Finite Element Modeling of a Diffusion-Controlled Phase Transformation in Thin Film
We derive and implement a finite element (FE) model for stress-mediated diffusion and phase transformation in thin films. The partial differential equations governing diffusion and mechanical equilibrium are of different order. To ensure uniform convergence of the FE method, the continuity class of respective interpolation functions must be different. We test our implementation on a ID problem and demonstrate the validity of the approach.
M. Asle Zaeem and S. D. Mesarovic, "Finite Element Modeling of a Diffusion-Controlled Phase Transformation in Thin Film," Proceedings of the ASME International Mechanical Engineering Congress and Exposition, 2008 (2008, Boston, MA, USA), vol. 12, pp. 267-272, American Society of Mechanical Engineers, Oct 2009.
The definitive version is available at https://doi.org/10.1115/IMECE2008-66767
ASME 2008 International Mechanical Engineering Congress and Exposition (2008, Oct. 31-Nov. 6, Boston, MA, USA)
Materials Science and Engineering
Keywords and Phrases
Different order; FE method; Finite element modeling; Finite element models; Interpolation function; Mechanical equilibrium; Phase transformation; Uniform convergence; Differential equations; Diffusion; Mechanical engineering; Thin films; Finite element method
International Standard Book Number (ISBN)
Article - Conference proceedings
© 2009 American Society of Mechanical Engineers, All rights reserved.
01 Oct 2009