SYLLABUS
| Date | Topic | Reading/Homework | Lecturer |
| 28 SEP | Introduction |
Read: Class notes |
YF |
| 01 OCT | Tensors | Read: Notes; Malvern, Chapter 2 | YF |
| 03 OCT | Elements of tensor algebra | Read: Notes; Malvern, Chapter 2 | YF |
| 05 OCT | Coordinate transformations |
Homework 1
Read: Malvern, Chapter 2 |
YF |
| 08 OCT | Deformation and rigid body motion | Read: notes; Malvern, Chapter 2 | YF |
| Stress and strain; Conservation laws | |||
| 10 OCT | Strain and rotation | Read:class notes; Ranalli Ch. 1.4-1.6 | YF |
| 12 OCT | Conservation of mass and the continuity equation |
Read: Notes |
YF |
| 15 OCT | No class | Read: Notes | YF |
| 17 OCT | Conservation of linear momentum |
Read: Notes |
YF |
| 19 OCT | Stress; Principal axes and principal values | Read: Notes; Homework 2 | YF |
| 22 OCT | Conservation of angular momentum; Equilibrium equations | Read: Notes | YF |
| 24 OCT | Conservation of energy; Mohr's diagrams | Read: Ranalli, Ch. 2; Malvern, 3.2-3.3; Class notes | YF | Failure |
| 26 OCT | Frictional sliding; Mohr-Coulomb failure; Anderson's faulting theory |
Read: Suppe, pp. 289-294 | YF |
| 29 OCT | Rate and state friction | Read: Class notes | YF | Elasticity |
| 31 OCT | Generalized Hooke's Law |
Homework 3
Read: Malvern Ch. 6.1-6.2 |
YF |
| 02 NOV | Linear elastic solutions for homogeneous deformation |
Read: Malvern Ch. 8.1-8.2 |
YF |
| 05 NOV | Navier-Cauchy equations of motion | Read: Malvern Ch. 8.3-8.4 | YF |
| 07 NOV | Waves in elastic media |
Homework 4
Read: Class notes |
YF |
| 09 NOV | Theory of dislocations | Read: Class notes | YF |
| 12 NOV | No class: Veterans Day Holiday | Read: | Fluid mechanics |
| 14 NOV |
Navier-Stokes equations |
Read: Malvern Ch. 7.1 | YF |
| 16 NOV | Some analytic solutions: plane Couette and Poiseuille flows |
Homework 5
Read: notes; Malvern Ch. 7.3-7.4 |
YF |
| 19 NOV | Geologic applications (mantle convection, magma flow) | Read:Class notes | YF | Viscoelasticity and plasticity |
| 21 NOV | Constitutive equations for the Maxwell and standard linear solids | Read: Ranalli Ch. 4.6; Class notes | YF |
| 23 NOV | No class: Thanksgiving Holiday | Read: | YF |
| 26 DEC | Transient deformation in the Earth's crust and mantle; Post-glacial rebound, post-seismic relaxation |
Read: Class notes |
YF |
| 28 NOV | Deformation of rocks in the ductile regime; Power-law rheology; Dislocation and diffusion creep |
Read: Class notes | YF |
| 30 NOV | Stress concentration; Brittle failure; Elements of fracture mechanics | Read: Class notes | YF |
| 3-7 DEC | No class: AGU | Read: | |
| 10 DEC | Final exam | 11:30 am-2:30 pm | YF |
Textbooks:
Earthquake and Volcano Deformation, P. Segall, Princeton University Press, 458 pp., 2010.
Introduction to the mechanics of a continuous medium, L. E. Malvern, Prentice-Hall, Englewood Cliffs, NJ, 1969.
Reference Books:
Rheology of the Earth. Deformation and flow processes in geophysics and geodynamics Ranalli, G., Allen & Unwin, Boston, MA, 1986.
Theory of Elasticity, Landau, L., and E. Lifshitz, Oxford University Press,
1986; (Chapters 1, 3)
Principles of structural geology, J. Suppe, Prentice-Hall, Englewood Cliffs, NJ, 1985.
An introduction to fluid dynamics, Batchelor, G.K., Cambridge University Press
Computer Homework:
Computer homework can be done most easily by using MATLAB
which runs on most machines. If you do not have a computer account
we will set you up.