NOC:Foundations of Continuum Mechanics

Lecture 1 - Introduction

Lecture 2 - Tensors

Lecture 3 - Summation Convention (Einstein Notation)

Lecture 4 - Kronecker Delta

Lecture 5 - Tutorial - Week 1

Lecture 6 - Permutation Symbol

Lecture 7 - Vector Operations

Lecture 8 - Tensor Operations

Lecture 9 - More on Indcial Notation

Lecture 10 - Tutorial - Week 2

Lecture 11 - Matrices and Determinants

Lecture 12 - Tensor Transformation - Part 1

Lecture 13 - Tensor Transformation - Part 2

Lecture 14 - Isotropy and Invariance

Lecture 15 - Tutorial - Week 3

Lecture 16 - Principal Values and Directions - Part 1

Lecture 17 - Principal Values and Directions - Part 2

Lecture 18 - Tensor Calculus - Part 1

Lecture 19 - Tensor Calculus - Part 2

Lecture 20 - Tutorial - Week 4

Lecture 21 - Cauchy Stress Principle

Lecture 22 - Cauchy Stress Formula

Lecture 23 - Cauchy Stress Tensor

Lecture 24 - Local Equilibrium Equations

Lecture 25 - Tutorial - Week 5

Lecture 26 - Stress Transformation and Principal Values

Lecture 27 - Stress Maxima - Lagrange Multiplier Method

Lecture 28 - Stress Maxima - Lagrange Multiplier Method

Lecture 29 - Plane Stress, Deviatoric Stress and Octahedral Shear Stress

Lecture 30 - Tutorial - Week 6

Lecture 31 - Deformation and Configurations

Lecture 32 - Material and Spatial Coordinates

Lecture 33 - Lagrangian and Eulerian Description

Lecture 34 - Material Derivative

Lecture 35 - Tutorial - Week 7

Lecture 36 - Deformation Gradient Tensor

Lecture 37 - Finite Strain Tensors

Lecture 38 - Infinitesimal Deformation Theory

Lecture 39 - Strain Tensor and Plane Strain

Lecture 40 - Tutorial - Week 8

Lecture 41 - Rotations and Compatibility

Lecture 42 - Finite Deformations

Lecture 43 - Velocity Gradient

Lecture 44 - Strain Rate and Rate of Rotation

Lecture 45 - Tutorial - Week 9

Lecture 46 - Material Derivative of Elements

Lecture 47 - Reynolds Transport Theorem and Conservation of Mass

Lecture 48 - Momentum Equations

Lecture 49 - Lagrangian Form of Momentum Equations

Lecture 50 - Energy Equation and Tutorial - Week 10

Lecture 51 - Introduction to Constitutive Modelling - Part 1

Lecture 52 - Introduction to Constitutive Modelling - Part 2

Lecture 53 - Elasticity

Lecture 54 - Viscous and Viscoelastic Materials

Lecture 55 - Plasticity

Lecture 56 - Tutorial - Constitutive Modelling

Lecture 57 - Application - Linear Fluids

Lecture 58 - Navier-Stokes Equation

Lecture 59 - Fluid Flow Problem

Lecture 60 - Summary