Small amplitude waves and stability for a pre-stressed viscoelastic solid

dc.creatorDestrade, Michel
dc.creatorOgden, Ray W.
dc.creatorSaccomandi, Giuseppe
dc.date2008-12-08
dc.date.accessioned2026-07-07T12:10:14Z
dc.date.available2026-07-07T12:10:14Z
dc.descriptionWe study the propagation of small amplitude waves superimposed on a large static deformation in a nonlinear viscoelastic material of differential type. We use bulk waves and surface waves to address the questions of dissipation and of material and geometric stability. In particular, the analysis provides bounds on the constitutive parameters and on the pre-deformation that ensure linearized stability in the neighbourhood of a large pre-stretch. This type of result is relevant to the imaging of biological soft tissues using acoustical techniques, where pre-deformation is known to increase contrast and reduce de-correlation noise.
dc.identifierhttps://arxiv.org/abs/0812.1480
dc.identifierhttp://arxiv.org/abs/0812.1480
dc.identifierdoi:10.1007/s00033-008-7147-6
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/209879
dc.subjectBiological Physics
dc.subjectSoft Condensed Matter
dc.titleSmall amplitude waves and stability for a pre-stressed viscoelastic solid
dc.typetext

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