论文标题
一种基于应力的波罗破坏相位场模型
A stress-based poro-damage phase field model for hydrofracturing of creeping glaciers and ice shelves
论文作者
论文摘要
需要能够预测冰川冰中融合水辅助的缝隙生长的计算模型。冰川和冰盖的质量损失是造成海平面上升的最大贡献者，而由于氢铁骨骼而导致的冰山产犊是最突出但知识较低的冰川质量损失过程之一。为了克服经验和分析方法的局限性，我们在这里提出了一个新的基于阶段的计算框架，以模拟接地的冰盖和漂浮的冰架上的裂隙增长。 The model incorporates the three elements needed to mechanistically simulate hydrofracture of surface and basal crevasses: (i) a constitutive description incorporating the non-linear viscous rheology of ice, (ii) a phase field formulation capable of capturing cracking phenomena of arbitrary complexity, such as 3D crevasse interaction, and (iii) a poro-damage representation to account for the role of meltwater pressure on crevasse 生长。采用基于应力的相位场模型来降低长度尺度的灵敏度，以应对冰山产犊的大尺度，并充分预测不可压缩固体拉伸应力区域的裂缝生长。通过解决了涉及单个和多个裂缝的许多2D和3D案例研究，并考虑接地和浮动条件，可以证明所介绍的计算框架的潜力。提出的计算框架在冰山产犊的建模中打开了新的视野，并且由于其能够结合不可压缩的行为，可以很容易地将其纳入数值冰盖模型中，以预测海平面上升。
There is a need for computational models capable of predicting meltwater-assisted crevasse growth in glacial ice. Mass loss from glaciers and ice sheets is the largest contributor to sea-level rise and iceberg calving due to hydrofracture is one of the most prominent yet less understood glacial mass loss processes. To overcome the limitations of empirical and analytical approaches, we here propose a new phase field-based computational framework to simulate crevasse growth in both grounded ice sheets and floating ice shelves. The model incorporates the three elements needed to mechanistically simulate hydrofracture of surface and basal crevasses: (i) a constitutive description incorporating the non-linear viscous rheology of ice, (ii) a phase field formulation capable of capturing cracking phenomena of arbitrary complexity, such as 3D crevasse interaction, and (iii) a poro-damage representation to account for the role of meltwater pressure on crevasse growth. A stress-based phase field model is adopted to reduce the length-scale sensitivity, as needed to tackle the large scales of iceberg calving, and to adequately predict crevasse growth in tensile stress regions of incompressible solids. The potential of the computational framework presented is demonstrated by addressing a number of 2D and 3D case studies, involving single and multiple crevasses, and considering both grounded and floating conditions. The computational framework presented opens new horizons in the modelling of iceberg calving and, due to its ability to incorporate incompressible behaviour, can be readily incorporated into numerical ice sheet models for projecting sea-level rise.
