Some aspects of stability in thermoelasticity

Alharbi, Amnah (2014) Some aspects of stability in thermoelasticity. Doctoral thesis, University of East Anglia.

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Abstract

In this thesis we study wave stability in the context of three theories of thermoelasticity:
temperature-rate-dependent thermoelasticity TRDTE which was formulated
by Green and Lindsay [21]; temperature-rate-dependent thermoelasticity with generalized
thermoelasticity, which we label TRDTE + GTE (1), formulated by Chandrasekharaiah
and Keshavan [23]; and an alternative theory of temperature-ratedependent
thermoelasticity with generalized thermoelasticity, labelled TRDTE +
GTE (2), formulated by Ignaczak [25]. Both anisotropic and isotropic thermoelastic
materials are under consideration in this thesis. We are concerned with three
cases: unconstrained; the usual deformation-temperature constraint; and the alternative
deformation-temperature constraint. We �nd that in all these cases wave stability/
instability is a�ected by the occurrence of the relaxation times �0 and �1 in
TRDTE, and �0, �1 and � in TRDTE + GTE (1) and TRDTE + GTE (2).

Item Type: Thesis (Doctoral)
Faculty \ School: Faculty of Science > School of Mathematics
Depositing User: Mia Reeves
Date Deposited: 17 Oct 2014 11:18
Last Modified: 17 Oct 2014 11:18
URI: https://ueaeprints.uea.ac.uk/id/eprint/50543
DOI:

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