We develop a two-dimensional, plan-view formulation of ice-shelf flow and viscoelastic ice-shelf flexure. This formulation combines, for the first time, the shallow-shelf approximation for horizontal ice-shelf flow (and shallow-stream approximation for flow on lubricated beds such as where ice rises and rumples form), with the treatment of a thin-plate flexure. We demonstrate the treatment by performing two finite-element simulations: one of the relict pedestalled lake features that exist on some debris-covered ice shelves due to strong heterogeneity in surface ablation, and the other of ice rumpling in the grounding zone of an ice rise. The proposed treatment opens new venues to investigate physical processes that require coupling between the longitudinal deformation and vertical flexure, for instance, the effects of surface melting and supraglacial lakes on ice shelves, interactions with the sea swell, and many others.

中文翻译：

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流动和弯曲结合的冰架演化处理

我们开发了冰架流动和粘弹性冰架弯曲的二维平面视图公式。该公式首次结合了水平冰架流动的浅层近似（以及润滑床上的流动的浅流近似，例如冰上升和形成褶皱的地方），以及对薄板弯曲的处理. 我们通过执行两个有限元模拟来演示该处理：一个是由于表面消融的强烈异质性而存在于一些被碎片覆盖的冰架上的残存的基座湖特征，另一个是冰隆接地区的冰皱. 提议的处理方法为研究需要纵向变形和垂直弯曲之间耦合的物理过程开辟了新的途径，例如，