Work

Nonlinear dynamics of an ice plate overlaying deep water under supercritical compression

Year: 2025

Type: article

Abstract: • Flexural-gravity waves in a compressed ice plate • Buckling phenomenon and plate distortion • Nonstationary regimes of plate behaviour under supercritical compression • Ice plate instability and stabilisation • 2D and 3D stationary formations on a compressed ice plate We investigate a supercritical regime of a compressed ice plate floating on infinitely deep water. Our derived governing equations describe wave amplitude dynamics when compression exceeds a critical threshold in 2D and 3D cases. Results show that small deviations in the ice plate initially grow exponentially, leading to either complete structural failure (at high supercriticality) or oscillations around equilibrium states. We provide quantitative estimates of wave amplitudes, oscillation periods in stable regimes, and instability growth rates using realistic ice plate parameters. This research offers valuable insights for ice-working researchers and engineers regarding hazardous compression conditions and the relationship between compression supercriticality and resulting ice dynamics.

Source: Applied Mathematical Modelling

DOI: 10.1016/j.apm.2025.116714

Authors: Y.A. Stepanyants, N.M. Zubarev

Institutions: P.N. Lebedev Physical Institute of the Russian Academy of Sciences, University of Southern Queensland, Nizhny Novgorod State Technical University, Institute of Electrophysics

Language: English

Topic: Arctic and Antarctic ice dynamics

Subfield: Atmospheric Science

Field: Earth and Planetary Sciences

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $4,510

Funders: Ministry of Education and Science of the Russian Federation, Ural Branch, Russian Academy of Sciences, Ministry of Science and Higher Education of the Russian Federation, Lebedev Physical Institute, Russian Academy of Sciences