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Title: Some aspects of stability in thermoelasticity
Author: Alharbi, Amnah
ISNI:       0000 0004 5352 0464
Awarding Body: University of East Anglia
Current Institution: University of East Anglia
Date of Award: 2014
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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-rate-dependent 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 find that in all these cases wave stability/instability is affected by the occurrence of the relaxation times α₀ and α₁ in TRDTE, and α₀ and α₁ and τ in TRDTE + GTE (1) and TRDTE + GTE (2).
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available