NOC:Phase Field Modelling: Materials Science, Mathematics (USB)

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SKU
113101072



Media Storage Type : 32 GB USB Stick

NPTEL Subject Matter Expert : Dr. M.P. Gururajan

NPTEL Co-ordinating Institute : IIT Bombay

NPTEL Lecture Count : 87

NPTEL Course Size : 18 GB

NPTEL PDF Text Transcription : Available and Included

NPTEL Subtitle Transcription : Available and Included (SRT)


Lecture Titles:

Lecture 1 - Module 1 : Lecture 1 - Solution models
Lecture 2 - Module 1 : Lecture 2 - Summary of solution models
Lecture 3 - Module 1 : Lecture 3 - G vs X diagrams
Lecture 4 - Module 1 : Lecture 4 - Phase diagrams
Lecture 5 - Module 1 : Lecture 5 - Bond breaking model
Lecture 6 - Module 2 : Lecture 6 - Chemical potential
Lecture 7 - Module 1 : Tutorial 1
Lecture 8 - Module 1 : Tutorial 2
Lecture 9 - Module 1 : Tutorial 3
Lecture 10 - Module 1 : Tutorial 4
Lecture 11 - Module 1 : Tutorial 5
Lecture 12 - Module 2 : Tutorial 6
Lecture 13 - Module 2 : Lecture 7 - Diffusion and chemical potential
Lecture 14 - Module 2 : Lecture 8 - Fick's law
Lecture 15 - Module 2 : Lecture 9 - Failure of classical diffusion equation
Lecture 16 - Module 2 : Lecture 10 - Some references
Lecture 17 - Module 3 : Lecture 11 - Spinodal decomposition - some history
Lecture 18 - Module 3 : Lecture 12 - Spinodal decomposition
Lecture 19 - Module 3 : Lecture 13 - Stability
Lecture 20 - Module 3 : Lecture 14 - Thermodynamic property : composition dependence
Lecture 21 - Module 3 : Lecture 15 - Regions of stability
Lecture 22 - Module 3 : Lecture 16 - Understanding spinodal region
Lecture 23 - Module 2 : Tutorial 7
Lecture 24 - Module 4 : Lecture 17 - Solution to classical diffusion equation
Lecture 25 - Module 4 : Lecture 18 - Diffusion and mobility - I
Lecture 26 - Module 4 : Lecture 19 - Diffusion and mobility - II
Lecture 27 - Module 4 : Lecture 20 - Failure of classical diffusion equation
Lecture 28 - Module 4 : Lecture 21 - Non-classical diffusion equation
Lecture 29 - Module 5 : Lecture 22 - GNU Octave : Introduction
Lecture 30 - Module 5 : Lecture 23 - GNU Octave : interactive mode
Lecture 31 - Module 5 : Lecture 24 - GNU Octave : script mode
Lecture 32 - Module 6 : Lecture 25 - Ideal solution using octave
Lecture 33 - Module 6 : Lecture 26 - Regular solution using octave
Lecture 34 - Module 6 : Lecture 27 - Constructing phase diagram
Lecture 35 - Module 6 : Lecture 28 - Plotting spinodal
Lecture 36 - Module 7 : Lecture 29 - Non-dimensionalisation of diffusion equation
Lecture 37 - Module 7 : Lecture 30 - Diffusion and Fourier law of heat conduction
Lecture 38 - Module 8 : Lecture 31 - Diffusion equation : Analytical solution - I
Lecture 39 - Module 8 : Lecture 32 - Diffusion equation : Analytical solution - II
Lecture 40 - Module 8 : Lecture 33 - Diffusion equation : Error function solution - I
Lecture 41 - Module 8 : Lecture 34 - Diffusion equation: Error function solution - II
Lecture 42 - Module 9 : Lecture 35 - Diffusion equation : finite difference method
Lecture 43 - Module 9 : Lecture 36 - Diffusion equation : zero flux BC and explicit method
