CHAPTER 3
Links
DAY 1
3.1 Kinematics of a Continuum
3.1A Example1
3.2 Material and Spatial Description
3.3 Material Derivative
3.4 Acceleration of a particle in a continuum
3.5 Displacement Field
3.6 Kinematic Equation for Rigid Body Motion
3.6c General Rigid Body Motion
3.7 Infinitesimal Deformations
DAY 2
3.7 Definition of Infinitesimal strain Eij
3.7a Example Problem-a
3.7b Example Problem-b
3.8 Geometrical Meaning of Eij
Normal strain
3.8 (b) Geometrical Meaning of EijShear
strain
3.8.2 Example 3.8.2
3.9 Principal Strain
3.10 Dilatation
3.11 Rotation Tensor
3.12 Time Rate of Change of Material Element
3.13 Rate of Deformation Tensor
3.14 Spin Tensor and Angular Velocity Tensor
3.14a Problem 3.39
3.15 Conservation of Mass
DAY 3
3.16 Compatibility Conditions
3.16 (b) Compatibility contd..
3.16 Ex Problem 3.56
3.16 Ex2 Example 3.6.1
3.18 Deformation Gradient
3.20 Finite Deformation
3.20Ex Example Problem
DAY 4
3.21 Polar Decomposition Theorem
3.21 (b) Polar contd...
3.21 (c) Polar contd..
3.22 Stretch Tensors
3.23 Right Cauchy-Green Deformation Tensor
3.23(a) Components of tensor C (diagonal)
3.23(b) Components of tensor C (off-diagonal)
3.24 Lagrange Strain Tensor
3.24(a) Components of tensor E(diagonal)
3.24(b) Components of tensor E (off-diagonal)
3.25 Left Cauchy-Green Deformation Tensor
3.25 (b) Relationship between B and C
3.25(c) Meaning of B
3.25Ex Example 3.61
DAY 5
3.26 Eulerian Strain Tensor
3.26 (b) Eulerian Strain Tensor contd..
3.26 (c) Eulerian Strain Tensor contd..
3.28 Change of area due to deformation
3.28 (b) Change of area due to deformation
3.28 (c) Change of area due to deformation
3.29 Volume Change due to deformation
3.29 (b) Volume Change due to deformation contd..
3.29 Ex Example 3.6.1
Chapter 3 Review