Media Storage Type : DVD-ROM
NPTEL Course Name : Advanced Solid Mechanics
NPTEL Subject Matter Expert : Dr. U. Saravanan
NPTEL Co-ordinating Institute : IIT Madras
NPTEL Lecture Count : 86
Lecture Titles:
1.1 Basic Concepts in Mechanics
1.2 Basic Equations in Mechanics
1.3 Classification of the Response of Materials
1.4 Solution to Boundary Value Problems
1.5 Summary
2.1 Overview
2.2 Algebra of vectors
2.3 Algebra of second order tensors
2.4 Algebra of fourth order tensors
2.5 Eigenvalues, eigenvectors of tensors
2.6 Transformation laws
2.7 Scalar, vector
2.8 Gradients and related operators
2.9 Integral theorems
2.10 Summary
2.11 Self-Evaluation
3.1 Overview
3.2 Body
3.3 Deformation Gradient
3.4 Lagrangian and Eulerian description
3.5 Displacement, velocity and acceleration
3.6 Transformation of curves, surfaces and volume
3.7 Properties of the deformation tensors
3.8 Strain Tensors
3.9 Normal and shear strain
3.10 Homogeneous Motions
3.11 Compatibility condition
3.12 Summary
3.13 Self-Evaluation
4.1 Overview
4.2 Traction vectors and stress tensors
4.3 Normal and shear stresses
4.4 Principal stresses and directions
4.5 Stresses on a Octahedral plane
4.6 Examples of state of stress
4.7 Other stress measures
4.8 Summary
4.9 Self-Evaluation
5.1 Overview
5.2 System
5.3 Conservation of Mass
5.4 Conservation of momentum
5.5 Summary
5.6 Self-Evaluation
6.1 Overview
6.2 Definition of elastic process
6.3 Restrictions on constitutive relation
6.4 Isotropic Hookeï¾’s law
6.5 Material parameters
6.6 Restriction on material parameters
6.7 Internally constraint materials
6.8 Orthotropic Hookeï¾’s law
6.9 Summary
6.10 Self-Evaluation
7.1 Overview
7.2 Formulation of boundary value problem
7.3 Techniques to solve boundary value problems
7.4 Illustrative example
7.5 General results
7.6 Summary
7.7 Self-Evaluation
8.1 Overview
8.2 Symmetrical bending
8.3 Asymmetrical bending
8.4 Shear center
8.5 Summary
8.6 Self-Evaluation
9.1 Overview
9.2 Twisting of thick walled closed section
9.3 Twisting of solid open section
9.4 Twisting of hollow section
9.5 Summary
9.6 Self-Evaluation
10.1 Overview
10.2 Winkler-Bach formula for curved beams
10.3 2D Elasticity solution for curved beams
10.4 Summary
10.5 Self-Evaluation
11.1 Overview
11.2 General formulation
11.3 Example 1: Point load
11.4 Example 2: Concentrated moment
11.5 Example 3: Uniformly distributed load
11.6 Summary
11.7 Self-Evaluation
12.1 Bibliography