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12.005

Applications of Continuum Mechanics to Earth, Atmospheric, and Planetary Sciences

Undergraduate · Historical course

Spring 2006

Topics

  • Course Overview
  • Tractions
  • Stress Tensor
  • Stress Tensor (cont.)
  • Stress Tensor in Different Coordinate Systems
  • Pore Fluid Pressure
  • Newton’s Second Law
  • Stress in the Earth
  • Stress Rotation
  • Sandbox Tectonics
  • Sandbox Tectonics - Simple Theory
  • Displacement Gradients
  • Measurement of Displacement Gradient Tensor
  • Finite Strain
  • Elasticity
  • Simple Example: Uniaxial Strain
  • Special Cases
  • Dislocation in Elastic Halfspace Model of the Earthquake Cycle
  • Stress and Strain from a Screw Dislocation
  • Plates
  • Plates (cont.)
  • Plates Summary and Fluids
  • Fluids (cont.)
  • Navier Stokes Equation
  • Growth and Decay of Boundary Undulations
  • Flow in Porous Media
  • Time Dependent Porous Flow

Readings

  • Schubert, G., D. L. Turcotte, and J. Schubert. Geodynamics . Cambridge, MA; New York, NY: Cambridge University Press, 2001. ISBN: 9780521666244.
    Listed reading
  • Middleton, G. V., and P. R. Wilcock. Mechanics in the Earth and Environmental Sciences . Cambridge, MA; New York, NY: Cambridge University Press, 1994. ISBN: 9780521446693.
    Listed reading
Sources