SYLLABUS
| Date | Topic | Reading/Homework | Lecturer |
| 25 SEP | Introduction | Homework 0 Read: Malvern, Chapter 1 |
YF |
| 27 SEP | Tensors | Read: Notes; Malvern, Chapter 2 | YF |
| 29 SEP | Elements of tensor algebra | Read: Notes; Malvern, Chapter 2 | YF |
| 02 OCT | Coordinate transformations | Homework 1 Read: Malvern, Chapter 2 |
YF |
| 04 OCT | Deformation and rigid body motion | Read: Malvern, Chapter 2 | YF |
| Stress and strain; Conservation laws | |||
| 06 OCT | Strain and rotation | Read: Web notes; Ranalli Ch. 1.4-1.6 | YF |
| 09 OCT | Conservation laws |
Homework 2 (assigned in class)
Read: |
YF |
| 11 OCT | Stress | Read: Notes | YF |
| 13 OCT | Stress cont'd | Read: | YF |
| 16 OCT | Eigenvalues and eigenvectors of 2nd rank tensors | Homework 3: Problems 10 and 20 in Malvern Section 3.2 Read: Notes | YF |
| 18 OCT | Principal axes of deformation; Mohr's diagrams |
Read: Ranalli, Ch. 2; Malvern, 3.2-3.3; Class notes |
YF | Elasticity |
| 20 OCT |
Quiz on tensors and stress/strain Generalized Hooke's Law |
Read: Malvern Ch. 6.1-6.2 | YF |
| 23 OCT |
Generalized Hooke's Law cont'd Compatibility equations |
Homework 4 Read: Notes | YF |
| 25 OCT | Linear elastic solutions for homogeneous deformation | Read: Malvern Ch. 8.1-8.2 | YF |
| 27 OCT | Navier-Cauchy equations of motion | Read: Malvern Ch. 8.3-8.4 | YF |
| 30 OCT | Elastodynamics | Read: Class notes | YF |
| 01 NOV | Strain energy function; Strain compatibility | Read: Class notes | YF |
| 03 NOV | St. Venant principle | Homework 5 Read: Class notes |
YF |
| 06 NOV | Theory of dislocations | Read: Class notes | YF | Fluid mechanics |
| 08 NOV |
Navier-Stokes equations |
Read: Malvern Ch. 7.1 | YF |
| 10 NOV | No class: Veterans Day Holiday | Read: | |
| 13 NOV | Plane Couette and Poiseuille flows; geologic applications (mantle convection, magma flow) | Homework 6 Read: Read: Malvern Ch. 7.3-7.4; Class notes |
YF | Viscoelasticity and plasticity |
| 15 NOV | Constitutive equations for the Maxwell and standard linear solids | Read: Ranalli Ch. 4.6; Class notes | YF |
| 17 NOV | Transient deformation in the Earth's crust and mantle; Post-glacial rebound, post-seismic relaxation |
Read: Class notes |
YF |
| 20 NOV | Harmonic excitation and Q; Attenuation of travelling waves | Read: Class notes | YF |
| 22 NOV | Deformation of rocks in the ductile regime; Power-law rheology; Dislocation and diffusion creep |
Read: Class notes |
YF |
| 24 NOV | No class: Thanksgiving Holiday | Read: | YF | Brittle deformation |
| 27 NOV | Stress concentration; Brittle failure; Elements of fracture mechanics | Read: Class notes | YF |
| 29 NOV | Frictional sliding; Mohr-Coulomb failure | Homework 7 Read: Suppe, pp. 289-294 |
YF |
| 01 DEC | Rate and state friction; physics of friction at high sliding velocities | Read: Class notes | YF |
| 06 DEC | Final exam | 1-4 pm | YF |
Textbooks:
Introduction to the mechanics of a continuum 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.