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Nonlinear Processes in Geophysics An interactive open-access journal of the European Geosciences Union
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Volume 5, issue 2
Nonlin. Processes Geophys., 5, 81–92, 1998
https://doi.org/10.5194/npg-5-81-1998
© Author(s) 1998. This work is licensed under
the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.
Nonlin. Processes Geophys., 5, 81–92, 1998
https://doi.org/10.5194/npg-5-81-1998
© Author(s) 1998. This work is licensed under
the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.

  30 Jun 1998

30 Jun 1998

On the nonlinear dynamics of rupture

H. Ockendon1 and D. L. Turcotte1,2 H. Ockendon and D. L. Turcotte
  • 1Center for Industrial and Applied Mathematics, Mathematical Institute, Oxford OX1 3CB, England
  • 2Department of Geological Sciences, Cornell University, Ithaca, NY 14853, USA

Abstract. The rupture on a fault resulting in an earthquake is clearly a complex process. In order to better understand this process the continuum version of the slider-block model has been considered in some detail. In particular, the role of a cohesive breakaway zone is considered. Solutions of a "piston" problem and a "shock-tube" problem are obtained. For the "dirven" problem the cohesive breakaway solution is combined with a viscous resistance on the fault to obtain solutions that are reasonably realistic in terms of fault rupture.

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