Acta Mechanica

, Volume 64, Issue 1–2, pp 63–76 | Cite as

On the energy dissipation and velocity discontinuities in granular materials and solution of a boundary value problem in geophysics

  • D. Harris
Contributed Papers
Received:
Revised:

Summary

Consider the plane-strain rigid-perfectly plastic deformation of a granular material which satisfies the stress equilibrium equations and the Coulomb yield criterion. An expression is derived which enables the rate of energy dissipation to be calculated for any pair of stress and velocity fields. This is specialised to the Spencer-Mehrabadi-Cowin model and a kinematic inequality is obtained. Jump conditions are derived for velocity discontinuities on the boundary and in the interior of the plastic region. A simple analytic solution of the equations of the Mehrabadi-Cowin model is presented for the deformation of a granular material filled joint or fracture separating two rock masses undergoing a shearing motion.

Keywords

Plastic Deformation Fluid Dynamics Rock Mass Velocity Field Energy Dissipation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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References

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Copyright information

© Springer-Verlag 1986

Authors and Affiliations

  • D. Harris
    • 1
  1. 1.Institute of Science and TechnologyUniversity of ManchesterManchesterUK

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