Introduction to elasticity theory; Stress analysis: forces and moments, theory of stress, principal stresses and stress invariants, compatibility equations, equilibrium equations; Strain: deformation and velocity gradients, Lagrangian and Eulerian description and finite strain, small deformation theory, principal strains and strain invariants, compatibility conditions; Fundamental physical principles: conservation of mass, linear momentum, angular momentum, and energy, second law of thermodynamics; Constitutive theory: St. Venant’s principal, linear elasticity and generalized Hook’s law, Stokesian and Newtonian fluids, Navier-Stokes equations, Bernoulli equation, linear viscoelasticity, yield criteria; Applications: Airy stress function, two-dimensional elastostatics problems, torsion.
Text/Reference Books:
- Srinath, L.S., Advanced Mechanics of Solids, Tata McGraw Hill
- Timoshenko, S., Strength of Materials, CBS
- Bruhns, O.T., Advanced Mechanics of Solids, Springer
- Timoshenko, S., and Goodier, J.N., Theory of Elasticity, Tata McGraw Hill
- Chakrabarty, J. Theory of Plasticity , Butterworth-Heinemann
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