Finite Element Modeling of a Diffusion-Controlled Phase Transformation in Thin Film

Abstract

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.

Meeting Name

ASME 2008 International Mechanical Engineering Congress and Exposition (2008, Oct. 31-Nov. 6, Boston, MA, USA)

Department(s)

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)

978-0791848739

Document Type

Article - Conference proceedings

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2009 American Society of Mechanical Engineers, All rights reserved.

Publication Date

01 Oct 2009

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