Course detail

Mathematical Modelling of Geotechnical Constructions

FAST-CF53Acad. year: 2012/2013

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

Mode of study

Not applicable.

Guarantor

doc. Ing. Lumír Miča, Ph.D.

Department

Institute of Geotechnics (GTN)

Learning outcomes of the course unit

Student acquires knowledge and skills in the application of numerical methods for the solution of selected geotechnical problems:
  - The basics to the plastic behavior of soils
  - Essential aspects of selected constitutive models for soils.
  - Specific numerical methods for geotechnical applications
Acquired skills:
- Creation of a numerical model
- Analysis and evaluation of the results of the numerical model

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

Practice takes the form of individual work on the PC. Student deals with the selected examples of geotechnical structures (a common theme). At the end of the semester the student demonstrates knowledge and skills on an individual example, that at the end of orally presented.
Generally - teaching methods depend on the type of course unit as specified in the article 7 of BUT Rules for Studies and Examinations.

Assesment methods and criteria linked to learning outcomes

Requirements for credit:
- Participation in education,
- Solve the separate tasks (joint award)
- Solving a separate task completed his oral presentations.

Requirements for passing the test (evaluated two parts):
  - Practical - example - the creation of the model and its analysis (outputs)
  - Theoretical - test the theoretical knowledge of the subject matter in the form of a written examination followed by an oral part.

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

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)
HERLE, I.: Základy matematického modelování v geomechanice. Karolinum, Praha, 2003. 802460745X. (CS)
MASOPUST,J.: Vrtané piloty. Čeněk a Ježek, Praha, 1994. (CS)

Recommended reading

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

Classification of course in study plans

  • Programme B-P-C-SI Bachelor's

    branch K , 4 year of study, summer semester, elective

  • Programme B-P-C-ST Bachelor's

    branch K , 3 year of study, summer semester, elective

Type of course unit

 

Lecture

26 hod., 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 hod., 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