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

Destrade, M., Ogden, R.W. and Saccomandi, G. (2009) Small amplitude waves and stability for a pre-stressed viscoelastic solid. Zeitschrift für Angewandte Mathematik und Physik, 60(3), pp. 511-528. (doi: 10.1007/s00033-008-7147-6)

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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.

Item Type:Articles
Glasgow Author(s) Enlighten ID:Ogden, Professor Raymond
Authors: Destrade, M., Ogden, R.W., and Saccomandi, G.
Subjects:Q Science > QC Physics
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Zeitschrift für Angewandte Mathematik und Physik
Journal Abbr.:ZAMP
ISSN (Online):1420-9039
Published Online:02 July 2008

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