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# 651-4003-00L  Numerical Modelling of Rock Deformation

 Semester Herbstsemester 2016 Dozierende M. Frehner Periodizität jährlich wiederkehrende Veranstaltung Lehrsprache Englisch

 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 MatlabContinuum mechanics equations necessary to describe rock deformationRheological equations: elasticity + viscous materialsIntroduction to the finite-element method (in 1D)Numerical integration + isoparametric elementsGoing to 2D finite elementsFinite-element method for 2D elasticityStress calculation + visualizationFinite-element method for 2D viscous materialsHeterogeneous mediaFinal 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 0-521-66624-4Pollard D.D. and Fletcher R.C., 2005: Fundamentals of Structural Geology, Cambridge University Press, ISBN 978-0-521-83927-0Ranalli G., 1995: Rheology of the Earth, Chapman & Hall, ISBN 0-412-54670-1Smith I.M. and Griffiths D.V., 2004: Programming the Finite Element Method, John Wiley & Sons Ltd, ISBN 978-0-470-849-70-5Zienkiewicz 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.