This article presents a multi-phase-field poromechanics model that simulates the growth and thaw of ice lenses and the resultant frozen heave and thaw settlement in multi-constituent frozen soils. The growth of segregated ice inside the freezing-induced fracture is implicitly represented by the evolution of two-phase fields that indicate the locations of segregated ice and the damaged zone, respectively. The evolution of two-phase fields is induced by their own driving forces that capture the physical mechanisms of ice and crack growths, respectively, while the phase-field governing equations are coupled with the balance laws such that the coupling among heat transfer, solid deformation, fluid diffusion, crack growth, and phase transition can be replicated numerically. Unlike phenomenological approaches that indirectly capture the freezing influence on the shear strength, the multiphase-field model introduces an immersed approach where both the homogeneous freezing and the ice-lens growth are distinctively captured by the freezing characteristic function and the driving force accordingly. Verification and validation examples are provided to demonstrate the capacities of the proposed models.

中文翻译：

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模拟冻土中冰晶状体生长的多相场微孔力学模型

本文提出了一个多相场孔隙力学模型，该模型模拟了多组分冻土中冰晶状体的生长和融化以及由此产生的冻胀和融化沉降。冰冻裂隙内分离冰的生长隐含地表示为两相场的演变，两相场分别指示分离冰和受损区域的位置。两相场的演化是由它们各自的驱动力引起的，这些驱动力分别捕获了冰和裂纹扩展的物理机制，而相场控制方程与平衡定律相耦合，使得传热、固体变形之间的耦合、流体扩散、裂纹扩展和相变可以在数值上复制。与间接捕获冻结对剪切强度影响的现象学方法不同，多相场模型引入了一种浸入式方法，其中均匀冻结和冰晶状体生长都被冻结特征函数和相应的驱动力独特地捕获。提供验证和验证示例以证明所提出模型的能力。