| Course Unit Code | 330-0536/01 |
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| Number of ECTS Credits Allocated | 5 ECTS credits |
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| Type of Course Unit * | Compulsory |
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| Level of Course Unit * | Second Cycle |
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| Year of Study * | First Year |
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| Semester when the Course Unit is delivered | Summer Semester |
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| Mode of Delivery | Face-to-face |
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| Language of Instruction | Czech |
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| Prerequisites and Co-Requisites | Course succeeds to compulsory courses of previous semester |
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| Name of Lecturer(s) | Personal ID | Name |
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| FUS76 | doc. Ing. Martin Fusek, Ph.D. |
| HAL22 | prof. Ing. Radim Halama, Ph.D. |
| POR05 | doc. Ing. Zdeněk Poruba, Ph.D. |
| Summary |
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The course follows the course Numerical Methods of Mechanics II. Extends the basics for the use of the finite element method in technical practice to the problem of stationary and non-stationary problems in the field of nonlinear mechanics. Furthermore, other numerical methods usable in problems of mechanics of flexible bodies will be discussed.
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| Learning Outcomes of the Course Unit |
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| Teach a students the basic procedures for solving of ground technical problems of continuum mechanics. Ensure understanding of teaching problems. To learn the students if they can apply gained theoretical peaces of knowledge in praxis. |
| Course Contents |
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1. Introduction, revision (numerical methods, modeling, linear continuum mechanics)
2. Finite element method, Finite difference method, Boundary element method - repetition of knowledge
3. Nonlinear mechanics and types of nonlinearity in mechanics - introduction
4. Methods of solving nonlinear problems - Newton-Rhapson method, Arc length method
5. Nonlinear geometries (large displacements, large deformations) - introduction, examples and their possible solutions
6. Nonlinearities geometric (large displacements, large deformations) - numerical solution
7. Material nonlinearities. - introduction, possibilities of solution
8. Material nonlinearities. - numerical solution
9. Nonlinearities of state, contact problems
10. Nonlinearities of state, contact problems. - numerical solution
11. Stability problems - linear and nonlinear loss of shape stability, introduction
12. Stability problems - numerical solution
13. Other numerical methods in continuum mechanics (MFD, MHP, mesh free methods)
14. Solving large problems (supercomputing)
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| Recommended or Required Reading |
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| Required Reading: |
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| [1] BEER,G.-WATSON,J.O. Introduction to Finite and Boundary Element Methods for Enginners. John Wiley & Sons, 1992509p.ISBN 0-471-92813-5 |
[1] LENERT,J. Základy matematické teorie pružnosti. 1. vyd. Ostrava : VŠB-TU, 1997. 96 s. ISBN 80-7078-437-7
[2] LENERT,J. Úvod do metody konečných prvků. 1. vyd. Ostrava : VŠB-TU, 1999. 110 s. ISBN 80-7078-686-8
[3] BITTNAR,Z.-ŠEJNOHA,J. Numerické metody mechaniky 1. Praha : Vydavatelství ČVUT, 1992. 310 s. ISBN 80-01-00855-X.
[4] BITTNAR,Z.-ŠEJNOHA,J. Numerické metody mechaniky 2. Praha : Vydavatelství ČVUT, 1992. 261 s. ISBN 80-01-00901-7.
[5] BEER,G.-WATSON,J.O. Introduction to Finite and Boundary Element Methods for Enginners. John Wiley & Sons, 1992509p.ISBN 0-471-92813-5 |
| Recommended Reading: |
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| [1] BARRON, F. R. – BARRON R., B. Design for Thermal Stresses, Willey: 2012. 510 s., ISBN 978-0-470-62769-3 |
| [1] BARRON, F. R. – BARRON R., B. Design for Thermal Stresses, Willey: 2012. 510 s., ISBN 978-0-470-62769-3 |
| Planned learning activities and teaching methods |
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| Lectures, Tutorials |
| Assesment methods and criteria |
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| Task Title | Task Type | Maximum Number of Points
(Act. for Subtasks) | Minimum Number of Points for Task Passing |
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| Credit and Examination | Credit and Examination | 100 (100) | 51 |
| Credit | Credit | 35 | 20 |
| Examination | Examination | 65 | 25 |