330-0910/03 – Mechanics of Continuum (MK)

Gurantor departmentDepartment of Applied MechanicsCredits10
Subject guarantorprof. Ing. Karel Frydrýšek, Ph.D.Subject version guarantorprof. Ing. Karel Frydrýšek, Ph.D.
Study levelpostgraduateRequirementChoice-compulsory type B
YearSemesterwinter + summer
Study languageCzech
Year of introduction2019/2020Year of cancellation
Intended for the facultiesHGF, FMT, FS, FASTIntended for study typesDoctoral
Instruction secured by
LoginNameTuitorTeacher giving lectures
FRY72 prof. Ing. Karel Frydrýšek, Ph.D.
FUS76 doc. Ing. Martin Fusek, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Examination 25+0
Part-time Examination 25+0

Subject aims expressed by acquired skills and competences

Students get to know the theoretical and application approaches for solutions of the biomechanical tasks (process of data, model creation, numerical modelling, experiments). The focus is on the area of a multidisciplinary solution of rigid and deformable bodies, boundary and initial conditions, loadings and material behaviours tasks.

Teaching methods

Lectures
Individual consultations
Experimental work in labs
Project work

Summary

This subject introduces students to Mechanics of continuum (theory, practice, modelling, experiments and applications). Applications are focused mainly on engineering interdisciplinary problems of statics, kinematics, dynamics, mathematical theory of elasticity and plasticity, fatigue, material science, composites, stress-strain states and limit states, analytical, numerical and experimental approaches including nonlinearities. Acquired knowledge are needed for success scientific work, research, development and innovations in industry.

Compulsory 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

Recommended literature:

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

Way of continuous check of knowledge in the course of semester

Oral examination

E-learning

it is not.

Other requirements

Semestral project on the defined topic and its presentation before examiner.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

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

Conditions for subject completion

Full-time form (validity from: 2019/2020 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Examination Examination  
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2027/2028 (P0715D270013) Applied Mechanics P Czech Ostrava Choice-compulsory type B study plan
2027/2028 (P0715D270013) Applied Mechanics K Czech Ostrava Choice-compulsory type B study plan
2026/2027 (P0715D270013) Applied Mechanics P Czech Ostrava Choice-compulsory type B study plan
2026/2027 (P0715D270013) Applied Mechanics K Czech Ostrava Choice-compulsory type B study plan
2025/2026 (P0715D270013) Applied Mechanics P Czech Ostrava Choice-compulsory type B study plan
2025/2026 (P0715D270013) Applied Mechanics K Czech Ostrava Choice-compulsory type B study plan
2024/2025 (P0715D270013) Applied Mechanics P Czech Ostrava Choice-compulsory type B study plan
2024/2025 (P0715D270013) Applied Mechanics K Czech Ostrava Choice-compulsory type B study plan
2023/2024 (P0715D270013) Applied Mechanics P Czech Ostrava Choice-compulsory type B study plan
2022/2023 (P0715D270013) Applied Mechanics P Czech Ostrava Choice-compulsory type B study plan
2022/2023 (P0715D270013) Applied Mechanics K Czech Ostrava Choice-compulsory type B study plan
2021/2022 (P0715D270013) Applied Mechanics K Czech Ostrava Choice-compulsory type B study plan
2021/2022 (P0715D270013) Applied Mechanics P Czech Ostrava Choice-compulsory type B study plan
2020/2021 (P0715D270013) Applied Mechanics K Czech Ostrava Choice-compulsory type B study plan
2020/2021 (P0715D270013) Applied Mechanics P Czech Ostrava Choice-compulsory type B study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner