Abstract
Mathematical models used to study the interaction of sea ice with ocean waves and hydraulic structures are analyzed. Works focusing on general and specific scenarios of this interaction are reviewed. General scenarios include wave-ice interactions with a focus on various prevailing physical and mechanical processes, while specific scenarios include ice-structure interactions. The specific scenarios within the framework of this work include changes in ice pressure as the ice field thickens between the offshore platform supports, the effect of seasonal variations on the resulting ice load, and ice floe bending failure using the Hoek-Brown model. Based on the results obtained, a classification of existing models was developed according to modeling methods, details of accounting for various natural phenomena, complexity of use, and predictive accuracy. For each model in the classification, advantages and disadvantages were identified, and recommendations for their improvement for further application in scientific research and practical calculations were proposed.
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