SYLLABUS
Date | Topic | Reading/Homework | Lecturer |
02 OCT | Introduction |
Read: Class notes; Segall, Origins (pp xvii-xxi); Malvern, Chapter 1 |
YF |
05 OCT | Vectors and tensors | Read: Notes | YF |
07 OCT | Elements of tensor algebra | Read: Notes | YF |
09 OCT | Elements of tensor algebra cont'd | Read:Malvern, Chapter 2 | YF |
12 OCT | Coordinate transformations |
Homework 1
Read: Notes |
YF |
14 OCT | Deformation and rigid body motion | Read: notes; Malvern, Chapter 2 | YF |
Stress and strain; Conservation laws | |||
16 OCT | Strain and rotation | Read:class notes; Ranalli Ch. 1.4-1.6 | YF |
19 OCT | Conservation of mass and the continuity equation |
Read: Notes |
YF |
21 OCT | Conservation of linear momentum |
Read: Notes |
YF |
23 OCT | Stress; Principal axes and principal values |
Read: Notes | YF |
26 OCT | Conservation of angular momentum; Equilibrium equations | Homework 2 | |
28 OCT | Conservation of energy | Read: Ranalli, Ch. 2; Malvern, 3.2-3.3; Class notes | YF |
Failure | |||
30 OCT | Frictional sliding; Mohr-Coulomb failure; Anderson's faulting theory |
Read: Suppe, pp. 289-294 | YF |
02 NOV | Rate and state friction | Read: Class notes Homework 3 | YF |
Elasticity | |||
04 NOV | Generalized Hooke's Law |
Read: Malvern Ch. 6.1-6.2 |
YF |
06 NOV |
Generalized Hooke's Law cont'd Compatibility equations | Read: Notes | YF |
09 NOV | Linear elastic solutions for homogeneous deformation |
Read: Malvern Ch. 8.1-8.2 |
YF |
11 NOV | No class: Veterans Day Holiday | Read: | |
13 NOV | Navier-Cauchy equations of motion | Read: Malvern Ch. 8.3-8.4 | YF |
16 NOV | Waves in elastic media |
Read: Class notes Homework 4 |
YF |
18 NOV | Theory of dislocations | Read: Class notes | YF |
20 NOV | Stress concentration; Brittle failure; Elements of fracture mechanics |
Read: Class notes | YF |
Fluid mechanics | |||
23 NOV |
Navier-Stokes equations |
Homework 5
Read: notes; Malvern Ch. 7.1 |
YF |
25 NOV | Some analytic solutions: plane Couette and Poiseuille flows | Read: notes; Malvern Ch. 7.3-7.4 | YF |
27 NOV | No class: Thanksgiving Holiday | Read: | YF |
30 NOV | Some analytic solutions: Stokes flow | Read:Class notes | YF |
02 DEC | Geologic applications (mantle convection, magma flow) |
Homework 6
Read:Class notes | YF |
Viscoelasticity and plasticity | |||
04 DEC | Constitutive equations for the Maxwell and standard linear solids | Read: Ranalli Ch. 4.6; Class notes | YF |
07 DEC | Transient deformation in the Earth's crust and mantle; Post-glacial rebound, post-seismic relaxation |
Read: Class notes |
YF |
09 DEC | Deformation of rocks in the ductile regime; Power-law rheology; Dislocation and diffusion creep |
Read: Class notes | YF |
11 DEC | Harmonic excitation and Q; Attenuation of travelling waves | Read: Class notes | YF |
18 DEC | Final exam | 08:00-11:00 am | 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.