224-0926/01 – Mathematical and physical modelling v geotechnics (MFMvG)

Gurantor departmentDepartment of Geotechnics and Underground EngineeringCredits10
Subject guarantordoc. RNDr. Eva Hrubešová, Ph.D.Subject version guarantordoc. RNDr. Eva Hrubešová, Ph.D.
Study levelpostgraduateRequirementOptional
YearSemesterwinter + summer
Study languageCzech
Year of introduction2013/2014Year of cancellation
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 Examination 2+0
Combined Examination 16+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. 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.

Way of continuous check of knowledge in the course of semester

E-learning

Další požadavky na studenta

project .......................................................

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

Modelling in Geotechnics ..........................................

Conditions for subject completion

Combined form (validity from: 2013/2014 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Examination Examination  
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2019/2020 (P3655) Civil Engineering (3607V035) Geotechnics P Czech Ostrava Optional study plan
2019/2020 (P3655) Civil Engineering (3607V035) Geotechnics K Czech Ostrava Optional study plan
2018/2019 (P3655) Civil Engineering (3607V035) Geotechnics P Czech Ostrava Optional study plan
2018/2019 (P3655) Civil Engineering (3607V035) Geotechnics K Czech Ostrava Optional study plan
2017/2018 (P3655) Civil Engineering (3607V035) Geotechnics P Czech Ostrava Optional study plan
2017/2018 (P3655) Civil Engineering (3607V035) Geotechnics K Czech Ostrava Optional study plan
2016/2017 (P3655) Civil Engineering (3607V035) Geotechnics P Czech Ostrava Optional study plan
2016/2017 (P3655) Civil Engineering (3607V035) Geotechnics K Czech Ostrava Optional study plan
2015/2016 (P3655) Civil Engineering (3607V035) Geotechnics P Czech Ostrava Optional study plan
2015/2016 (P3655) Civil Engineering (3607V035) Geotechnics K Czech Ostrava Optional study plan
2014/2015 (P3655) Civil Engineering (3607V035) Geotechnics P Czech Ostrava Optional study plan
2014/2015 (P3655) Civil Engineering (3607V035) Geotechnics K Czech Ostrava Optional study plan
2013/2014 (P3655) Civil Engineering (3607V035) Geotechnics P Czech Ostrava Optional study plan
2013/2014 (P3655) Civil Engineering (3607V035) Geotechnics K Czech Ostrava Optional study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner