Theory of Elasticity and Plasticity Premium Lecture Notes - Evangeline Edition

Theory of Elasticity and Plasticity Handwritten Premium Lecture Notes, Prepared by Evangeline. Syllabus is Based on Anna University , Post Graduate M.E. Structural Engineering R2013 Regulations.

Syllabus :

THEORY OF ELASTICITY AND PLASTICITY
UNIT-1 - ELASTICITY (Page No : 1 to 26)
UNIT-2 - ELASTIC SOLUTION (Page No : 27 to 60)
UNIT-3 - TORSION OF NON-CIRCULAR SECTION (Page No : 60 to 82)
UNIT-4 - ELASTIC FOUNDATION (Page No : 90 to 98) 
UNIT-5 - THEORY OF PLASTICITY (79 to 83 and 99 to 128)

Content :
UNIT-1
ELASTICITY
Stress
Types of stress
1. Axial stress
2. Shear stress
3. Bending stress
Strain
Types of strain
1. Longitudinal
2. Lateral strain
Poisson ratio
Determinate structure
Indeterminate structure
Materials
1. Homogeneous
2. Isotropic
Problems
Analysis of strain
Strain-compatibility equation
Principle stresses
Plane stress problem
Tensor
Rotation matric
Methods of solution of elastic problem
1. First boundary value problem
2. Second boundary value problem
3. Mixed boundary value problem
Plane stress
Equilibrium equation of plane stress
Strain –displacement relationship
Stress-strain relationship
Strain compatibility
Stress displacement
Strain-displacement relation
Octahedral stress
Boundary condition in terms of stress
Generalized hook’s law

UNIT-2
ELASTIC SOLUTION
Two dimensional problem in Cartesian coordinates
Plane stress
Polynomial for first degree
Polynomial for third degree
Two dimensional in polar coordinates
2d problems in cylindrical coordinates
Stress function
Compatibility equation

UNIT-3
ST.VENANT’S PRINCIPLE
Stress concentration due to circular hole in plate
Stress distribution
Boundary condition
Torsion of non-circular section
Torsion of rolled profile section
Torsion of thin walled tube

UNIT-4
ELASTIC FOUNDATION
Winkler foundation
Governing equations for uniform straight beams on elastic foundation
Semi infinite and finite beams with concentrated loads

UNIT-5
THEORY OF PLASTICITY
Crystal grains
Mechanics of plastic deformation
Consecutive stages of deformation
1. Elastic deformation
2. Plastic deformation
3. Fracture
Inelastic deformation
Factors affecting plastic deformation
1. Type of stress arrangements
2. Deformation temperature
3. Rate of deformation
4. External function
Strain hardening
Stress-strain relationship
Types of criteria
1. Rigid materials
2. Perfectly linear elastic material
3. Rigid , perfectly plastic
4. Rigid with strain hardening
5. Elastic , perfectly plastic
6. Elastoplastic with strain hardening
Viscoelastic material
1. Maxwell body
2. Kelvin voigt body
3. Linear standard body
4. Theories of failure
1. Maximum principle stress theory
2. Maximum principle strain theory
3. Strain energy theory
4. Distortion energy theory
5. Distortional energy
6. Maximum shear stress theory