Learn · Introduction to materials science and engineering
Lecture 76 of 146week-07
Gibbs’ phase rule
Prof. Rajesh Prasad · IIT Delhi
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- Introduction to materials science and engineering, IIT Delhi (at NPTEL)
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All the lectures
- 1.1 Introduction
- 1.2 Crystal geometry
- 1.3 Unit cell
- 1.4 Classification of latices
- 1.5 Gaps in Bravais lattices
- Symmetry I
- Symmetry II
- Classification of lattices on the basis of symmetry
- A symmetry based approach to Bravais lattices
- Miller Indices of Directions
- Miller Indices for Planes
- Miller Indices for a plane and its normal in Cubic Crystal
- Weiss Zone law and its applications
- Inter-planar spacing
- Bragg’s Law
- 16: Close-packing of Hard Spheres
- 17 ABAB stacking: Hexagonal Close-Packed (HCP) structure
- Lattice and motif of HCP crystals
- c/a ratio of an ideal HCP crystal
- ABCABC stacking: Cubic Close-packing (CCP)
- Voids in close-packed structures
- Solid solutions I
- Solid solutions II
- Hume-Rothery rules
- Ordered and Disordered Solid Solutions
- Graphene
- Structure of graphite
- Structure of diamond
- Carbon Nanotubes (CNT)
- Buckminsterfullerene (C60)
- Ionic solids
- NaCl
- CsCl
- ZnS
- BCC vs CsCl
- Amorphous Solids
- Polymers
- Vinyl Polymers
- Thermoplasts and Thermosets
- Tacticity
- Copolymers
- Crystallinity in Polymers
- Defects in Crystals
- Vacancies
- Edge dislocation: Half plane
- Edge dislocation: Slip
- Characteristic vectors of a dislocation
- Edge, screw and mixed dislocations
- Screw dislocations
- Burgers circuit
- Elastic energy of a dislocation line
- Burgers vector: Shortest lattice translation
- Burgers vector of a dislocation is constant along the line
- Dislocation cannot end abruptly in a crystal: Free surface
- Dislocation cannot end abruptly in a crystal: Grain boundaries
- Dislocation cannot end abruptly in a crystal: Dislocation nodes
- MSE 57: Dislocation cannot end abruptly in a crystal: Dislocation loop
- Dislocation motion
- MSE Video 59: 2D Defects: Surfaces or Interfaces
- Free surface or external surface of a crystal
- Stacking Faults
- Twin boundary
- Grain Boundary
- Small Angle Symmetric Tilt Boundary
- Ball bearing model to demonstrate defects in crystals
- Phase diagrams: Introduction
- Phases and components
- Uses of phase diagrams
- Phases present in the system
- Composition of phases present in the system
- Proportion of phases present in the system
- Microstructure evolution during solidification in isomorphous systems
- Eutectic system
- Eutectic reaction
- Eutectic, hypoeutectic and hypereutectic alloys
- Gibbs’ phase rule
- Fe-C phase diagram
- Eutectoid, Hypoeutectoid and Hypereutectoid steels
- Microstructure of a Hypoeutectoid Steel
- Microstructure of a Hypereutectoid Steel (Contd)
- Diffusion: Introduction
- Fick's First Law
- Fick's Second Law
- Error function solution of Fick's second law
- Atomic Mechanisms of Diffusion
- Substitutional Diffusion Revisited
- Diffusion Paths
- Steady and Unsteady State Diffusion
- Phase transformations
- Nucleation
- Nucleation and capillary rise
- Nucleation, growth and overall transformation
- Time-temperature-transformation (TTT) diagram
- Homogeneous and heterogeneous nucleation
- Heat Treatment of plain carbon steels
- TTT diagram of Eutectoid Steels
- Quenching and Martensite
- Austempering and Bainite
- Tempering
- Residual Stresses and Quench Cracks
- Marquenching or Martempering
- TTT diagram of Hypoeutectoid and Hypereutectoid steels
- TTT Diagram of Alloy Steel
- Hardenability of steels
- Glass Ceramics
- Tensile Test
- Plastic Deformation and Crystal Structure
- Shape Change Without Change in Crystal Structure
- Slip
- Resolved Shear Stress
- CRSS
- Schmid’s law
- CRSS: Theory vs experiment
- Why is experimental CRSS less than theoretical CRSS?
- Strengthening mechanisms
- Dislocation density
- Frank-Read source
- Strain hardening
- Dislocation interaction leading to strain hardening I
- Dislocation interaction leading to strain hardening II
- Solid solution hardening
- Grain size hardening
- Age hardening I: Introduction
- Age hardening II: Microstructure and mechanisms
- Metastable precipitates
- Annealing of cold-worked metals
- Recovery
- Recrystallisation
- Grain growth
- True stress and True Strain
- Creep: Introduction
- Effect of Stress and Temperature on Creep
- Creep Mechanisms
- Composites
- Isostrain Modulus
- Isostress Modulus
- Fracture
- Ductile and Brittle Fracture
- Role of Crack Size
- Griffith's Criterion
- Stress Concentration
- Ductile to Brittle Transition
- Enhancing Fracture Resistance
- Toughening of Glass: Tempering
- Toughening of Glass: Ion-Exchange
- Fatigue