Course: Continuum Mechanics
Faculty of Mechanical Enginering, Czech Technical University in Prague

Abstract
Kinematics: Lagrangean and Eulerean descriptions, deformation gradient, multiplicative decomposition, strain tensors, material derivative, velocity gradient. Fundamental laws: mass conservation, balance of linear and angular momentum, balance of energy, entropy, Clausius-Duhem inequality, dissipation inequality. Mechanics of solids:coupled problem of thermo-elasticity and heat conduction under finite strains, hypo-elasticity, objective rates (Jaumann, Green-Naghdi, Oldroyd). Mechanics of fluids: inviscid flow (Euler), shock waves (Hugoniot), viscous flow (Newton-Stokes, Navier-Stokes, Reynolds). More than 120 worked out examples.

Recommended literature

• Brdička, M.: Mechanika kontinua. ČSAV, Praha 1959.
• Chandrasekharaiah, D.S., Lokenath Debnath: Continuum Mechanics. Academic Press, San Diego 1994.
• Gurtin, M.E.: An Introduction to Continuum Mechanics. Academic Press, San Diego 1981.
• Okrouhlík, M. (editor): Mechanika poddajných těles, numerická matematika a superpočítače. ÚT, Praha 1997.

Click to download the lectures in PDF (only in Czech)