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

Michel Destrade, Ray W. Ogden, Giuseppe Saccomandi

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

We 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 predeformation 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.
Original languageEnglish
Pages (from-to)511-528
Number of pages18
JournalZeitschrift für Angewandte Mathematik und Physik
Volume60
Issue number3
DOIs
Publication statusPublished - May 2009

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Viscoelastic Material
Soft Tissue
Surface Waves
Stretch
Surface waves
static deformation
Dissipation
Imaging
Propagation
Tissue
Imaging techniques
surface waves
dissipation
propagation

Keywords

  • nonlinear viscoelasticity
  • prestressed materials
  • material and geometric stability

Cite this

Small amplitude waves and stability for a pre-stressed viscoelastic solid. / Destrade, Michel ; Ogden, Ray W.; Saccomandi, Giuseppe.

In: Zeitschrift für Angewandte Mathematik und Physik, Vol. 60, No. 3, 05.2009, p. 511-528.

Research output: Contribution to journalArticle

Destrade, Michel ; Ogden, Ray W. ; Saccomandi, Giuseppe. / Small amplitude waves and stability for a pre-stressed viscoelastic solid. In: Zeitschrift für Angewandte Mathematik und Physik. 2009 ; Vol. 60, No. 3. pp. 511-528.
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