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ECTS Course Overview

Mathematical and physical modelling in geotechnics

* Exchange students do not have to consider this information when selecting suitable courses for an exchange stay.

Course Unit Code224-0926/02
Number of ECTS Credits Allocated10 ECTS credits
Type of Course Unit *Choice-compulsory
Level of Course Unit *Third Cycle
Year of Study *
Semester when the Course Unit is deliveredWinter, Summer Semester
Mode of DeliveryFace-to-face
Language of InstructionCzech, English
Prerequisites and Co-Requisites Course succeeds to compulsory courses of previous semester
Name of Lecturer(s)Personal IDName
HRU30doc. RNDr. Eva Hrubešová, Ph.D.
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
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
Modelling in Geotechnics ..........................................
Recommended or Required Reading
Required Reading:
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
Herle,I. Základy matematického modelování v geomechanice. Praha : Karolinum, 2003.
Recommended Reading:
ZIENKIEWICZ,O.C.;CHAN,A.H.C.;PASTOR,M;SCHREFLER,B.A.;SHIOMI,T.: Computational Geomechanics. Chichester: Wiley, 1999. ISBN 0-471- 98285-7.
MÍKA, S., KUFNER, A.: Parciální diferenciální rovnice. SNTL, Praha 1983.
Valchářová, J.: Soudobé numerické metody v mechanice kontinua. SNTL, Praha
Planned learning activities and teaching methods
Individual consultations, Tutorials, Project work
Assesment methods and criteria
Tasks are not Defined