| Course Unit Code | 224-0926/02 |
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| Number of ECTS Credits Allocated | 10 ECTS credits |
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| Type of Course Unit * | Choice-compulsory |
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| Level of Course Unit * | Third Cycle |
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| Year of Study * | |
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| Semester when the Course Unit is delivered | Winter, Summer Semester |
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| Mode of Delivery | Face-to-face |
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| Language of Instruction | English |
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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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| HRU30 | doc. RNDr. Eva Hrubešová, Ph.D. |
| Summary |
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| The course is focused on mathematical and physical modeling, including basic principles of models, starting relationships and equations, principles of individual modeling methods (finite element method, boundary element method, finite difference method, discrete elements). Furthermore, the student acquainted with the principles of stochastic modeling (Monte Carlo simulation method, the method LHS) and inverse analysis methods and their application to input data objectification of mathematical models and increase their explanatory power. |
| Learning Outcomes of the Course Unit |
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| The aim of the course Mathematical and physical modeling in rock engineering is to acquaint students with the fundamentals of mathematical and physical modeling, basic methods, principles and application possibilities of different methods of modeling. The another objective is to understand the nature of the stochastic approach to model calculations and the use of methods of back analysis. By completing the course, students should be be able to analyze the problem in terms of the selection of appropriate methods of mathematical modeling to define the input data, implement the corresponding mathematical model and formulate and analyze the results. |
| Course Contents |
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| Modelling in Geotechnics .......................................... |
| Recommended or Required Reading |
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| Required Reading: |
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GIODA, Z.: Modeling in Geomechanics. Wiley 2000.
Potts, D. Zdravkovic, L. Finite element analysis in geotechnical engineering. Telford, 1999. ISBN 0 72772753 2.
BAECHER, G.B.; CHRISTIAN,J.: Reliability and Statistics in Geotechnical Engineering. Chichester: Wiley, 2003. ISBN 0-471- 49833-5.
4. MÍKA, S., KUFNER, A.: Parciální diferenciální rovnice. SNTL, Praha 1983
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| Herle,I. Základy matematického modelování v geomechanice. Praha : Karolinum, 2003. |
| Recommended Reading: |
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ZIENKIEWICZ,O.C.;CHAN,A.H.C.;PASTOR,M;SCHREFLER,B.A.;SHIOMI,T.: Computational Geomechanics. Chichester: Wiley, 1999. ISBN 0-471- 98285-7.
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MÍKA, S., KUFNER, A.: Parciální diferenciální rovnice. SNTL, Praha 1983.
Valchářová, J.: Soudobé numerické metody v mechanice kontinua. SNTL, Praha
1986.
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| Planned learning activities and teaching methods |
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| Individual consultations, Tutorials, Project work |
| Assesment methods and criteria |
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| Tasks are not Defined |