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

Michel Destrade, Ray W. Ogden, Giuseppe Saccomandi

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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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Keywords

  • nonlinear viscoelasticity
  • prestressed materials
  • material and geometric stability

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