Responsible Instructor 

Instructor 

Contact Hours / Week x/x/x/x 
4/4/0/0

Education Period 

Start Education 

Exam Period 

Course Language 

Course Contents 
The continuum description of the mechanics of solids and liquids is discussed in a unified approach using tensor analysis. Deformations of a body are studied and the concept of the strain tensor and the rateofdeformation tensor are introduced. This is followed by a discussion of the stress tensor, and the equations of motion of a body are derived based on the balances of linear and angular momentum. For linear elastic solids the following topics are discussed: constitutive equation, Navier equations, energy principles. For Newtonian fluids we discuss the stress tensor, NavierStokes equations, and the first and second law of thermodynamics. The lecture series is then continued with a number of special topics a.o. multicomponent reacting flow (combustion), thermal convection and magnetohydrodynamics (MHD).

Study Goals 
After the course the students should: Be able to apply the basic elements of tensor analysis to derive the equations describing the behavior of various continuous systems mechanics (in particular solids and fluids) using the conservation of mass, momentum and energy as a starting point. Be able to explain the similarities and differences between the solid and fluid mechanics, and to solve simple problems in both fields. Be able to analyze other continuous systems such as those describing magnetohydrodynamics, turbulent thermal convection and combustion. Be able to identify some relevant aspects of physics of continuous media in practical situations

Education Method 
Theory presented in lectures. Practice sessions to make exercises. Assignments to be made at home.

Literature and Study Materials 
The general part of the course is based on the following books:  T.J. Chung, General Continuum Mechanics, Cambridge University Press, 2007, ISBN10:0521874068 (pbk.) and ISBN13:9780521874069 (hardback)
B. Lautrup, Physics of continuous matter: Exotic and Everyday Phenomena in the Macroscopic World (Paperback), Routledge, 9780750307529 Second edition (2011) ISBN: 9781420077001 ISBN 10: 1420077007

Assessment 
Written exam at end of second period. Final mark partially based on the performance in the assignments.
