A constitutive law for the viscous and tertiary creep responses of ice to applied stress

Morland, 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
Related URLs:
Depositing User: LivePure Connector
Date Deposited: 02 Jul 2021 01:10
Last Modified: 22 Jul 2021 00:06
URI: https://ueaeprints.uea.ac.uk/id/eprint/80386
DOI: 10.1016/j.coldregions.2020.103034

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