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ToolsMorland, L. W. and Staroszczyk, R. (2020) A constitutive law for the viscous and tertiary creep responses of ice to applied stress. Cold Regions Science and Technology, 174. ISSN 0165-232X
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Abstract
Given the initial (secondary creep) viscous response of ice to applied stress, the subsequent tertiary creep is described by an orthotropic fabric evolution relation motivated by crystal rotation arguments. That is, the ice is described as a non-simple anisotropic fluid with dependence on the evolving deformation. Extension and modification of previous formulations are proposed, in which a general orthotropic flow law for stress includes terms which are quadratic functions of the strain-rate tensor, compared to previously analysed relations in which only linear in the strain-rate tensor terms were considered. Ice response functions in the extended law are constructed in such a way that the validity equalities and inequalities between the instantaneous directional viscosities at each stage of the tertiary creep are satisfied, and correlations with families of idealised uni-axial and simple shear tertiary creep curves for different applied stresses are possible. It is shown for a range of free parameters in the proposed orthotropic model how accurately the assumed uni-axial and shear creep curves can be approximated by the constructed response functions.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | anisotropic response,constitutive law,orthotropy,polar ice,viscous creep,geotechnical engineering and engineering geology,earth and planetary sciences(all) ,/dk/atira/pure/subjectarea/asjc/1900/1909 |
| Faculty \ School: | Faculty of Science > School of Mathematics (former - to 2024) |
| Related URLs: | |
| Depositing User: | LivePure Connector |
| Date Deposited: | 02 Jul 2021 01:10 |
| Last Modified: | 13 Nov 2024 00:48 |
| URI: | https://ueaeprints.uea.ac.uk/id/eprint/80386 |
| DOI: | 10.1016/j.coldregions.2020.103034 |
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