Subjects

Your browser does not support JavaScript, or its support is disabled. Some features may not be available.

Continuum Mechanics - NGEO078

Title:	Mechanika kontinua
Guaranteed by:	Department of Geophysics (32-KG)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2016 to 2019
Semester:	summer
E-Credits:	5
Hours per week, examination:	summer s.:2/1, C+Ex [HT]
Capacity:	unlimited
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	taught
Language:	Czech, English
Teaching methods:	full-time
Teaching methods:	full-time

Guarantor:	prof. RNDr. Ondřej Čadek, CSc.

Opinion survey results Examination dates Schedule Noticeboard

Annotation -

Last update: T_KG (09.05.2013)

Continuum mechanics is a theoretical ground for solving many problems of basic and applied research. The lecture provides the basics of the continuum mechanics theory and describes practical applications of its use.

Aim of the course -

Last update: T_KG (09.05.2013)

The lecture provides the basics in continuum mechanics and describes its use in basic and applied research.

Literature - Czech

Last update: prof. RNDr. Ondřej Čadek, CSc. (06.10.2017)

Z. Martinec, Continuum mechanics, http://geo.mff.cuni.cz/vyuka/Martinec-ContinuumMechanics.pdf

Teaching methods -

Last update: T_KG (11.04.2008)

Lecture + exercises

Syllabus -

Last update: prof. RNDr. Ondřej Čadek, CSc. (07.01.2019)

1. Geometry of deformation, Eulerian and Lagrangian frames, displacement, strain tensor.

2. Material and spatial time derivative. Reynolds transport theorem.

3. Body and surface forces. Stress tensor.

4. Conservation laws in global and local scale, continuity and momentum equations.

5. Constitutive relationships. Elastic, viscous and plastic deformation.

6. Law of energy conservation. Entropy. Dissipation of mechanical energy. Thermal convection.

7. Mathematically correct formulation of continuum mechanics problems. Boundary conditions.

8. Pre-stressed media, thermal stresses, phase transitions.

9. Thin shell approximation of basic equations, membranes, shallow water approximation.

10. Applications: flow of oceans and atmosphere, sub-solidus flow of rocks and ices, viscoelastic liquids etc.

11. Numerical methods to solve the continuum mechanics problems.

12. Unsolved questions and open problems in continuum mechanics theory.