Phase Field Modelling: The Materials Science, Mathematics and Computational Aspects
Indian Institute of Technology Bombay and NPTEL via Swayam
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ABOUT THE COURSE: This course is a tutorial introduction to phase field modelling. Phase field models are used to model microstructure evolution in a wide variety of systems; for example, they can be used to study microstructural evolution during solidification, solid-solid phase transformations and plastic deformation. In this course, we will primarily concentrate on modelling solid-solid transformations using phase field models. Specifically, we will discuss the materials science, mathematical and computational aspects of phase field modelling. The computations will be carried out using GNU Octave, a freeware for scientific computations. INTENDED AUDIENCE: M Sc (materials science), BE/B.Tech (final year), ME / M.Tech (metallurgy), PhD PREREQUISITES:Mathematical methods and materials thermodynamics; structure of materials, phase transformations, diffusion and computer programming are preferred. INDUSTRY SUPPORT: GE, Tata Steel, TRDDC, National labs (BARC, DMRL, ...)
Syllabus
Week 1: Thermodynamics: Some BasicsWeek 2: Diffusion and Spinodal Decomposition: Some BasicsWeek 3: Solving Classical Diffusion Equation and Failure of Classical Diffusion EquationWeek 4: GNU Octave: Some PreliminariesWeek 5: Analytical Solution of Diffusion EquationWeek 6: Numerical Solution to the Diffusion Equation IWeek 7: Numerical Solution to the Diffusion Equation II and Introduction to Symmetry and Group TheoryWeek 8: Symmetry, Group Theory and Variational CalculusWeek 9: Cahn-Hilliard EquationWeek 10: Interfacial Energy and Allen-Cahn EquationWeek 11: Applications I: Spinodal Decomposition, Order-disorder Transformation, Gibbs-Thomson, Grain and Precipitate GrowthWeek 12: Applications II: Precipitate Growth, Grain Growth in Multi-grain Systems and Grain Boundary Grooving
Taught by
Prof. M P Gururajan