Geodesic
Elastoplastic ice model with dynamic damage for simulation of non-linear processes during a low-speed impact
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 18 (2025) no. 2, pp. 179-190

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Estimation of ice deformations during dynamic loading plays a primary role in understanding many processes occurring in the Arctic region. However, the problem of choosing the most suitable model is complicated due to the complex structural changes in ice that affect its behaviour. In order to reconstruct observed damage localization, the dynamic von Mises–Schleicher criterion is applied to calculate the borders of the hydrostatic core in an elastoplastic specimen. This helps to account for the change in ice strength based on the stress magnitude. In the core, under conditions of uniform compression ice may pulverize. It results in microfracturing and recrystallization of ice. Additionally, inner and surface splits are introduced using the principal stress criterion. The model is verified with the use of numerical modelling of the laboratory experiment that consists of a direct low-speed impact. The main focus of this work is to study how non-linear processes influence the dynamics of the collision. The grid-characteristic method is used to accurately reconstruct waves formation. As a result, the formation of non-linear waves was observed. It causes further fracturing during propagation through the ice. Moreover, the conducted analysis of deformation curves confirmed that numerical results agree with the experimental data.
Keywords: ice rheology, non-linear waves, hydrostatic core, Von Mises–Schleicher yield criterion, low-speed impact.
Mots-clés : fractures 
@article{JSFU_2025_18_2_a3,
     author = {Evgeniya K. Guseva and Vasily I. Golubev and Igor B. Petrov and Victor P. Epifanov},
     title = {Elastoplastic ice model with dynamic damage for simulation of non-linear processes during a low-speed impact},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {179--190},
     publisher = {mathdoc},
     volume = {18},
     number = {2},
     year = {2025},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2025_18_2_a3/}
}
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Evgeniya K. Guseva; Vasily I. Golubev; Igor B. Petrov; Victor P. Epifanov. Elastoplastic ice model with dynamic damage for simulation of non-linear processes during a low-speed impact. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 18 (2025) no. 2, pp. 179-190. http://geodesic.mathdoc.fr/item/JSFU_2025_18_2_a3/