| Document Type: | Dissertation |
| Name: | Gail S. Mackin |
| Email address: | mackin@math.vt.edu |
| URN: | 1997/00103 |
| Title: | On an Order-Parameter Model of Solid-Solid Phase Transitions |
| Degree: | Doctor of Philosophy |
| Department: | Mathematics |
| Committee Chair: | Robert C. Rogers |
| Chair's email: | rogers@math.vt.edu |
| Committee\ Members: | |
| Keywords: | Parabolic PDEs, Phase Transition, Order Parameter, Existence |
| Date of defense: | July 28, 1997 |
| Availability: | Release the entire work immediately worldwide. |
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.
List of Attached Files | ||
| Mackin.pdf | Mackin.tar.gz | |