eprintid: 59600
rev_number: 11
eprint_status: archive
userid: 11441
dir: disk0/00/05/96/00
datestamp: 2012-02-01 16:09:22
lastmod: 2021-09-22 19:27:30
status_changed: 2012-02-01 16:09:22
type: article
metadata_visibility: show
item_issues_count: 0
creators_name: Dunwoody, J.
creators_name: Ogden, R.W.
creators_orcid: 0000-0002-7002-7028
title: On the thermodynamic stability of elastic heat-conducting solids subject to a deformation--temperature constraint
ispublished: pub
divisions: 30501000
abstract: In this paper the thermoelastic stability of a three-dimensional body subject to a deformation-temperature constraint is examined with reference to Ericksen's [7] theory for unconstrained materials. It is shown that sufficient conditions for infinitesimal stability are unattainable for finite bodies if the constraint is temperature dependent. This general result is illustrated by considering the infinitesimal dynamic stability of a slab, initially at rest at uniform temperature. in respect of one-dimensional thermomechanical perturbations satisfying 'dead loading' boundary conditions on its parallel faces. Results obtained by Manacorda [12] are extended to show that the slab is thermomechanically (linearly) unstable if the trace of the infinitesimal strain tensor is dependent on temperature. In the light of these results, it is shown that the instability can be removed on the basis of the conjecture that the constraint be independent of temperature, or equivalently that the entropy is uniquely determined, The conjecture is justified by considering a limiting form of a theory for almost constrained rubberlike elastic solids.
date: 2002-06
date_type: published
id_number: 10.1177/108128602027736
uniqueid: glaseprints:2002-59600
scopus_impact: 6
scopus_cluster: 2-s2.0-0036613034
scopus_datestamp: 2013-05-23 05:04:30
wos_impact: 6
wos_cluster: WOS:000176882100004
wos_datestamp: 2013-10-25 08:26:07
full_text_status: none
publication: Mathematics and Mechanics of Solids
volume: 7
number: 3
pagerange: 285-306
refereed: TRUE
issn: 1081-2865
hoa_compliant: 305
hoa_date_pub: 2002-06
hoa_exclude: FALSE
hoa_gold: FALSE
citation:    Dunwoody, J. and Ogden, R.W. <https://eprints.gla.ac.uk/view/author/11283.html>  (2002)  On the thermodynamic stability of elastic heat-conducting solids subject to a deformation--temperature constraint.   Mathematics and Mechanics of Solids <https://eprints.gla.ac.uk/view/journal_volume/Mathematics_and_Mechanics_of_Solids.html>, 7(3),  pp. 285-306.   (doi: 10.1177/108128602027736 <https://doi.org/10.1177/108128602027736>)