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651-4003-00L  Numerical Modelling of Rock Deformation

SemesterHerbstsemester 2016
DozierendeM. Frehner
Periodizitätjährlich wiederkehrende Veranstaltung

KurzbeschreibungIntroduction 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.
LernzielAt 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
InhaltIntroduction 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
Heterogeneous media
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.
SkriptThe 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.
LiteraturThere 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 / BesonderesA 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.