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Periodicity of the Mechanical Properties of Ice Resulting from the Formation of an Ice Field under Compression

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Abstract

The phenomenon of double periodicity of the mechanical properties of a thin ice field in a rigid pool is studied. A modal analysis of the experimental data was carried out, that makes it possible to identify two main periods in the spatial distribution of the reaction of ice to cross-cutting penetration. A new mathematical model for evolution of the properties of an ice field is developed. It is based on the ability of the viscoelastic mechanical system to emit perturbations with a certain spatial length and to accumulate them over time, which theoretically explains the effects observed in the experiment.

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REFERENCES

  1. F. Box, D. Vella, R. W. Style, and J. A. Neufeld, Proc. R. Soc. London, Ser. A 473, 20170335 (2017). https://doi.org/10.1098/rspa.2017.0335

  2. M. H. Meylan, Fluids 6, 29 (2021). https://doi.org/10.3390/fluids6010029

    Article  ADS  Google Scholar 

  3. C. Fox and V. A. Squire, Philos. Trans.: Phys. Sci. Eng. 347 (1682), 185 (1994). http://www.jstor.org/stable/54236

  4. R. Staroszczyk and B. Hedzielski, Eng. Trans. 52, 111 (2004).

    Google Scholar 

  5. S. P. Timoshenko and S. Voinovskii-Kriger, Theory of Plates and Shells (Nauka, Moscow, 1966) [in Russian].

    Google Scholar 

  6. A. S. Vol’mir, Stability of Elastic Systems (Moscow, 1963; Transl. Div., Foreign Technol. Div., Wright-Patterson Air Force Base, OH: 1965).

  7. P. G. Ciarlet, Mathematical Elasticity, Vol. 2: Theory of Plates (North-Holland, Amsterdam, 1988).

  8. S.-G. Sjölind, Cold Regions Sci. Technol. 11, 241 (1985). >https://doi.org/10.1016/0165 232X(85)90048-5

    Article  Google Scholar 

  9. V. P. Epifanov and K. E. Sazonov, Dokl. Phys. 65, 418 (2020).

    Article  ADS  Google Scholar 

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Funding

This study was supported by the Russian Foundation for Basic Research, project no. 20-01-00649.

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Authors and Affiliations

  1. Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, Russia

    V. P. Epifanov & S. A. Lychev

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  1. V. P. Epifanov
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  2. S. A. Lychev
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Correspondence to V. P. Epifanov.

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Epifanov, V.P., Lychev, S.A. Periodicity of the Mechanical Properties of Ice Resulting from the Formation of an Ice Field under Compression. Dokl. Phys. 67, 5–10 (2022). https://doi.org/10.1134/S1028335821120041

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  • DOI: https://doi.org/10.1134/S1028335821120041

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