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Course Content
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Introduction, Tensile Test, Compression Test, True Stress -Strain Curve, Dynamic and Kinematic Model, Empirical Equations for Stress-Strain Curve, The Stress Tensor, Stress at a Point, Principal Stresses, Mohr's Diagram, Stress Deviator Tensor, The Strain Tensor, Strain at a Point, Finite deformations, Principal Strains, Strain Deviator Tensor, Elastic Stress- Strain Relations, Equations of Elasticity, Elastic Strain Energy functions, Solution of Elastic Problems, Criteria for Yielding, Example of Multiaxial Stress, Example of Yield Criteria, Yield Surface, Loading and Unloading, Plastic Stress-Strain Relations, Distinction Between Elastic Plastic Relations, Prandtl-Reuss Equation, Plastic Work, Experimental Verification of Prandtl-Reuss Equations, Plastic Stress-Strain Relations, Incremental and Deformation Theories, Complete Stress-Strain Relations, The Plane Elastoplastic Problem, General Relations, Rotating Disc, Pure Bending of Beams, Plane Strain Problem, Elastoplastic Problems of Sphere and Cylinders, Thick Hollow Sphere, Hollow Sphere Residual Stresses, Plastic Flow in Thick-walled Tubes, Thick Walled Tube of Strain Hardening Material, Long Solid Cylinder, Thin Circular Shell, The Torsion Problem, Torsion of prismatic Bar, Elasticity Solution, Elastoplastic Torsions with Perfect Plastic, Elastoplastic Torsions with Strain hardening.
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