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| Titel |
A viscoelastic Rivlin-Ericksen material model applicable to glacier ice |
| VerfasserIn |
P. Riesen, K. Hutter, M. Funk |
| Medientyp |
Artikel
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| Sprache |
Englisch
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| ISSN |
1023-5809
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| Digitales Dokument |
URL |
| Erschienen |
In: Nonlinear Processes in Geophysics ; 17, no. 6 ; Nr. 17, no. 6 (2010-12-01), S.673-684 |
| Datensatznummer |
250013757
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| Publikation (Nr.) |
 copernicus.org/npg-17-673-2010.pdf |
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| Zusammenfassung |
| We present a viscoelastic constitutive relation which describes transient
creep of a modified second grade fluid enhanced with elastic properties of a
solid. The material law describes a Rivlin-Ericksen material and is
a generalization of existing material laws applied to study the viscoelastic
properties of ice. The
intention is to provide a formulation tailored to reproduce
the viscoelastic behaviour of ice ranging from the instantaneous elastic
response, to recoverable deformation, to viscous, stationary flow
at the characteristic minimum creep rate associated with the deformation of
polycrystalline ice.
We numerically solve the problem of a slab of material shearing down a uniformly
inclined plate. The equations are made dimensionless in a form in which
elastic effects and/or the influence of higher order terms (i.e., strain
accelerations) can be compared with viscous creep at the minimum creep
rate by means of two dimensionless parameters.
We discuss the resulting material behaviour and the features exhibited at
different parameter combinations. Also, a viable range of the
non-dimensional parameters is estimated in the scale analysis. |
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