Ice rheology exploration based on numerical simulation of low-speed impact

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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.

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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 Region

E. 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

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Supplementary files

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2. Fig. 1. Above is a general view of the calculated area and grid parameters, 2D. From the bottom left are experimental graphs, the blue curve is from the receiver in the ball, the purple one is from the receiver on the lower surface of the ice. From the bottom right is a mock–up of ice in an elasticity model with an elastic-plastic inclusion in the form of a semicircle of a given radius.

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3. Fig. 2. Wave patterns in calculations using the elasticity model with elastic–plastic inclusion r = 7.5, k = 3 × 105 (a); according to the elastic-plasticity model with the Mises-Schleicher condition in the central ice region, k0 = 3 × 105, a = 0.5 (b).

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4. Fig. 3. Calculation results. The rows have the same legend. The 1st column is the module of the vertical projection of the stress tensor from time at the bottom point of the ball, the 2nd is the coordinate, the 3rd is the velocity module.

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5. Fig. 4. The maximum depth of precipitation (on the left) and the time when the velocity modulus is minimal (on the right), depending on the parameters of the models under consideration. In each row, solid lines correspond to curves with the same parameters (legend in the center).

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