Title page for ETD etd-72097-132414


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.

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