dc.contributor.author | Destrade, Michel | |
dc.date.accessioned | 2013-05-07T15:15:19Z | |
dc.date.available | 2013-05-07T15:15:19Z | |
dc.date.issued | 2004-09 | |
dc.identifier.citation | DESTRADE, M., SACCOMANDI, G. (2004) 'Finite amplitude inhomogeneous waves in Mooney-Rivlin viscoelastic solids'. Wave Motion, 40 :251-262. | en_US |
dc.identifier.issn | 0165-2125 | |
dc.identifier.uri | http://hdl.handle.net/10379/3388 | |
dc.description.abstract | New exact solutions are exhibited within the framework of finite viscoelasticity. More precisely, the solutions correspond to finite-amplitude, transverse, linearly polarized, inhomogeneous motions superposed upon a finite homogeneous static deformation. The viscoelastic body is composed of a Mooney-Rivlin viscoelastic solid, whose constitutive equation consists in the sum of an elastic part (Mooney-Rivlin hyperelastic model) and a viscous part (Newtonian viscous fluid model). The analysis shows that the results are similar to those obtained for the purely elastic case; inter alia, the normals to the planes of constant phase and to the planes of constant amplitude must be orthogonal and conjugate with respect to the B-ellipsoid, where is the left Cauchy-Green strain tensor associated with the initial large static deformation. However, when the constitutive equation is specialized either to the case of a neo-Hookean viscoelastic solid or to the case of a Newtonian viscous fluid, a greater variety of solutions arises, with no counterpart in the purely elastic case. These solutions include travelling inhomogeneous finite-amplitude damped waves and standing damped waves. | en_US |
dc.format | application/pdf | en_US |
dc.language.iso | en | en_US |
dc.publisher | Elsevier | en_US |
dc.relation.ispartof | Wave Motion | en |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Ireland | |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/3.0/ie/ | |
dc.subject | Finite-amplitude waves | en_US |
dc.subject | Mooney¿Rivlin viscoelastic material | en_US |
dc.subject | Inhomogeneous waves | en_US |
dc.subject | Exact solutions | en_US |
dc.title | Finite amplitude inhomogeneous waves in Mooney-Rivlin viscoelastic solids | en_US |
dc.type | Article | en_US |
dc.date.updated | 2012-12-22T22:45:02Z | |
dc.identifier.doi | http://dx.doi.org/10.1016/j.wavemoti.2004.04.001 | |
dc.local.publishedsource | http://dx.doi.org/10.1016/j.wavemoti.2004.04.001 | en_US |
dc.description.peer-reviewed | peer-reviewed | |
dc.contributor.funder | |~| | |
dc.internal.rssid | 1161489 | |
dc.local.contact | Michel Destrade, Room C202 Áras De Brún, School Of Mathematics, Nui Galway. Email: michel.destrade@nuigalway.ie | |
dc.local.copyrightchecked | No | |
dc.local.version | PUBLISHED | |
nui.item.downloads | 620 | |