Notes
Outline
Slide 1
Slide 2
Phase-Field Models
Phase-Field Model
Cahn-Allen Equation
Ordering in a BCC Binary Alloy
Parameter Identification
Phase-Field Model
Free Energy Function
Phase-Field Equations
Sharp Interface Asymptotics
Slide 12
Anisotropic Equilibrium Shapes
Slide 14
Slide 15
Diffuse Interface Formulation
Corners & Edges In Phase-Field
Corners/Edges
Corners and Edges
Slide 20
Cahn-Hilliard Equation
Phase Field Equations - Alloy
Slide 23
W. George & J. Warren (2001)
Surface Adsorption
Surface Adsorption
Slide 27
Slide 28
Solute Trapping
Slide 30
Slide 31
Slide 32
Slide 33
Ordering in an FCC Binary Alloy
Free Energy Functional
Equilibrium States in FCC
Wetting in Multiphase Systems
Slide 38
Slide 39
Monotectic Binary Alloy
Slide 41
Nucleation in L1 and incorporation of L2 into solid
Slide 43
Superconformal Electrodeposition
Slide 45
Slide 46
Slide 47
Slide 48
Conclusions
Slide 50
Slide 51
Slide 52
-Tensor Derivation