Application of Elastoplastic Model to the Simulation of the Low-Speed Impact on an Ice Plate

Ice plays the central role in many processes in the Arctic region. However, the problem of the determination of the correct rheological model that can define its behavior is still unsolved. Thus, this work is a part of a series of works dedicated towards the creation of the method that allows to select ice model based on the laboratory and numerical experiments. The process of the low-speed impact on the artificially frozen ice plate by the ball striker is examined. The isotropic linear elasticity model serves as the governing system of equations. It is solved using grid-characteristic method on structured grids. Plasticity is introduced as a corrector of the elasticity with the von Mises yield criteria. Finally, ice is divided into two zones, the plasticity zone in the form of a hemisphere with the center in the first contacting point of the plate and the ball, and the elasticity zone in the rest part of the medium. The radius of the hemisphere is considered to be a function of the depth of the ball immersion into the ice. As a result of the simulation, wave and stress tensor patterns are obtained. The comparison with the laboratory experiment is conducted based on the analysis of the ball’s coordinate and velocity. The influence of the model’s parameters on the simulation results is analyzed.