651-5202-00L Analytical Solutions for Deformation Structures
|Semester||Spring Semester 2016|
|Periodicity||two-yearly recurring course|
|Course||Does not take place this semester.|
|Language of instruction||English|
|Abstract||The course consists of theoretical lectures (1/3) and practical exercises (2/3). In the lectures the concepts of continuum mechanics, dimensional analysis and analytical solutions for the equations of continuum mechanics will be discussed and explained. Both deformations of solids and fluids will be discussed.|
|Objective||The main aim is that the participants learn how to derive and apply analytical solutions of continuum mechanics to quantify deformation processes which generated geological structures such as faults, fractures, nappes, shear zones, boudins or folds. |
Another aim is that the participants learn the application of dimensional analysis to analytical solutions in order to reduce the number of model parameters and to make the solutions generally valid.
|Content||Friction at the base of thrust sheets (the overthrust paradox and application to Glarus thrust).|
Solutions for elastic deformations using Airy stress function
- 2D stress field in an elastic thrust block. Application to listric faults.
- 2D stress field in an elastic plate with spherical hole. Application to fracture propagation.
Solutions for viscous deformations
- 1D velocity profile across ductile shear zones with temperature dependent viscosity. Application to fold nappes.
- Nonlinear solution for viscous necking. Application to pinch-and-swell and slab detachment.
- Nonlinear solution for high amplitude folding. Application to strain and competence contrast estimation from fold shapes.
|Prerequisites / Notice||Basic knowledge of tectonics and structural geology and basic experience with MATLAB is advantageous.|
Exercises will be mainly done with computers using the software MATLAB and Maple but some exercises are done using pencil and paper.