224-0926 – Mathematical and physical modelling in geotechnics (MFMvG)

Gurantor department	Department of Geotechnics and Underground Engineering
Subject guarantor	doc. RNDr. Eva Hrubešová, Ph.D.
Study level	postgraduate

Subject version
Version code	Year of introduction	Year of cancellation	Credits
224-0926/01	2013/2014		10
224-0926/02	2013/2014		10

Subject aims expressed by acquired skills and competences

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.

Teaching methods

Individual consultations
Tutorials
Project work

Summary

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.

Compulsory literature:

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

Recommended literature:

ZIENKIEWICZ,O.C.;CHAN,A.H.C.;PASTOR,M;SCHREFLER,B.A.;SHIOMI,T.: Computational Geomechanics. Chichester: Wiley, 1999. ISBN 0-471- 98285-7.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.