Ice rheology exploration based on numerical simulation of low-speed impact
- Authors: Petrov I.B.1, Guseva E.K.1,2, Golubev V.I.1, Epifanov V.P.2
-
Affiliations:
- Moscow Institute of Physics and Technology (National Research University)
- Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences
- Issue: Vol 514, No 1 (2024)
- Pages: 20-28
- Section: ФИЗИКА
- URL: https://journals.rcsi.science/2686-7400/article/view/261439
- DOI: https://doi.org/10.31857/S2686740024010033
- EDN: https://elibrary.ru/OTWEQS
- ID: 261439
Cite item
Abstract
Ice is a complex heterogeneous medium. Its behavior depends on many factors and changes in different processes. Thus, the problem of the determination of the correct rheological model is still unsolved. In this work low-speed impact on ice by the ball striker is considered. The main focus of the research is the development of the method of the correct model selection based on the computer simulation of the laboratory experiment. The simulation was conducted using the following rheology models: isotropic linear elasticity model, elastoplasticity model with the von Mises and the von Mises-Schleicher yield criteria, elasticity model with elastoplastic inclusion. The governing system of equations is solved using grid-characteristic method. Models’ comparison is performed based on the ball’s velocity and depth of ball’s immersion into the ice. The model parameters’ influence on the results is surveyed. As a result, the parameters that reconstruct the solution close to the experimental results are chosen.
Full Text
About the authors
I. B. Petrov
Moscow Institute of Physics and Technology (National Research University)
Author for correspondence.
Email: petrov@mipt.ru
Corresponding Member of the RAS
Russian Federation, Dolgoprudny, Moscow RegionE. K. Guseva
Moscow Institute of Physics and Technology (National Research University); Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences
Email: guseva.ek@phystech.edu
Russian Federation, Dolgoprudny, Moscow Region; Moscow
V. I. Golubev
Moscow Institute of Physics and Technology (National Research University)
Email: golubev.vi@mipt.ru
Russian Federation, Dolgoprudny, Moscow Region
V. P. Epifanov
Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences
Email: evp@ipmnet.ru
Russian Federation, Moscow
References
- Staroszczyk R. Formation and Types of Natural Ice Masses / In: Ice Mechanics for Geophysical and Civil Engineering Applications. GeoPlanet: Earth and Planetary Sciences. Springer, Cham. 2018. P. 7–19. http://dx.doi.org/10.1007/978-3-030-03038-4_2
- Maurel A, Lund F, Montagnat M. Propagation of elastic waves through textured polycrystals: application to ice // Proc. Math. Phys Eng. Sci. 2015. V. 71. № 2177. 20140988. https://doi.org/10.1098/rspa.2014.0988
- Muguruma J. Effects of surface condition on the mechanical properties of ice crystal // J. Physics D: Applied Physics. 1969. V. 2. № 11. P. 1517–1525. https://www.doi.org/10.1088/0022-3727/2/11/305
- Новацкий В. Теория упругости. М.: Мир, 1975. 872 с.
- Sinha N.H. Elasticity of natural types of polycrystalline ice // Cold Regions Science and Technology. 1989. V. 17. № 2. P. 127–135. http://dx.doi.org/10.1016/S0165-232X(89)80003-5
- Neumeier J.J. Elastic Constants, Bulk Modulus, and Compressibility of H2O Ice Ih for the Temperature Range 50 K–273 K // J. Phys. Chem. Ref. Data. 2018. V. 47. № 3. 033101. http://dx.doi.org/10.1063/1.5030640
- Langleben M.P. Youngs modulus for sea ice // Canadian Journal of Physics. 1962. V. 40. № 1. P. 1–8. http://dx.doi.org/10.1139/p62-001
- Frankenstein G., Garner R. Equations for Determining the Brine Volume of Sea Ice from −0.5° to −22.9 °C // J. Glaciology. 1967. V. 6. № 48. P. 943–944. https://doi.org/10.3189/S0022143000020244
- Timco G.W., Weeks W.F. A review of the engineering properties of sea ice // Cold Regions Science and Technology. 2010. V. 60. № 2. P. 107–129. http://dx.doi.org/10.1016/j.coldregions.2009.10.003
- Schulson E.M. Brittle failure of ice // Engineering Fracture Mechanics. 2001. V. 68. № 17–18. P. 1839–1887. http://dx.doi.org/10.1016/S0013-7944(01)00037-6
- Ince S. T., Kumar A., Paik J. K. A new constitutive equation on ice materials // Ships and Offshore Structures. 2017. V. 12. № 5. P. 610–623. https://doi.org/10.1080/17445302.2016.1190122
- Snyder S.A., Schulson E.M., Renshaw C.E. Effects of prestrain on the ductile-to-brittle transition of ice // Acta Materialia. 2016. V. 108. № 10. P. 110–127. http://dx.doi.org/10.1016/j.actamat.2016.01.062
- Jellinek H.H.G., Brill R. Viscoelastic Properties of Ice // J. Applied Physics. 1956. V. 27. № 10. P. 1198–1209. https://doi.org/10.1063/1.1722231
- Schulson E.M., Duval P. Ductile behavior of polycrystalline ice: experimental data and physical processes. / In: Creep and Fracture of Ice. 2009. P. 101–152. https://doi.org/10.1017/CBO9780511581397.007
- Качанов Л.М. Механика пластических сред. М.: Гостехиздат, 1948. 217 с.
- Коврижных А.М. Уравнения плоского напряженного состояния при условии пластичности Мизеса–Шлейхера // Прикладная механика и техническая физика. 2004. Т. 45. № 6. С. 144–153.
- Petrov I.B. Grid-characteristic methods. 55 years of developing and solving complex dynamic problems // Computational Mathematics and Information Technologies. 2023. V. 6. № 1. P. 6–21. http://dx.doi.org/10.23947/2587-8999-2023-6-1-6-21
- Petrov I.B., Golubev V.I., Ankipovich Y.S., Favorskaya A.V. Numerical Modeling of Acoustic Processes in Gradient Media Using the Grid-Characteristic Method // Dokl. Math. 2022. V. 106. № 3. P. 449–453. http://dx.doi.org/10.1134/S1064562422700090
- Kholodov A.S., Kholodov Y.A. Monotonicity criteria for difference schemes designed for hyperbolic equations // Comput. Math. and Math. Phys. 2006. V. 46. № 9. P. 1560–1588. http://dx.doi.org/10.1134/S0965542506090089
- Гусева Е.К., Голубев В.И., Петров И.Б. Линейные квазимонотонные и гибридные сеточно-характеристические схемы для численного решения задач линейной акустики // Сиб. журн. вычисл. математики. 2023. Т. 26 № 2. С. 135–147. http://dx.doi.org/10.15372/SJNM20230202
- Epifanov V.P. Physical mechanisms of ice contact fracture // Dokl. Phys. 2007. V. 52. № 1. P. 19–23. http://dx.doi.org/10.1134/S1028335807010053
- Епифанов В.П., Лычев С.А. Волновые явления при ударе жесткого индентора о лед // Волны и вихри в сложных средах: 13-я международная школа-конференция молодых ученых. Сборник материалов школы. 2022. С. 105–108.
- Епифанов В.П. Особенности контактного разрушения льда // Лед и Снег. 2020. Т. 60. № 2. С. 274–284. https://doi.org/10.31857/S2076673420020040