Acoustic waves at the interface of a pre-stressed incompressible elastic solid and a viscous fluid
| dc.creator | Otténio, Mélanie | |
| dc.creator | Destrade, Michel | |
| dc.creator | Ogden, Raymond W. | |
| dc.date | 2007-11-28 | |
| dc.date.accessioned | 2026-07-07T08:45:47Z | |
| dc.date.available | 2026-07-07T08:45:47Z | |
| dc.description | 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. | |
| dc.description | 11 pages | |
| dc.identifier | https://arxiv.org/abs/0711.4438 | |
| dc.identifier | http://arxiv.org/abs/0711.4438 | |
| dc.identifier | International Journal of Non-Linear Mechanics 42, 2 (2007) 310-320 | |
| dc.identifier | doi:10.1016/j.ijnonlinmec.2006.10.001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/143072 | |
| dc.subject | Fluid Dynamics | |
| dc.title | Acoustic waves at the interface of a pre-stressed incompressible elastic solid and a viscous fluid | |
| dc.type | text |