Investigation of Phase Transformation in Thin Film Using Finite Element Method

Author

Mohsen Asle Zaeem, Missouri University of Science and TechnologyFollow
Sinisa DJ Mesarovic

Abstract

Cahn-Hilliard type of phase field model coupled with elasticity is used to derive governing equations for the stress-mediated diffusion and phase transformation in thin films. To solve the resulting equations, a finite element (FE) model is presented. The partial differential equations governing diffusion and mechanical equilibrium are of different orders; Mixed-order finite elements, with C⁰ interpolation functions for displacement, and C¹ interpolation functions for concentration are implemented. To validate this new numerical solver for such coupled problems, we test our implementation on thin film diffusion couples.

Recommended Citation

M. Asle Zaeem and S. D. Mesarovic, "Investigation of Phase Transformation in Thin Film Using Finite Element Method," Solid State Phenomena, vol. 150, pp. 29 - 41, Scientific.net, Jan 2009.

The definitive version is available at https://doi.org/10.4028/www.scientific.net/SSP.150.29

Department(s)

Materials Science and Engineering

Keywords and Phrases

Differential equations; Diffusion; Intermetallics; Interpolation; Phase transitions; Thin film devices; Thin films; Coupled problems; Different order; Finite Element; Finite element models; Finite elements; Governing equations; Interpolation function; Mechanical equilibrium; Numerical solvers; Phase field models; Phase transformation; Solid state thin films; Thin-film diffusion; Finite element method

International Standard Book Number (ISBN)

978-3908451662

International Standard Serial Number (ISSN)

1012-0394

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2009 Scientific.net, All rights reserved.

Publication Date

01 Jan 2009