On an order-parameter model of solid-solid phase transitions | Posted on:1998-03-13 | Degree:Ph.D | Type:Dissertation | University:Virginia Polytechnic Institute and State University | Candidate:Mackin, Gail Susan | Full Text:PDF | GTID:1461390014475331 | Subject:Mathematics | Abstract/Summary: | | 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. | Keywords/Search Tags: | Solid-solid phase transitions, Temperature independent | | Related items |
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