Course Details
Mathematical Modeling of Geotechnical Constructions
Academic Year 2023/24
CF053 course is part of 1 study plan
N-P-C-SI (N) / S Winter Semester 2nd year
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.
Course Guarantor
Institute
Objective
To obtain theoretical basics of the mathematical modelling of geotechnical problems.
To learn to utilise selected software for design of geotechnics structures.
To learn to utilise selected software for design of geotechnics structures.
Knowledge
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.
Syllabus
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.
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.
Prerequisites
Soil mechanics, Foundation Engineering, Underground structures, Elasticity and plasticity.
Language of instruction
Czech
Credits
5 credits
Semester
winter
Forms and criteria of assessment
course-unit credit and examination
Specification of controlled instruction, the form of instruction, and the form of compensation of the absences
Extent and forms are specified by guarantor’s regulation updated for every academic year.
Offered to foreign students
Not to offer
Course on BUT site
Lecture
13 weeks, 2 hours/week, elective
Syllabus
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.
Exercise
13 weeks, 2 hours/week, compulsory
Syllabus
1. Introduction to software Plaxis.
2. Introduction to software Plaxis - continued.
3. Structural and interfaces elements.
4. Numerical analysis of shallow foundation.
5. Numerical analysis of deep foundation.
6. Simulation of laboratory tests.
7. Numerical analysis retaining structure.
8. Numerical analysis retaining structure including ground water flow.
9. Solution of individual example.
10. Presentation of individual example