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Mechanics of Continuum

Type of study Doctoral
Language of instruction Czech
Code 330-0910/03
Abbreviation MK
Course title Mechanics of Continuum
Credits 10
Coordinating department Department of Applied Mechanics
Course coordinator prof. Ing. Karel Frydrýšek, Ph.D., FEng.

Subject syllabus

1. Introduction, importance, history and definition of continuum in classical, relativistic and quantum mechanics.

2. Coordinate systems and their mutual relations

3. Space, time, spacetime, definitions of deformations (displacement, strains, small and large deformations, Eulerian and Lagrangean approach)

4. Material definition (linear, nonlinear, Hooke's law etc.)

5. Stress and strain definition, principal stress and strains.

6. Theory of small deformations (theory of 1st order, basic tension, compression, bending and torsion loading, truss, straight and curved, beams and frames and straight and curved, beams and frames on elastic foundation)

7. Mathematical theory of elasticity and solutions of 2D a 3D tasks of statics, elasticity, boundary conditions, equilibrium equations

8. Plates, shells, plane and spatial tasks

8. Energetic principles in mechanics

9. Theory of small deformations (theory of 2nd order, basic tension, compression, bending and torsion loading, truss, straight and curved, beams and frames and straight and curved, beams and frames on elastic foundation)

10. Composites

11, Theory of large deformations

12. Elastomers

13. Dynamics tasks

14. Thermal tasks and creep

15. Plasticity, fatigue of materials and fracture mechanics

16. Geomechanics and biomechanics

17. Numerical methods

18. Experimental methods

19. Stochastic mechanics

E-learning

it is not.

Literature

FRYDRÝŠEK, K., KOMPIŠ, V., LENERT, J., DROPPA P. et al. Composite Materials in Theory and Practice, VSB – Technical University of Ostrava, ISBN 978-80-248-3239-5 , 2013, 187 s.

FRYDRÝŠEK, K. Basic Strength and Elasticity of Materials, VŠB – Technical University of Ostrava, ISBN 9788024838700 , 2016, 264s.
HEARN,E. J. Mechanics of Materials, Pergamon Press, 1985
BORESI, A.P. SCHMIDT, R.J., SIDEBOTTOM, O.M. Advanced Mechanics of Materials, John Wiley & Sons,Inc., 1993

Doporučená literatura

TIMOSHENKO, S. P., GOODIER, J. N. Theory of elasticity. New York-Toronto-
London: Mc Graw-Hill, 1951, 3.ed.1970.
LEIPHOLZ, H. Theory of elasticity. Noordhoff International Publishing Leyden, 1974. ISBN 90 286 0193 7