Authors

Analytical foundations of ice rheology

DOI: 10.17586/1606-4313-2024-23-4-58-64
UDC 539.2/6; 629.5

Analytical foundations of ice rheology

Koshkin Sergey V., Veprinyak Ivan A., Chizhiumov Sergey D.

For citation: Koshkin S.V., Veprinyak I.A., Chizhiumov S.D. Analytical foundations of ice rheology. Journal of International Academy of Refrigeration. 2024. No 4. p. 58-64. DOI: 10.17586/1606-4313-2024-23-4-58-64

Abstract
The deformation of ice is most reliably determined using stress diagrams. Analytical models for stress diagrams have been developed.In the class of analytical functions, the main rheological model of the stress diagram is represented by a polynomial dependency.A more compact empirical dependency is described by a logarithmic function. Both models are reduced to dimensionless form. The elements of mathematical analysis for the obtained stress functions are presented. It is shown that for one of the deformation types, stress diagrams have affinity properties.It has been established that the stress diagrams of ice of the same structure and type of deformation in a dimensionless form is be uniformat low temperatures with a constant ratio of its elastic moduli.On the basis of thermodynamically reversible processes, a theoretical method is proposed for predicting the diagram when ice is stretched by recalculating it with a similar diagram when it is compressed. Graphical and analytical dependencies for the dimensionless characteristics of the desired diagram are obtained. Analysis of the results of recalculation for the diagrams allowed to determine the values for the ratio of the maximum deformations of ice during tension to similar ones in the case of its compression.

Keywords: stress diagrams, compression, tension of ice, affinity, prediction of stress diagrams, bends.

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