Some aspects of stability in thermoelasticity

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).

Name dc:type.qualificationname

phd

Level dc:type.qualificationlevel

doctoral

Grantor dc:publisher.institution

University of East Anglia

Year dc:date.issued

2014

Author dc:creator

• Alharbi, Amnah

Language dc:language

en