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 1D problem and demonstrate the validity of the approach.
Finite Element Modeling of a Diffusion-Controlled Phase Transformation in Thin Film
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Asle-Zaeem, M, & Mesarovic, SD. "Finite Element Modeling of a Diffusion-Controlled Phase Transformation in Thin Film." Proceedings of the ASME 2008 International Mechanical Engineering Congress and Exposition. Volume 12: Mechanics of Solids, Structures and Fluids. Boston, Massachusetts, USA. October 31–November 6, 2008. pp. 267-272. ASME. https://doi.org/10.1115/IMECE2008-66767
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