Lecture 44 - Module 9 : Lecture 37 - Diffusion equation : zero flux BC and implicit method
Lecture 45 - Module 9 : Lecture 38 - Diffusion equation : imposed concentration BC and explicit/implicit methods
Lecture 46 - Module 10 : Lecture 39 - Periodic boundary conditions (PBC)
Lecture 47 - Module 10 : Lecture 40 - Expicit method with PBC
Lecture 48 - Module 10 : Lecture 41 - Spectral Techniques - I
Lecture 49 - Module 10 : Lecture 42 - Spectral Techniques - II
Lecture 50 - Module 10 : Lecture 43 - Implicit spectral method
Lecture 51 - Module 11 : Lecture 44 - Scalars, vectors and tensors
Lecture 52 - Module 11 : Lecture 45 - Coordinate transformation
Lecture 53 - Module 11 : Lecture 46 - Transformation laws
Lecture 54 - Module 11 : Lecture 47 - II rank tensors and Neumann principle
Lecture 55 - Module 12 : Lecture 48 - Group theory
Lecture 56 - Module 12 : Lecture 49 - Crystal: symmetry elements - I
Lecture 57 - Module 12 : Lecture 50 - Crystal: symmetry elements - II
Lecture 58 - Module 12 : Lecture 51 - Understanding Neumann's principle
Lecture 59 - Module 12 : Lecture 52 - Representation quadric
Lecture 60 - Module 13 : Lecture 53 - Variational calculus
Lecture 61 - Module 13 : Lecture 54 - Optimization of functionals - I
Lecture 62 - Module 13 : Lecture 55 - Optimization of functionals - II
Lecture 63 - Module 13 : Lecture 56 - Variational derivative
Lecture 64 - Module 13 : Lecture 57 - Free energy functional
Lecture 65 - Module 14 : Lecture 58 - Derivation of Cahn-Hilliard (CH) equation - I
Lecture 66 - Module 14 : Lecture 59 - Derivation of Cahn-Hilliard (CH) equation - II
Lecture 67 - Module 14 : Lecture 60 - Free energy versus concentration curves
Lecture 68 - Module 14 : Lecture 61 - Diffusion equation versus CH
Lecture 69 - Module 15 : Lecture 62 - Numerical solution of CH: finite difference
Lecture 70 - Module 15 : Lecture 63 - Numerical solution of CH: spectral method
Lecture 71 - Module 16 : Lecture 64 - Interfacial energy in CH
Lecture 72 - Module 16 : Lecture 65 - CH: analytical solution
Lecture 73 - Module 16 : Lecture 66 - Interfacial energy in CH: analytical calculation
Lecture 74 - Module 16 : Lecture 67 - Interfacial energy: numerical versus analytical values
Lecture 75 - Module 17 : Lecture 68 - Order-disorder transition and Allen-Cahn equation
Lecture 76 - Module 17 : Lecture 69 - AC: numerical solution
Lecture 77 - Module 18 : Lecture 70 - Spinodal decomposition in 2D
Lecture 78 - Module 18 : Lecture 71 - Order-disorder transformation
Lecture 79 - Module 18 : Lecture 72 - Gibbs Thomson effect
Lecture 80 - Module 18 : Lecture 73 - Grain growth
Lecture 81 - Module 19 : Lecture 74 - Precipitate growth - I
Lecture 82 - Module 19 : Lecture 75 - Precipitate growth - II
Lecture 83 - Module 20 : Lecture 76 - Grain growth: Fan-Chen model - I
Lecture 84 - Module 20 : Lecture 77 - Grain growth: Fan-Chen model - II
Lecture 85 - Module 21 : Lecture 78 - Grain boundary grooving - I
Lecture 86 - Module 21 : Lecture 79 - Grain boundary grooving - II
Lecture 87 - Module 22 : Lecture 80 - Overview of phase field modelling

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