Course: Continuum mechanics and thermodynamics

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Course title Continuum mechanics and thermodynamics
Course code NTI/MKT
Organizational form of instruction Lecture + Lesson
Level of course Master
Year of study not specified
Semester Winter
Number of ECTS credits 4
Language of instruction Czech
Status of course Compulsory
Form of instruction Face-to-face
Work placements Course does not contain work placement
Recommended optional programme components None
  • Hokr Milan, doc. Ing. Ph.D.
Course content
Lectures 1. Repetition of terms and principles of solid mechanics, 1D stress 2. Derivation of stress tensor, properties and interpretation 3. Derivation of strain tensor, properties and interpretation 4. Principal values and directions of stress and strain tensors 5. generalized Hooke's law 6. equations and formulation of boundary value problems in elasticity (part 1) 7. equations and formulation of boundary value problems in elasticity (part 2) 8. distribution of stress in technical problems - bending and torsion 9. energetic (variational) methods in elasticity 10. mass, momentum and energy consevation principles in fluid mechanics, hydrostatics 11. fluid kinematics, flow equations, constitutive relations 12. first and second law of thermodynamics 13. state equation of ideal gas 14. entropy, enthalpy Exercises 1. one-dimensional problems, statically determinate trusses 2. continuously distributed loading 3. statically indeterminate problems 4. three-dimensional elasticity 5. torsion of axisymmetric body 6. beam bending - distribution of force and momentum 7. beam bending - deformation 8. Castigliano method for trusses 9. Castigliano method for beams 10. hydrostatic pressure and floatation of objects 11. fluid in acceleration field 12. force effects of flow 13. .examples on state equation 14. .examples on thermodynamic quantities

Learning activities and teaching methods
Monological explanation (lecture, presentation,briefing), Task-based study method
  • Class attendance - 56 hours per semester
  • Home preparation for classes - 14 hours per semester
  • Preparation for credit - 10 hours per semester
  • Preparation for exam - 20 hours per semester
Learning outcomes
Derivation and application of basic equation of elasticity theory. Technical problems - torsion and bending. Formulation of boundary value problems. Introduction to variational methods. Basics of fluid mechanics and thermodynamics.
The subject provides basic orientation in selected parts of physics necessary for later specialized study - understanding the processes, quantities and equations.

Assessment methods and criteria
Combined examination

To get a credit active participation on excercises and passing two tests during the semester is required. The exam is written composed of two parts, problem solutions and theoretical questions.
Recommended literature
  • Brdička, Samek, Sopko. Mechanika kontinua. Academia, Praha, 2000.
  • GOULD, H. a TOBOCHNIK J. Statistical and Thermal Physics.
  • Maršík F.:. Termodynamika kontinua. Praha, 1999.
  • Stříž, B. a kol. Metodická příručka z pružnosti a pevnosti. Skriptum VŠST, Liberec 1991, ISBN 80-7083-064-6. Liberec, 1991.

Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester
Faculty: Faculty of Mechatronics, Informatics and Interdisciplinary Studies Study plan (Version): Automatic Control and Applied Computer Science (2016) Category: Special and interdisciplinary fields 1 Recommended year of study:1, Recommended semester: Winter