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Mantle Viscosity: What are We Exactly Looking for?

  • L. A. Lliboutry
Chapter
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Part of the NATO ASI Series book series (ASIC, volume 334)

Abstract

Any rheological law must obey the principles of local action, objectivity, and macroscopic determinism, with possible hidden intrinsic variables, as are the lapse of time since loading or unloading, or the past load. Among ten different microscopic processes of creep that are reviewed, non-linear creep by motion of dislocations with dynamic recrystallization is the most plausible. It includes transient creep, that has been studied in rock ice: Andrade’s creep on loading, and reverse logarithmic creep on unloading. Only part of the extra strain on loading is recoverable. After a change in one component of stress, transient creep is observed on all the components. Similarly, the mantle should not be a linear visco-elastic body. When it is modelled as such, the analyses of isostatic adjustments allow to determine apparent visco-elastic parameters at a given instant, but they change with time and have no predictive value.

Keywords

Slip System Deviatoric Stress Simple Shear Lower Mantle Mantle Convection 
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

A good short introduction to the subject might be:

  1. Weertman, J. (1978) ‘Creep laws for the mantle of the Earth’, Phil. Trans. R. Soc. London A, 288, 9–26.CrossRefGoogle Scholar

The extensive literature on the subject is quoted in:

  1. Lliboutry, L. (1987) Very slow flows of solids, Kluwer Acad. Publishers, Dordrecht.CrossRefGoogle Scholar
  2. Peltier, W.R. (1982) ‘Dynamics of ice age Earth’, Adv. Geophys., 24, 1–146.CrossRefGoogle Scholar
  3. Peltier, W.R. ed. (1989) Mantle convection, plate tectonics and global dynamics, Gordon and Breach Sci. Publ., New York.Google Scholar

The main recent articles on creep laws and processes in ice are:

  1. Ashby, M.F. and Duval, P. (1985) ‘The creep of polycrystalline ice’, Cold Regions Sci. Tech., 11, 285–300.CrossRefGoogle Scholar
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Other quoted papers:

  1. Means, W.D. and Jessel, M.W. (1986) ‘Accomodation migration of grain boundaries’, Tectonophysics, 127, 67–86.CrossRefGoogle Scholar
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Copyright information

© Springer Science+Business Media Dordrecht 1991

Authors and Affiliations

  • L. A. Lliboutry
    • 1
  1. 1.Laboratoire de Glaciologie et Géophysique de l’EnvironnementFrance

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