Ice Mechanics. Part 1. Integral Representations for the Viscoelastic Deformation of Ice. Part 2. Single Integral Representations in Ice Mechanics.
Final technical rept. Nov 79-Apr 84,
UNIVERSITY OF EAST ANGLIA NORWICH (ENGLAND) SCHOOL OF MATHEMATICS AND PHYSICS
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Integral Representation for the Viscoelastic Deformation of Ice. Various single integral representations which describe non-linear viscoelastic response are examined with regard to the types of test required to determine the respective kernels. A strain formulation determined by constant uniaxial stress response typical of ice, and its predictions for constant strain-rate response, are reviewed, showing that the latter are sensitive to kernel detail. An alternative stress formulation which is determined by constant strain-rate response is constructed, and it is shown that the predicted strain and strain-rate responses at constant stress are compatible with the typical responses exhibited by ice. Single Integral Representations in Ice Mechanics. A single integral viscoelastic constitutive equation for ice is developed which possesses significant theoretical and practical advantages over previously suggested equations of this type Spring and Morland, 1983. The theory is specialized to the case of small strain uniaxial compression and the resulting constitutive equation is shown to verify the relations between experimental data obtained in constant load CL creep tests and constant displacement rate CD strength tests conjectured in Mellor and Cole 1982 and demonstrated in Mellor and Cole 1983. Author
- Snow, Ice and Permafrost