Ice internal friction: standard theoretical perspectives on friction codified, adapted for the unusual rheology of ice, and unified
Abstract Sea ice contains flaws including frictional contacts. We aim to describe quantitatively the mechanics of those contacts, providing local physics for geophysical models. With a focus on the internal friction of ice, we review standard micro-mechanical models of friction. The solid's def...
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fttrinitycoll:oai:tara.tcd.ie:2262/47725 2023-05-15T18:18:56+02:00 Ice internal friction: standard theoretical perspectives on friction codified, adapted for the unusual rheology of ice, and unified 2010-12-15T08:58:42Z http://hdl.handle.net/2262/47725 https://doi.org/10.1080/14786430903113769 en eng Taylor & Francis 1478-6435 (ISSN) TPHM (PII) TPHM-08-Oct-0381.R2 (manuscript) TPHM-08-Oct-0381.R2 (publisherID) http://hdl.handle.net/2262/47725 Philosophical Magazine 89 31 2771 2799 doi:10.1080/14786430903113769 12 months Physical Sciences 2010 fttrinitycoll https://doi.org/10.1080/14786430903113769 2020-02-16T13:50:36Z Abstract Sea ice contains flaws including frictional contacts. We aim to describe quantitatively the mechanics of those contacts, providing local physics for geophysical models. With a focus on the internal friction of ice, we review standard micro-mechanical models of friction. The solid's deformation under normal load may be ductile or elastic. The shear failure of the contact may be by ductile flow, brittle fracture, or melting and hydrodynamic lubrication. Combinations of these give a total of six rheological models. When the material under study is ice, several of the rheological parameters in the standard models are not constant, but depend on the temperature of the bulk, on the normal stress under which samples are pressed together, or on the sliding velocity and acceleration. This has the effect of making the shear stress required for sliding dependent on sliding velocity, acceleration, and temperature. In some cases, it also perturbs the exponent in the normal-stress dependence of that shear stress away from the value that applies to most materials. We unify the models by a principle of maximum displacement for normal deformation, and of minimum stress for shear failure, reducing the controversy over the mechanism of internal friction in ice to the choice of values of four parameters in a single model. The four parameters represent, for a typical asperity contact, the sliding distance required to expel melt-water, the sliding distance required to break contact, the normal strain in the asperity, and the thickness of any ductile shear zone. d.hatton@ucl.ac.uk (Hatton, Daniel Christopher) p.sammonds@ucl.ac.uk (Sammonds, Peter R) dlf@cpom.ucl.ac.uk (Feltham, Daniel L) University College London, Earth Sciences Department - Gower Street--> - WC1E 6BT - London - UNITED KINGDOM (Hatton, Daniel Christopher) Cambridge University, Department of Applied Mathematics and Theoretical Physics - Wilberforce Road--> - CB3 0WA - Cambridge - UNITED KINGDOM (Hatton, Daniel Christopher) University College London, Earth Sciences Department - London - UNITED KINGDOM (Sammonds, Peter R) University College London, Earth Sciences Department - London - UNITED KINGDOM (Feltham, Daniel L) UNITED KINGDOM Other/Unknown Material Sea ice The University of Dublin, Trinity College: TARA (Trinity's Access to Research Archive) Philosophical Magazine 89 31 2771 2799 |
institution |
Open Polar |
collection |
The University of Dublin, Trinity College: TARA (Trinity's Access to Research Archive) |
op_collection_id |
fttrinitycoll |
language |
English |
topic |
Physical Sciences |
spellingShingle |
Physical Sciences Ice internal friction: standard theoretical perspectives on friction codified, adapted for the unusual rheology of ice, and unified |
topic_facet |
Physical Sciences |
description |
Abstract Sea ice contains flaws including frictional contacts. We aim to describe quantitatively the mechanics of those contacts, providing local physics for geophysical models. With a focus on the internal friction of ice, we review standard micro-mechanical models of friction. The solid's deformation under normal load may be ductile or elastic. The shear failure of the contact may be by ductile flow, brittle fracture, or melting and hydrodynamic lubrication. Combinations of these give a total of six rheological models. When the material under study is ice, several of the rheological parameters in the standard models are not constant, but depend on the temperature of the bulk, on the normal stress under which samples are pressed together, or on the sliding velocity and acceleration. This has the effect of making the shear stress required for sliding dependent on sliding velocity, acceleration, and temperature. In some cases, it also perturbs the exponent in the normal-stress dependence of that shear stress away from the value that applies to most materials. We unify the models by a principle of maximum displacement for normal deformation, and of minimum stress for shear failure, reducing the controversy over the mechanism of internal friction in ice to the choice of values of four parameters in a single model. The four parameters represent, for a typical asperity contact, the sliding distance required to expel melt-water, the sliding distance required to break contact, the normal strain in the asperity, and the thickness of any ductile shear zone. d.hatton@ucl.ac.uk (Hatton, Daniel Christopher) p.sammonds@ucl.ac.uk (Sammonds, Peter R) dlf@cpom.ucl.ac.uk (Feltham, Daniel L) University College London, Earth Sciences Department - Gower Street--> - WC1E 6BT - London - UNITED KINGDOM (Hatton, Daniel Christopher) Cambridge University, Department of Applied Mathematics and Theoretical Physics - Wilberforce Road--> - CB3 0WA - Cambridge - UNITED KINGDOM (Hatton, Daniel Christopher) University College London, Earth Sciences Department - London - UNITED KINGDOM (Sammonds, Peter R) University College London, Earth Sciences Department - London - UNITED KINGDOM (Feltham, Daniel L) UNITED KINGDOM |
title |
Ice internal friction: standard theoretical perspectives on friction codified, adapted for the unusual rheology of ice, and unified |
title_short |
Ice internal friction: standard theoretical perspectives on friction codified, adapted for the unusual rheology of ice, and unified |
title_full |
Ice internal friction: standard theoretical perspectives on friction codified, adapted for the unusual rheology of ice, and unified |
title_fullStr |
Ice internal friction: standard theoretical perspectives on friction codified, adapted for the unusual rheology of ice, and unified |
title_full_unstemmed |
Ice internal friction: standard theoretical perspectives on friction codified, adapted for the unusual rheology of ice, and unified |
title_sort |
ice internal friction: standard theoretical perspectives on friction codified, adapted for the unusual rheology of ice, and unified |
publisher |
Taylor & Francis |
publishDate |
2010 |
url |
http://hdl.handle.net/2262/47725 https://doi.org/10.1080/14786430903113769 |
genre |
Sea ice |
genre_facet |
Sea ice |
op_relation |
1478-6435 (ISSN) TPHM (PII) TPHM-08-Oct-0381.R2 (manuscript) TPHM-08-Oct-0381.R2 (publisherID) http://hdl.handle.net/2262/47725 Philosophical Magazine 89 31 2771 2799 doi:10.1080/14786430903113769 |
op_rights |
12 months |
op_doi |
https://doi.org/10.1080/14786430903113769 |
container_title |
Philosophical Magazine |
container_volume |
89 |
container_issue |
31 |
container_start_page |
2771 |
op_container_end_page |
2799 |
_version_ |
1766195716507566080 |