Course Code
P401
Credit
8
Prerequisite
P201 (Classical Mechanics I)
Total Hours
42 Lectures + 14 Tutorials
Outcome of the Course
This is an advanced course introducing the students to concepts and techniques in mechanics of continuous media. It prepares them to tackle a variety of problems in many areas such as fiber optics, fluid dynamics and structural stability of materials.
Approval
Syllabus
- Rigid body dynamics; Euler angle, Euler equations (should solve up to nutation of a top).
- Elastic Continua: Small deformations, stress tensor, elastic energy, equation of motion. Mechanics of continuous media.
- Strings: Euler Lagrange equation for continuous medium, Bernoullis and D’Alemberts solutions, Sturm-Liouville theory.
- Membranes: Scalar Helmholtz equation and its solution in variousgeometries.
- Fluids: Newtons second law for an ideal fluid, continuity equation, Euler equation, Bernoullis theorem, sound waves in fluids.
- Surface waves on Fluids: Tidal waves (long waves on shallow water), surface waves on deep water, solitary waves.
- Viscous Fluids: Viscous stress tensor, Navier Stokes equation, examples of incompressible flow, sound waves in viscous fluids.
Reference Books
- Classical Mechanics by N. C. Rana & P. S. Joag
- Classical Mechanics by H. Goldstein, C. P. Poole, J. Safko
- Classical Mechanics by A. L. Fetters and J.D.Walecka
- Fluid Mechanics by L. Landau and E. Lifshitz
- Theory of Elasticity by L. Landau and E. Lifshitz