651-4003-00L Numerical Modelling of Rock Deformation
|Periodizität||jährlich wiederkehrende Veranstaltung|
|Kurzbeschreibung||Introduction to the programming software Matlab.|
Learning and understanding the continuum mechanics equations describing rock deformation.
Mathematical equations describing rock rheology: elasticity + viscosity.
Introduction to the finite-element method for modeling rock deformation in 2D.
A small applied project-work at the end of the semester will be tailored to the student's interest.
|Lernziel||At the end of this course, the students should be able to|
- Use Matlab for their future needs (e.g., for their MSc Thesis)
- Understand the fundamental concept of the finite-element method
- Apply the finite-element method to successfully work on a small project tailored to the student's interests.
In addition, innovative methods will be applied to mark the performance in the course, which includes self-evaluation and peer-evaluation among the students. Therefore, some soft-skills will be required and trained as well, such as
- honest self-evaluation and self-grading
- providing honest feedback to a colleague in a tone that is acceptable
- receiving feedback from a colleague without taking criticism personal
- learning the procedure of scientific peer-evaluation
|Inhalt||Introduction to Matlab|
Continuum mechanics equations necessary to describe rock deformation
Rheological equations: elasticity + viscous materials
Introduction to the finite-element method (in 1D)
Numerical integration + isoparametric elements
Going to 2D finite elements
Finite-element method for 2D elasticity
Stress calculation + visualization
Finite-element method for 2D viscous materials
Final project-based work tailored to the student's interest.
A substantial part of the lecture will take place in the computer-lab, where numerical finite element codes will be applied. The used software is Matlab. Students may bring their own laptop with a pre-installed copy of Matlab.
|Skript||The script is very diverse and ranges from PowerPoint-based pdf-files, to self-study tutorials. Also, the more theoretical and mathematical aspects will be explained on the black board without a proper script.|
All lecture-presentations, as well as the numerical codes, will be made available to the students online.
|Literatur||There is no mandatory literature. The following literature is recomended:|
Turcotte D.L. and Schubert G., 2002: Geodynamics, Cambridge University Press, ISBN 0-521-66624-4
Pollard D.D. and Fletcher R.C., 2005: Fundamentals of Structural Geology, Cambridge University Press, ISBN 978-0-521-83927-0
Ranalli G., 1995: Rheology of the Earth, Chapman & Hall, ISBN 0-412-54670-1
Smith I.M. and Griffiths D.V., 2004: Programming the Finite Element Method, John Wiley & Sons Ltd, ISBN 978-0-470-849-70-5
Zienkiewicz O.C. and Taylor R.L., 2000: The Finite Element Method - Volume 1: The Basis, Butterworth Heinemann, ISBN 0-7506-5049-4
|Voraussetzungen / Besonderes||A good knowledge of linear algebra is expected.|
The used software is Matlab. So, knowledge of Matlab is advantageous. Students may bring their own laptop with a pre-installed copy of Matlab.