Investigation of Phase Transformation in Thin Film Using Finite Element Method

M. Asle-Zaeem; S. D. Mesarovic

doi:10.4028/www.scientific.net/SSP.150.29

Paper Titles

Application of Ab Initio Electronic Structure Calculations in Construction of Phase Diagrams of Metallic Systems with Complex Phases
p.1

Investigation of Phase Transformation in Thin Film Using Finite Element Method
p.29

Statistical Thermodynamics and Kinetics of Long-Range Order in Metal-Doped Graphene
p.43

Statistical Thermodynamics and Surface Phase Transitions of Interacting Particles Adsorbed on One-Dimensional Channels Arranged in a Triangular Cross-Sectional Structure
p.73

Order-Disorder Transitions and Thermodynamic Properties of M-Type Hexaferrites
p.101

Structural Stability and Phase Transitions in f-Electron Based Systems
p.123

Structural and Magnetic Transitions in Rapidly Solidified Heusler Alloys Ribbons
p.143

Displacive Phase Transformations
p.159

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Investigation of Phase Transformation in Thin Film Using Finite Element Method

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.