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JOURNALS // Prikladnaya Mekhanika i Tekhnicheskaya Fizika // Archive

Prikl. Mekh. Tekh. Fiz., 2024 Volume 65, Issue 6, Pages 181–194 (Mi pmtf9671)

Study of rheological ice models based on numerical simulation of low-velocity impact with a ball indentor

E. K. Gusevaab, V. I. Golubeva, V. P. Epifanovb, I. B. Petrova

a Moscow Institute of Physics and Technology (National Research University), Dolgoprudny, Moscow Region
b Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow, Russia

Abstract: A method for selecting an appropriate ice model and its parameters using numerical simulation is developed. The process of low-velocity impact of a spherical indenter with an ice plate is studied, and numerical calculation data are compared with experimental data. This paper describes well-known rheological models of elastoplasticity with the von Mises and von Mises-Schleicher yield criteria, as well as an elasticity model with a constant-size elastoplastic inclusion. A system of isotropic linear elasticity equations, solved by the grid-characteristic method, is used as the determining system of equations. The effect of the model parameters on the calculated instantaneous velocities and coordinates of the ball is investigated. Criteria for selecting the model characteristics are formulated, and approximations of dependences of these criteria on various parameters are constructed.

Keywords: rheological ice models, elastoplasticity, numerical simulation, grid-characteristic method.

UDC: 519.63

Received: 12.09.2023
Revised: 22.11.2023
Accepted: 25.12.2023

DOI: 10.15372/PMTF202315382


 English version:
Journal of Applied Mechanics and Technical Physics, 2024, 65:6, 1169–1181

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© Steklov Math. Inst. of RAS, 2026