SE 394: Introduction to Continuum Mechanics
(3-0-0-0-4)
Vectors and Tensors; Stress, principal stresses, invariants, deviatoric stresses, plane stress, simplified theory; Strains and Deformation, rotation, material and spatial derivatives, deformation tensor, spin and rate of deformation, finite strain and deformation, rotation and stretch tensors, compatibility conditions; General principles, continuity equation and momentum principles, transport theorems, virtual work, basic thermodynamics for solids; Constitutive equations, Rational mechanics approach, Classical elasticity, Generalized Hooke's law, isotropy, hyperelasticity, thermal stresses, ideal frictionless fluids, Newtonian fluids, Stokes condition.
RELEVANT BOOKS:
- Introduction to the mechanics of a continuous medium - L.E. Malvern (Prentice Hall)
- An introduction to continuum mechanics - M.E. Gurtin (Academic Press)
- Mathematical theory of elasticity - I.S. Sokolnikoff (McGraw Hill)
Proposer:Professor C.S. Upadhyay (AE)