Advanced Strength of Materials
Advanced Strength of Materials . Instructor: Prof. S. K. Maiti, Department of Mechanical Engineering, IIT Bombay. This course discusses topics about advanced strength of materials: Stress and strain tensor, Cauchy formula, Principal stress, Hydrostatic stress, Deviatoric stress, Stress transformations, Mohr's circle, Octahedral shear stress, Strain energy densities, Theories of failure, Beam on elastic foundations, Bending of curved beams, Torsion of Non-circular members, Unsymmetrical bending, and Shear center.
(from nptel.ac.in )

Stress and Strain Tensor
VIDEO

Lecture 01 - Stress and Strain Tensor
Lecture 02 - Stress and Strain Tensor (cont.), Cauchy Formula for Traction
Lecture 03 - Examples on Calculation of Strains and Tractions, Principal Stresses and Directions
Lecture 04 - Examples on Calculation of Principal Stresses and Directions, Orthogonality of Principal Directions, Principal Stresses are All Real
Lecture 05 - Maximum Shear Stress and Octahedral Shear Stress, Deviatoric and Hydrostatic Stresses
Lecture 06 - Transformation of Stresses and Mohr's Circle in 3D
Lecture 07 - Mohr's Circle (cont.)
Lecture 08 - Deformation, Rotation and Strain Tensors, Principal Strains, Deviatoric and Hydrostatic Stresses
Lecture 09 - Strain Transformations, Strains in Polar Coordinates, Equilibrium Equations in 2D
Lecture 10 - Equilibrium Equations in 2D Polar Coordinates, Plane Stress and Plane Strain Conditions
Lecture 11 - Stress-Strain Relations for Isotropic, Orthotropic and Anisotropic Materials
Lecture 12 - Relations between Elastic Constants
Lecture 13 - Stress Distribution in Thick Cylinder
Lecture 14 - Stresses due to Shrink Fitting
Lecture 15 - Stresses in Rotating Disc
Lecture 16 - Examples on Shrink Fitting and Rotating Disc
Lecture 17 - Torsion of Non-circular Shaft
Lecture 18 - Torsion of Non-circular Shaft (cont.)
Lecture 19 - Membrane Analogy for Torsion
Lecture 20 - Torsion of Thin Box Sections
Lecture 21 - Torsion of Box and Open Sections
Lecture 22 - Bending of Curved Bars
Lecture 23 - Bending of Curved Bars (cont.)
Lecture 24 - Theories of Failure
Lecture 25 - Theories of Failure (cont.)
Lecture 26 - Applications of Criteria of Failure, Griffith Theory of Brittle Fracture
Lecture 27 - Application of Griffith Theory, Irwin-Orowan Modification of Griffith Theory
Lecture 28 - Theorems of Elasticity
Lecture 29 - Theorems of Elasticity (cont.)
Lecture 30 - Thermal Stress Distribution in Rectangular Sheet
Lecture 31 - Thermal Stress Distribution in Cylinders
Lecture 32 - Unsymmetric Bending
Lecture 33 - Shear Center of a Section
Lecture 34 - Bending of Plates
Lecture 35 - Bending of Plates (cont.)
Lecture 36 - Examples on Plate Bending
Lecture 37 - Approximate Solutions for Bending of Rectangular and Circular Plates
Lecture 38 - Thin Shells of Revolution
Lecture 39 - Beam on Elastic Foundation
Lecture 40 - Application of Beam on Elastic Foundation Analysis to Pressure Vessels

References
Advanced Strength of Materials
Instructor: Prof. S. K. Maiti, Department of Mechanical Engineering, IIT Bombay. This course discusses topics about advanced strength of materials.