Course detail
Mathematical Modeling of Geotechnical Constructions
FAST-BFB008Acad. year: 2023/2024
The course is mainly focused on geotechnical constructions analyses using the finite element method. In the first part of the course, basics of continuum mechanics will be repeated. The major emphasis is placed on a description of soil constitutive models, starting with the simplest elastic models, continuing with more complicated models involving plastic (irreversible) component of strain. In the following part of the course, students will become familiar with the process of creating a mathematical model both from a theoretical and practical point of view. Acquired knowledge will be applied in order to solve various types of geotechnical constructions (shallow foundations, deep foundations, earth retaining structures, embankments, cuts, underground structures) using Plaxis 2D software. In the last part of the course, students will prepare and present their individual projects.
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Aims
To learn to utilise selected software for design of geotechnics structures.
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.
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Basic literature
DAVIS, Robert Olin; SELVADURAI, Antony PS. Plasticity and geomechanics. Cambridge university press, 2005. 9781139436526 (EN)
DESAI, Chandrakant S. Elementary Finite Element Method. Prentice Hall, 1978. 9780132566360 (EN)
HERLE, Ivo. Základy matematického modelování v geomechanice. Praha: Karolinum, Učební texty Univerzity Karlovy v Praze, 2003. 802460745X (CS)
NAKAI, Teruo. Constitutive Modeling of Geomaterials: Principles and Applications. CRC Press, 2012. 978-0415557269 (EN)
POTTS, David M., et al. Finite element analysis in geotechnical engineering: application. London: Thomas Telford, 2001. ISBN 0-72-772783-4 (EN)
POTTS, David M., et al. Finite element analysis in geotechnical engineering: theory. London: Thomas Telford, 1999. ISBN 0-7277-2753-2 (EN)
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