Title: Single Phase Layer Formation in Nanostructured Multiphase Layered Structures
1Single Phase Layer Formation in Nanostructured
Multiphase Layered Structures
NIST Diffusion Workshop May 12-13, 2008,
Gaithersburg, MD
Ximiao Pan, John E. Morral, Yunzhi
Wang Department of Materials Science and
Engineering The Ohio State University Columbus,
Ohio
2OUTLINE
- Introduction
- Particle coarsening in equilibrium layers
- Single phase layer formation and horns
- Single phase layer growth
- Application of the KKS phase field model
- Conclusions
3INTRODUCTIONMultiphase Layer structure
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4INTRODUCTIONRegular Solution Phase Diagram
W12 W23 20kJ/mole
W13 0
5PARTICLE COARSENING IN EQUILIBRIUM LAYERSPhase
field simulation of nanostructured A/A? layers
on a tie-line
6PARTICLE COARSENING IN EQUILIBRIUM LAYERSPhase
field simulation of nanostructured J/J? layers
on a tie-line
7PARTICLE COARSENING IN EQUILIBRIUM LAYERSPhase
field simulation of nanostructured J/J? layers
on a tie-line
8PARTICLE COARSENING IN EQUILIBRIUM LAYERSPhase
Field Simulation of nanostructured J/J? layers
on a tie-line
9SINGLE PHASE LAYER FORMATION AND HORNS1-D
simulations of diffusion paths across multiphase
layers
Constant Dij Atomic mobilities b1 b2 b3 Linear
zigzag path
Variable Dij Atomic mobilities b110, b2 5,
b31 Path with horns
10SINGLE PHASE LAYER FORMATION AND HORNS1-D
simulations of variable diffusivity paths with
and without single phase layers
Variable Dij Atomic mobilities b110, b2 5,
b31 Path with horns
Horns with a Single phase layer
11SINGLE PHASE LAYER FORMATION AND HORNS1-D
simulations of variable diffusivity paths with a
larger single phase layer
12SINGLE PHASE LAYER GROWTHInvestigated layer pair
compositions
13SINGLE PHASE LAYER GROWTHTime evolution and
diffusion path of layers E/E?
Diffusion path predicted by
1-D
phase field
phase field 1-D
14SINGLE PHASE LAYER GROWTHLayer growth in E/E? in
repeated simulations
15SINGLE PHASE LAYER GROWTHComparison of phase
field simulations after 3000
16APPLICATION OF THE KIM/KIM/SUZUKI PHASE FIELD
MODELEffect of surface tension and length scale
on the interdiffusion microstructure
(a) KKS s25 mJ/m2
(b) KKS s50 mJ/m2
(c) KKS s100 mJ/m2
(d )KKS s200 mJ/m2
(e) KKS s400 mJ/m2
(f) Classical model
17APPLICATION OF THE KIM/KIM/SUZUKI PHASE FIELD
MODELEffect of rescaling the length to make the
surface tensions equal and reducing the time to
make the microstructures equal
18CONCLUSIONS
In model nanostructured multiphase multilayers
- Interdiffusion, capillarity and the Kirkendall
effectall play a role in the evolution of single
phase layers. - The starting distribution of random precipitates
can lead to significant differences in single
phase layer growth kinetics. - While 1-D simulations predict that horns may or
may not lead to single phase layer formation,
non-equilibrium phase field simulations predict
single phase layers even when the 1-D models
dont. - The KKS and classical phase field model results
were comparable. - The initial precipitate size needs to be taken
into account when comparing KKS simulations
performed at different length scales.
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21Single Phase Layers formed by Horns
Diffusion Couple results
Predicted by DICTRA
22Theory of horns and an example using a finite
difference simulation
K. Wu, J.E. Morral, and Y. Wang, in press Acta
Mater, Oct. 2006