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Finite Element Analysis of Diffusion Controlled Phase Transformation

GEORGE D. VERROS 1Nikolaos A. Malamataris 2

1. Technological and Educational Institute of Lamia (TEI, GR), ATHINON STR., Lamia 35100, Greece
2. Technological and Educational Insitute of West Macedonia (TEI, GR), Kila, Kozani 50100, Greece

Abstract

Diffusion controlled phase transformations are important in all engineering processes where material science is the main issue, such as alloys manufacture in metallurgical engineering or ceramics, polymeric membrane fabrication etc The main characteristic of diffusion controlled phase transformation is mass exchange between two phases leading to spatial extension of one phase while the other phase shrinks. This results in a moving interface between the two phases. Equilibrium is usually assumed at the moving interface. In this presentation a detailed methodology for modeling diffusion controlled phase transformations in polymeric membrane fabrication and metallurgical engineering with the aid of Galerkin Finite Element Method is presented. So far, the scientific methods that have been used are based on a trial and error procedure both in polymeric and metallurgical phase transformations. Our work alleviates shortcomings of previous approaches, as it results in a complete model, where the governing equations of the problem at hand are solved simultaneously along with appropriate boundary and initial conditions, yielding a complete picture of the physical and chemical phenomena that take place in the processes of interest.
[ABSTRACT TRUNCATED TO 2000 LETTERS]

 

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Presentation: invited oral at E-MRS Fall Meeting 2004, Symposium H, by GEORGE D. VERROS
See On-line Journal of E-MRS Fall Meeting 2004

Submitted: 2004-04-13 12:02
Revised:   2009-06-08 12:55