224-0901/01 – Mathematical and Physical Modelling in Rock Engineering (MFMGI)

Gurantor departmentDepartment of Geotechnics and Underground EngineeringCredits5
Subject guarantordoc. RNDr. Eva Hrubešová, Ph.D.Subject version guarantordoc. RNDr. Eva Hrubešová, Ph.D.
Study levelpostgraduateRequirementOptional
YearSemesterwinter + summer
Study languageCzech
Year of introduction2006/2007Year of cancellation2012/2013
Intended for the facultiesFAST, HGFIntended for study typesDoctoral
Instruction secured by
LoginNameTuitorTeacher giving lectures
HRU30 doc. RNDr. Eva Hrubešová, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 10+0
Part-time Credit and Examination 10+0

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. 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, apply the corresponding mathematical model and formulate and analyze the results.

Teaching methods

Individual consultations
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 back analysis methods and their application to input data objectification of mathematical models and increase their explanatory power.

Compulsory literature:

Potts, D. Zdravkovic, L. Finite element analysis in geotechnical engineering. Telford, 1999. ISBN 0 72772753 2. Gioda, Z.: Modeling in Geomechanics. Wiley 2000. Baecher, G.B., Christian, J.T. Reliability and Statistics in Geotechnical Engineering. Wiley, 2003. ISBN 0-471-49833-5.

Recommended literature:

Bull, J.W. Numerical Analysis and Modeling in Geomechanics. Spon Press. 2003. ISBN 0-415-24328-9.

Way of continuous check of knowledge in the course of semester

E-learning

Další požadavky na studenta

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

1. Základy matematického a fyzikálního modelování, základní principy, typy metod. 2. Výchozí rovnice a vztahy matematických modelů 3. Základní konstitutivní modely chování zemin a hornin 4. Metoda konečných prvků a její aplikace při řešení úloh z oblasti horninového inženýrství 5. Charakteristika a možnosti aplikace metody hraničních prvků 6. Metoda konečných diferencí, principy, aplikace 7. Metoda oddělených elementů, podstata, aplikační možnosti 8. Stochastické modelování (simulační metoda Monte Carlo, metoda LHS) 9. Inverzní analýza a její využití pro spolehlivější stanovení charakteristik horninového prostředí

Conditions for subject completion

Full-time form (validity from: 1960/1961 Summer semester, validity until: 2011/2012 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Exercises evaluation and Examination Credit and Examination 100 (145) 51
        Examination Examination 100  0
        Exercises evaluation Credit 45  0
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2011/2012 (P3607) Civil Engineering (3607V035) Geotechnics P Czech Ostrava Optional study plan
2011/2012 (P3607) Civil Engineering (3607V035) Geotechnics K Czech Ostrava Optional study plan
2010/2011 (P3607) Civil Engineering (3607V035) Geotechnics P Czech Ostrava Optional study plan
2010/2011 (P3607) Civil Engineering (3607V035) Geotechnics K Czech Ostrava Optional study plan
2009/2010 (P3607) Civil Engineering (3607V035) Geotechnics P Czech Ostrava Optional study plan
2009/2010 (P3607) Civil Engineering (3607V035) Geotechnics K Czech Ostrava Optional study plan
2008/2009 (P3607) Civil Engineering (3607V035) Geotechnics K Czech Ostrava Optional study plan
2008/2009 (P3607) Civil Engineering (3607V035) Geotechnics P Czech Ostrava Optional study plan
2007/2008 (P3607) Civil Engineering (3607V035) Geotechnics K Czech Ostrava Optional study plan
2007/2008 (P3607) Civil Engineering (3607V035) Geotechnics P Czech Ostrava Optional study plan
2006/2007 (P3607) Civil Engineering (3607V035) Geotechnics K Czech Ostrava Optional study plan
2006/2007 (P3607) Civil Engineering (3607V035) Geotechnics P Czech Ostrava Optional study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner