Mathematical Modeling of Geotechnical Constructions
FAST-CF053Acad. year: 2019/2020
The content of the course is mainly focused on the solving the geotechnical constructions using mathematical modeling (finite element method). In the first part of the course, basics of continuum mechanics will be repeated. Emphasis is put on a description of soil constitutive modes, starting with the simplest elastic models, continuing with more complicated models involving plastic (irreversible) component of deformation. In the following part of the course, students will be familiar with process of creating a mathematical model both from a theoretical and practical point of view. Acquired knowledge will be applied in order to solve particular geotechnical constructions (shallow foundations, deep foundations, earth retaining structures, embankments, cuts, underground structures) using Plaxis 2D software. In the last part of the course, student will prepare and present term projects.
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.
Soil mechanics, Foundation Engineering, Underground structures, Elasticity and plasticity.
Recommended optional programme components
Recommended or required reading
Planned learning activities and teaching methods
Assesment methods and criteria linked to learning outcomes
Language of instruction
1. Introduction, basic aspects and reasons of applying numerical methods in geotechnics, examples of practical applications.
2. Continuum mechanics – summarization, review of numerical methods.
3. Introduction to the finite element method.
4. Review of soil constitutive models. Linear, non-linear elasticity.
5. Introduction to the plastic behavior of geomaterials.
6. Ideally plastic constitutive models.
7. Elastic – plastic constitutive models with hardening.
8. Theory and modeling of earth retaining structures I (gravity walls, cantilever embedded walls).
9. Theory and modeling of earth retaining structures II (propped, anchored walls, reinforced earth walls).
10. Undrained versus drained analysis, consolidation analysis.
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.
Classification of course in study plans