Type of Document	Dissertation
Author	Mackin, Gail S.
Author's Email Address	mackin@math.vt.edu
URN	etd-72097-132414
Title	On an Order-Parameter Model of Solid-Solid Phase Transitions
Degree	PhD
Department	Mathematics
Advisory Committee	Advisor Name Title Lin, Tao Rossi, John F. Sun, Shu-Ming Yan, Yin Rogers, Robert C. Committee Chair
Keywords	Parabolic PDEs Phase Transition Order Parameter Existence
Date of Defense	1997-07-28
Availability	unrestricted
Abstract We 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.
Files	Filename       Size       Approximate Download Time (Hours:Minutes:Seconds)     28.8 Modem   56K Modem   ISDN (64 Kb)   ISDN (128 Kb)   Higher-speed Access    Mackin.pdf 5.95 Mb 00:27:33 00:14:10 00:12:23 00:06:11 00:00:31

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