solids, and special waves emerge, some classic (periodic waves or pulse solitary waves of infinite extend), some exotic (kink or pulse waves of compact support). We show that for incompressible dispersive power-law solids and fourth-order elasticity solids, solitary waves can, however, only exist in the case of linear transverse polarization. We also study the influence of pre-stretch and hardening. We provide links with other (quasi-continuum, asymptotic) theories; in particular, an appropriate asymptotic multiscale expansion specializes our exact equations of motion to the vectorial MKdV equation, for any hyperelastic material.en_US
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.relation.ispartofWave Motion, Special Issue in Honour of J. Achenbachen
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Ireland
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/3.0/ie/
dc.subjectNonlinear waves in solidsen_US
dc.subjectDispersive hyperelasticityen_US
dc.subjectCompact wavesen_US
dc.titleNonlinear transverse waves in deformed dispersive solidsen_US
dc.typeArticleen_US
dc.date.updated2012-12-22T00:01:11Z
dc.identifier.doihttp://dx.doi.org/10.1016/j.wavemoti.2007.07.002
dc.local.publishedsourcehttp://dx.doi.org/10.1016/j.wavemoti.2007.07.002en_US
dc.description.peer-reviewedpeer-reviewed
dc.contributor.funder|~|
dc.internal.rssid1161572
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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Attribution-NonCommercial-NoDerivs 3.0 Ireland
Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivs 3.0 Ireland