Subject Code: CE6L303 Name: Advanced Solid Mechanics L-T-P: 3-1-0 Credit:4
Prerequisite: None
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:
  1. Srinath, L.S., Advanced Mechanics of Solids, Tata McGraw Hill
  2. Timoshenko, S., Strength of Materials, CBS
  3. Bruhns, O.T., Advanced Mechanics of Solids, Springer
  4. Timoshenko, S., and Goodier, J.N., Theory of Elasticity, Tata McGraw Hill
  5. Chakrabarty, J. Theory of Plasticity , Butterworth-Heinemann