{"id":{"repo_id":"east-anglia","oai_identifier":"oai:ueaeprints.uea.ac.uk:50543"},"canonical_url":"https://search.dev.ndltd.org/etd/east-anglia/oai:ueaeprints.uea.ac.uk:50543","repository":{"repo_id":"east-anglia","name":"University of East Anglia","base_url":"https://ueaeprints.uea.ac.uk/cgi/oai2"},"display":{"title":"Some aspects of stability in thermoelasticity","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).","abstract_html":"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).","abstract_has_math":false,"creators":["Alharbi, Amnah"],"institution":"University of East Anglia","degree_name":"phd","degree_level":"doctoral","degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2014,"date_issued":"2014-06","date_published":"2014-06","updated_at":"2026-07-24T02:12:03Z","subjects":[],"languages":["en"],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":null,"outbound_label":null,"outbound_source":null},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Alharbi, Amnah"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2014-06"]},{"key":"dc:date.issued","label":"Date","values":["2014-06"]},{"key":"dc:publisher.department","label":"Dc Publisher Department","values":["School of Mathematics"]},{"key":"dc:publisher.institution","label":"Dc Publisher Institution","values":["University of East Anglia"]},{"key":"dc:relation.isreferencedby","label":"Dc Relation Isreferencedby","values":["https://ueaeprints.uea.ac.uk/id/eprint/50543/"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]},{"key":"dc:type.qualificationlevel","label":"Dc Type Qualificationlevel","values":["doctoral"]},{"key":"dc:type.qualificationname","label":"Dc Type Qualificationname","values":["phd"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["https://ueaeprints.uea.ac.uk/id/eprint/50543/1/AMNAH.pdf"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["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)."]},{"key":"dc:format","label":"Dc Format","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["Some aspects of stability in thermoelasticity"]}]}],"canonical_facts":{"dc:creator":["Alharbi, Amnah"],"dc:date":["2014-06"],"dc:date.issued":["2014-06"],"dc:description.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)."],"dc:format":["application/pdf"],"dc:identifier.uri":["https://ueaeprints.uea.ac.uk/id/eprint/50543/1/AMNAH.pdf"],"dc:language":["en"],"dc:publisher.department":["School of Mathematics"],"dc:publisher.institution":["University of East Anglia"],"dc:relation.isreferencedby":["https://ueaeprints.uea.ac.uk/id/eprint/50543/"],"dc:title":["Some aspects of stability in thermoelasticity"],"dc:type":["Thesis"],"dc:type.qualificationlevel":["doctoral"],"dc:type.qualificationname":["phd"]},"updated_at":"2026-07-24T02:12:03Z"}