A compound elastoplastic model with hydrostatic core and fracturing for localization of nonlinear deformations in ice during a low-speed impact

E. K. Guseva^ab, V. I. Golubev^a, V. P. Epifanov^b, I. B. Petrov<sup>a

a</sup> Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region, Russia
^b Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow, Russia

Abstract: During dynamic loading, ice demonstrates complex nonlinear behavior, which depends on many factors, including strain rate. In practical applications, low-speed collision processes occur, in which ice exhibits both viscous and brittle properties. To consider the specifics of local ice failure, a compound model is proposed in this paper, which distinguishes a hydrostatic core and an elastoplastic zone in ice, with the material far from the impact area in the elastic state. Additionally, volumetric cracking is considered. The model is verified by comparing the results of numerical computations and a laboratory experiment with a spherical indenter. The numerical results demonstrate various phenomena observed in the experiments. The simulations reconstruct nonlinear waves, different destruction patterns, and show the wave nature of fracturing. The deformation curves calculated confirm the possibility of a qualitative description of ice behavior during the main stage of the collision.

Key words: ice rheology, elastoplasticity, fracturing, hydrostatic core, nonlinear waves.

UDC: 519.63

Received: 14.10.2024
Revised: 28.11.2024
Accepted: 04.03.2025

DOI: 10.15372/SJNM20250303