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A constitutive law for the viscous and tertiary creep responses of ice to applied stress
یک قانون اساسی برای واکنش خزش چسبناک یخ و سوم به استرس کاربردی-2020 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. Keywords: Polar ice | Viscous creep | Anisotropic response | Orthotropy | Constitutive law |
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