SubjectsSubjects(version: 901)
Course, academic year 2022/2023
Mathematical Modelling in Geomechanics II - MG451P71
Title: Matematické modelování v geomechanice II
Guaranteed by: Institute of Hydrogeology, Engineering Geology and Applied Geophysics (31-450)
Faculty: Faculty of Science
Actual: from 2020
Semester: winter
E-Credits: 4
Examination process: winter s.:
Hours per week, examination: winter s.:2/1 C+Ex [hours/week]
Capacity: unlimited
Min. number of students: unlimited
Virtual mobility / capacity: no
State of the course: taught
Language: English
Explanation: Výuka probíhá s ohledem na situaci dle nařízení hyg. stanice hl.m. Prahy a MŠMT
Note: enabled for web enrollment
Guarantor: prof. RNDr. David Mašín, Ph.D.
Teacher(s): prof. RNDr. David Mašín, Ph.D.
Pre-requisite : MG451P65
Opinion survey results   Examination dates   Schedule   
Annotation -
Last update: DATEL (30.04.2002)
Part 2 of the 2 - term lecture. The course covers foundations of the mathematical modelling needed for solving boundary value problems in geomechanics. Special attention is paid to the formulation of constitutive models for soils and to the overview of numerical methods used in modern software. Exercises with the FE code Tochnog stimulate individual training of the subject.
Literature - Czech
Last update: DATEL (19.05.2005)

Brinkgreve R.B.J. et al. (2002). Plaxis 2D-Version 8, user manual. A.A.Balkema.

Herle, I. (2003) Základy matematického modelování v geomechanice. UK Praha, Karolinum.

Muir Wood, D. (2004) Geotechnical modelling. Ed. Applied Geotechnics, Spon Press, London

Crisfield, M.A. (1997) Non-linear finite element analysis of solids and structures. Vol. I: Essentials. Wiley, Chichester.

Requirements to the exam - Czech
Last update: prof. RNDr. David Mašín, Ph.D. (01.11.2011)

Zápočet: Průběžné odevzdávání všech úloh v rámci cvičení.

Zkouška: Zkouška písemná (teorie vyučovaná v rámci předmětu Matematické modelování v geomechanice I), plus zkouška praktická (řešení zadané geotechnické úlohy pomocí metody konečných prvků).

Syllabus -
Last update: DATEL (23.05.2005)

1. Finite Element program Plaxis

Program popular in engineering practice.

Introduction to the program, specification of geometry, input of material properties (constitutive law and parameters), boundary conditions, initial conditions. Mesh generation. Calculation controll in phases. Post-processing including animations.

Application for typical geotechnical problems:

Drained triaxial test. Settlement of circular footing, rigid and flexible. Submerged construction of an excavation. Undrained river embankment. Dry excavation using a tie back wall. Construction of a road embankment. Settlement due to tunnel construction.

2. Finite Element program Tochnog.

Program used in research and for complex analyses.

Introduction to the program, input file for a simple problem (drained triaxial test). Pre- and post-processor GiD. Mesh generation, post-processing including animations.

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