Continuum Mechanics
 

Topics include:

1. Introduction to continuum mechanics
  
· Terminology of continuum mechanics
   · Tensor notation
2. Stress and strain
   · Stress tensor
   · Strain, strain rate
3. Elasticity
   · Dilation, Lamé parameters, Young modulus, Posson's ratio, etc.
   · Plane stress/strain, uniaxial strain, pure and simple shear
4. Flexure of plates (T+S, 3-9:3-18)
   · Thin plate
   · Beams
5. Fluid mechanics: stress and strain
   · Viscosity
6. Fluid mechanics: flow
   · Stream function
7. Flow past obstacles
   · Stoke's flow, dimensional analysis
8. Rock rheology (T+S, 7)
   · Deformation mechanism, non-linear, temperature dependence
   · Ductile, brittle deformation
9. Rheological models
   · Bingham, Maxwell, plastic, …

Books:

  • Turcotte, D. L., and G. Schubert, Geodynamics, second edition. Cambridge. Geodynamics on Amazon.co.uk
  • Lecture notes

Other useful books:

  • Jaeger, J. C., and N. G. W. Cook. 1979. Fundamentals of rock mechanics. Chapman and Hall, London, 593 p.
  • Nye, J. F. 1985. Physical properties of crystals. Oxford.
  • Segel, L. A. 1987. Mathematics applied to continuum mechanics. Dover, 590 p ($15).

Grading:

Variable, depending on whether a reading class or not.  But generally:

Final Exam ~60%, problem sets and other ~40%.


Ţröstur Ţorsteinsson,