Mechanics of Continuous Media 1102-313

Program:

1. Introduction:
subject of mechanics of continuous media, notion of continuous media.

2. Elements of tensor analysis.

3. Kinematics of continuous media:
description of motion ( Lagrange and Euler methods), deformation tensor.

4. Dynamics of continuous media:
stress tensor, equation of motion, conservation laws.

5. Hydrodynamics of ideal fluid:
Euler equations, hydrostatic, Bernoulli equation, propagation of waves.

6. Hydrodynamics of viscous fluid:
Navier-Stokes equations, energy balance (dissipation), sound waves, incompressible liquid flows, boundary conditions, Reynolds number, turbulence phenomena.

7. Linear theory of solid body elasticity:
linear approximation, elasticity theory equations, examples of static and dynamic problems.

Prerequisites:
Classical Mechanics

Assessment form:
Exercises,
Exam: written and oral

Description by Bogdan Cichocki, January 2008.