eprintid: 25277
rev_number: 12
eprint_status: archive
userid: 461
dir: disk0/00/02/52/77
datestamp: 2010-02-10 19:59:00
lastmod: 2018-05-02 10:17:04
status_changed: 2010-02-10 19:59:00
type: article
metadata_visibility: show
item_issues_count: 0
creators_name: Destrade, M.
creators_name: Ogden, R.W.
creators_name: Saccomandi, G.
creators_orcid: 0000-0002-7002-7028
title: Small amplitude waves and stability for a pre-stressed viscoelastic solid
ispublished: pub
subjects: QC
divisions: 30501000
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.
date: 2009-05
date_type: published
id_number: 10.1007/s00033-008-7147-6
uniqueid: glaseprints:2009-25277
published_online: 2008-07-02
issn_online: 1420-9039
journal_abbr: ZAMP
scopus_impact: 2
scopus_cluster: 2-s2.0-67349086049
scopus_datestamp: 2013-10-25 21:11:12
wos_impact: 2
wos_cluster: WOS:000265298900009
wos_datestamp: 2013-10-24 22:28:07
full_text_status: public
publication: Zeitschrift für Angewandte Mathematik und Physik
volume: 60
number: 3
pagerange: 511-528
refereed: TRUE
issn: 0044-2275
hoa_compliant: 304
hoa_date_pub: 2008-07-02
hoa_exclude: FALSE
citation:    Destrade, M., Ogden, R.W. <https://eprints.gla.ac.uk/view/author/11283.html> and Saccomandi, G.  (2009)  Small amplitude waves and stability for a pre-stressed viscoelastic solid.   Zeitschrift für Angewandte Mathematik und Physik <https://eprints.gla.ac.uk/view/journal_volume/Zeitschrift_f=FCr_Angewandte_Mathematik_und_Physik.html>, 60(3),  pp. 511-528.   (doi: 10.1007/s00033-008-7147-6 <https://doi.org/10.1007/s00033-008-7147-6>)         
document_url: https://eprints.gla.ac.uk/25277/1/arxiv.html