On the Constitutive Behavior of Single Ice Crystals Due to Dislocation Mechanisms

by R. L. Brown, Montana State Univ, Bozeman, United States,

Document Type: Proceeding Paper

Part of: Cold Regions Engineering


A three-dimensional constitutive relation is derived for single ice crystals. The formulation is developed in terms of dislocation processes on the basal, prism, and pyramidal planes. The global stress tensor is used to calculate shear and normal stresses on the slip planes in order to determine the dislocation strains associated with the slip systems. These strain rates are then summed tensorially to determine the total global strain rate tensor. Calculated results indicate that such a procedure can be used to characterize the three-dimensional mechanical properties of single ice crystals.

Subject Headings: Ice | Displacement (mechanics) | Constitutive relations | Strain rates | Strain | Mechanical properties | Shear stress | Stress strain relations

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