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Phase field modelling: the materials science, mathematics and computational aspects
Online
12 Weeks
Free Quick Facts
| Medium Of Instructions | Mode Of Learning | Mode Of Delivery |
|---|---|---|
| English | Self Study | Video and Text Based |
Courses and Certificate Fees
| Fees Informations | Certificate Availability | Certificate Providing Authority |
|---|---|---|
| INR 1000 | yes | IIT Bombay |
The Syllabus
- Solution models
- Summary of solution models
- G vs X diagrams
- Phase diagrams
- Bond breaking model
- Chemical potential
- Tutorial 1
- Tutorial 2
- Tutorial 3
- Tutorial 4
- Tutorial 5
- Tutorial 6
- Diffusion and chemical potential
- Fick's law
- Failure of classical diffusion equation
- Some references
- Spinodal decomposition - some historySpinodal decomposition
- Stability
- Thermodynamic property : composition dependence
- Regions of stability
- Understanding spinodal region
- Tutorial 7
- Solution to classical diffusion equation
- Diffusion and mobility I
- Diffusion and mobility II
- Failure of classical diffusion equation
- Non-classical diffusion equation
- GNU Octave : Introduction
- GNU Octave : interactive mode
- GNU Octave : script mode
- Ideal solution using octave
- Regular solution using octave
- Constructing phase diagram
- Plotting spinodal
- Non-dimensionalisation of diffusion equation
- Diffusion and Fourier law of heat conduction
- Diffusion equation : Analytical solution I
- Diffusion equation : Analytical solution II
- Diffusion equation : Error function solution I
- Diffusion equation: Error function solution II
- Diffusion equation : finite difference method
- Diffusion equation : zero flux BC and explicit method
- Diffusion equation : zero flux BC and implicit method
- Diffusion equation : imposed concentration BC and explicit/implicit methods
- Periodic boundary conditions (PBC)
- Expicit method with PBC
- Spectral Techniques I
- Spectral Techniques II
- Implicit spectral method
- Scalars, vectors and tensors
- Coordinate transformation
- Transformation laws
- II rank tensors and Neumann principle
- Group theory
- Crystal: symmetry elements I
- Crystal: symmetry elements II
- Understanding Neumann's principle
- Representation quadric
- Variational calculus
- Optimization of functionals I
- Optimization of functional II
- Variational derivative
- Free energy functional
- Derivation of Cahn-Hilliard (CH) equation I
- Derivation of Cahn-Hilliard (CH) equation II
- Free energy versus concentration curves
- Diffusion equation versus CH
- Numerical solution of CH: finite difference
- Numerical solution of CH: spectral method
- Interfacial energy in CH
- CH: analytical solution
- Interfacial energy in CH: analytical calculation
- Interfacial energy: numerical versus analytical values
- Order-disorder transition and Allen-Cahn equation
- AC: numerical solution
- Spinodal decomposition in 2D
- Order-disorder transformation
- Gibbs Thomson effect
- Grain growth
- Precipitate growth I
- Precipitate growth II
- Grain growth: Fan-Chen model I
- Grain growth: Fan-Chen model II
- Grain boundary grooving I
- Grain boundary grooving II
- Overview of phase field modelling