On an Order-Parameter Model of Solid-Solid Phase Transitions

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dc.contributor.authorMackin, Gail S.en
dc.contributor.committeechairRogers, Robert C.en
dc.contributor.committeememberYan, Yinen
dc.contributor.committeememberSun, Shu-Mingen
dc.contributor.committeememberRossi, John F.en
dc.contributor.committeememberLin, Taoen
dc.contributor.departmentMathematicsen
dc.date.accessioned2014-03-14T20:22:26Zen
dc.date.adate1997-08-20en
dc.date.available2014-03-14T20:22:26Zen
dc.date.issued1997-07-28en
dc.date.rdate1997-08-20en
dc.date.sdate1997-07-28en
dc.description.abstractWe examine a model of solid-solid phase transitions that includes thermo-elastic effects and an order parameter. The model is derived as a special case of the Gurtin-Fried model posed in one space dimension with a symmetric triple-well free energy in which the relative heights of the wells vary with temperature. We examine the temperature independent case, showing existence of a unique classical solution of a regularized system of partial differential equations using semigroup theory. This is followed by numerical study of a finite element algorithm for the temperature independent model. Finally, we present computational material concerning the temperature dependent model.en
dc.description.degreePh. D.en
dc.identifier.otheretd-72097-132414en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-72097-132414/en
dc.identifier.urihttp://hdl.handle.net/10919/30676en
dc.publisherVirginia Techen
dc.relation.haspartMackin.pdfen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectParabolic PDEsen
dc.subjectPhase Transitionen
dc.subjectOrder Parameteren
dc.subjectExistenceen
dc.titleOn an Order-Parameter Model of Solid-Solid Phase Transitionsen
dc.typeDissertationen
thesis.degree.disciplineMathematicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en

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