Creep-Velocity Bounds and Glacier-Flow Problems
Open Access
- 1 January 1967
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Glaciology
- Vol. 6 (46) , 479-488
- https://doi.org/10.1017/S0022143000019699
Abstract
A general result due to Martin can be used to find upper and lower bounds on velocities in steady-creep problems. This method can be applied to glacier flow if ice can be assumed to satisfy a powerlaw stress–strain-rate relation. Bounds on the mean velocity over the glacier cross-section and on the mean velocity on the surface are determined for a particular example (a uniform parabolic channel, with powerlaw exponent 3) and they are shown to bound quite closely the exact solutions due to Nye. Bounds can be found rapidly by hand calculation. The method can be applied to real glacier cross-sections measured in the field.Keywords
This publication has 4 references indexed in Scilit:
- A Note on the Determination of an Upper Bound on Displacement Rates for Steady Creep ProblemsJournal of Applied Mechanics, 1966
- The Flow of a Glacier in a Channel of Rectangular, Elliptic or Parabolic Cross-SectionJournal of Glaciology, 1965
- A displacement bound technique for elastic continua subjected to a certain class of dynamic loadingJournal of the Mechanics and Physics of Solids, 1964
- The creep of polycrystalline iceProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1955