Course detail

Mathematical Modelling of Geotechnical Constructions

FAST-CF53Acad. year: 2021/2022

Solving of geotechnical problems by means of computers - finite element method. Desription of constituve models of soil (elasticity, linear elastic- perfect plastic, elasto-plastic). Creating numerical models and their relevancy in relation to their actual structure and technological design (input parameters, geometry of model, boundary conditions, load, design, check. Application on case studies (shallow and deep foundation, retaining wall, embankment and cut, underground structure etc.) by geotechnical software (PLAXIS).

Language of instruction

Czech

Number of ECTS credits

5

Guarantor

doc. Ing. Lumír Miča, Ph.D.

Department

Institute of Geotechnics (GTN)

Learning outcomes of the course unit

Main output is acquiring knowledge build-up of mathematical model selected geotechnical problems (slope stability, reinforcement soil, retaining wall and tunnel). It means definition the boundary conditions, selection constitutional models etc. The selected themes are educated on the concrete examples using software on the Department of Geotechnics.

Prerequisites

Knowledge theory of elasticity and plasticity. Knowledge of soil mechanics, foundation and undeground structures.

Co-requisites

Not applicable.

Planned learning activities and teaching methods

Not applicable.

Assesment methods and criteria linked to learning outcomes

Not applicable.

Course curriculum

1. Introduction to modelling.
2. Behaviour of soil (summary).
3. Constitutive models (elasticity, ideal plasticity, Mohr-Coulomb model).
4. Constitutive models (plasticity with hardening).
5. Creation of mathematical modell.
6. Theory and modelling of shallow foundations.
7. Theory and modelling of deep foundations.
8. Theory and modelling rigid retaining walls.
9. Theory and modelling reinforcement structures (nail, geosynthetic).
10.Theory and modelling of flexible retaining walls_part No. 1.
11.Theory and modelling of flexible retaining walls_part No. 2.
12.Theory and modelling of embankments and cuttings.
13.Theory and modelling of undeground structures.

Work placements

Not applicable.

Aims

To obtain theoretical basics of the mathematical modelling of geotechnical problems.
To learn to utilise selected software for design of geotechnics structures.

Specification of controlled education, way of implementation and compensation for absences

Extent and forms are specified by guarantor’s regulation updated for every academic year.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

MASOPUST,J.: Vrtané piloty. Čeněk a Ježek, Praha, 1994. (CS)
HERLE, I.: Základy matematického modelování v geomechanice. Karolinum, Praha, 2003. 802460745X. (CS)
Brinkgreve, R.B.J., et al.: Manuál PLAXIS. PLAXIS BV, Delft, Netherlands, 2011. 978-90-76016-11-5. [http://www.plaxis.nl/shop/135/info/manuals/] (EN)

Recommended reading

GUDEHUS,G.: Finite Elements in Geomechanics. John Wiley & Sons, 1979. (EN)
David M Potts, Lidija Zdravkovic: Finite element analysis in geotechnical engineering - application. Thomas Telford, 2001. 9780727727831. (EN)
D. M. Wood: Geotechnical modelling. Spon Press, 2004. 9780419237303. (EN)

Type of course unit

 

Lecture

26 hours, optionally

Teacher / Lecturer

doc. Ing. Lumír Miča, Ph.D.

Syllabus

1. Introduction to modelling. 2. Behaviour of soil (summary). 3. Constitutive models (elasticity, ideal plasticity, Mohr-Coulomb model). 4. Constitutive models (plasticity with hardening). 5. Creation of mathematical modell. 6. Theory and modelling of shallow foundations. 7. Theory and modelling of deep foundations. 8. Theory and modelling rigid retaining walls. 9. Theory and modelling reinforcement structures (nail, geosynthetic). 10.Theory and modelling of flexible retaining walls_part No. 1. 11.Theory and modelling of flexible retaining walls_part No. 2. 12.Theory and modelling of embankments and cuttings. 13.Theory and modelling of undeground structures.

Exercise

26 hours, compulsory

Teacher / Lecturer

doc. Ing. Lumír Miča, Ph.D.

Syllabus

1. Introduction to software Plaxis 2. Introduction to software Plaxis - continued 3. Simulation of laboratory tests (Mohr-Coulomb) 4. Simulation of laboratory tests (Hardening Soil model) 5. Numerical analysis of shallow foundation 6. Numerical analysis of deep foundation 7. Numerical analysis retaining structure 8. Numerical analysis retaining structure - flowing water 9. Numerical analysis of embankment 10. Numerical analysis of reinforced earth structures 11. Solution individual example 12. Solution individual example - continued 13. Presentation of individual example