Abstract

The development of equipment capable of operating in the Arctic environment could benefit from a mathematical model of interaction with ice. In an attempt to create such a model, a numerical simulation of a collision between a rigid body and an ice field was conducted. Discontinuous Galerkin method was used to solve the equations modeling an elastoplastic body, specifically the Prandtl–Reuss model with the Mises–Schleichert yield condition. The nature of destruction and stress distribution in ice mass were analyzed, and then the momentum change from the collision was used to estimate ice resistance. The results of this analysis show the applicability of the chosen method to the problem of ice destruction.

中文翻译：

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破冰船下部与冰场边缘碰撞过程模拟

摘要

能够在北极环境中运行的设备的开发可以受益于与冰相互作用的数学模型。为了创建这样的模型，对刚体与冰原之间的碰撞进行了数值模拟。不连续伽辽金法用于求解弹塑性体建模方程，特别是具有 Mises-Schleichert 屈服条件的 Prandtl-Reuss 模型。分析了冰体破坏的性质和应力分布，然后利用碰撞产生的动量变化来估计冰的阻力。该分析的结果表明所选择的方法对于冰破坏问题的适用性。