330-0910/04 – Mechanics of Continuum (MK)
| Gurantor department | Department of Applied Mechanics | Credits | 10 |
| Subject guarantor | prof. Ing. Karel Frydrýšek, Ph.D., FEng. | Subject version guarantor | prof. Ing. Karel Frydrýšek, Ph.D., FEng. |
| Study level | postgraduate | Requirement | Choice-compulsory type B |
| Year | | Semester | winter + summer |
| | Study language | English |
| Year of introduction | 2019/2020 | Year of cancellation | |
| Intended for the faculties | FS | Intended for study types | Doctoral |
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:
Recommended literature:
Way of continuous check of knowledge in the course of semester
Oral examination
E-learning
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
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction
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