dc.contributor.author | Destrade, Michel | |
dc.date.accessioned | 2013-01-18T14:43:29Z | |
dc.date.available | 2013-01-18T14:43:29Z | |
dc.date.issued | 2006-11-10 | |
dc.identifier.citation | OTTENIO, M., DESTRADE, M., OGDEN, R.W. (2007) 'Acoustic waves at the interface of a pre-stressed incompressible elastic solid and a viscous fluid'. International Journal of Non-Linear Mechanics, Special Issue in Honour of R.S. Rivlin, 42 :310-320. | en_US |
dc.identifier.issn | 0020-7462 | |
dc.identifier.uri | http://hdl.handle.net/10379/3170 | |
dc.description | Journal article | en_US |
dc.description.abstract | We analyse the influence of pre-stress on the propagation of interfacial waves along the boundary of an incompressible hyperelastic half-space that is in contact with a viscous fluid extending to infinity in the adjoining half-space.
One aim is to derive rigorously the incremental boundary conditions at the interface; this derivation is delicate because of the interplay between the Lagrangian and the Eulerian descriptions but is crucial for numerous problems concerned with the interaction between a compliant wall and a viscous fluid. A second aim of this work is to model the ultrasonic waves used in the assessment of aortic aneurysms, and here we find that for this purpose the half-space idealization is justified at high frequencies. A third goal is to shed some light on the stability behaviour in compression of the solid half-space, as compared with the situation in the absence of fluid; we find that the usual technique of seeking standing waves solutions is not appropriate when the half-space is in contact with a fluid; in fact, a correct analysis reveals that the presence of a viscous fluid makes a compressed neo-Hookean half-space slightly more stable.
For a wave travelling in a direction of principal strain, we obtain results for the case of a general (incompressible isotropic) strain-energy function. For a wave travelling parallel to the interface and in an arbitrary direction in a plane of principal strain, we specialize the analysis to the neo-Hookean strain-energy function. | en_US |
dc.format | application/pdf | en_US |
dc.language.iso | en | en_US |
dc.publisher | Elsevier | en_US |
dc.relation.ispartof | International Journal of Non-Linear Mechanics, Special Issue in Honour of R.S. Rivlin | en |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Ireland | |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/3.0/ie/ | |
dc.subject | Acoustic waves | en_US |
dc.subject | Interface waves | en_US |
dc.subject | Elastic pre-stress | en_US |
dc.subject | Fluid-solid interaction | en_US |
dc.title | Acoustic waves at the interface of a pre-stressed incompressible elastic solid and a viscous fluid | en_US |
dc.type | Article | en_US |
dc.date.updated | 2012-12-22T00:16:57Z | |
dc.identifier.doi | http://dx.doi.org/10.1016/j.ijnonlinmec.2006.10.001 | |
dc.local.publishedsource | http://dx.doi.org/10.1016/j.ijnonlinmec.2006.10.001 | en_US |
dc.description.peer-reviewed | peer-reviewed | |
dc.contributor.funder | |~| | |
dc.internal.rssid | 1161476 | |
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 | 396 | |