论文标题
一个合并的XFEM相位计算模型，用于裂纹生长而无需重组
A combined XFEM phase-field computational model for crack growth without remeshing
论文作者
论文摘要
本文提出了一种自适应策略，用于过渡到断裂的相位模拟。相位场方程仅在裂纹尖端周围的小子域中求解以确定繁殖，而XFEM离散化在其余的域中使用以表示尖锐的裂纹，从而可以使用更粗的离散化，从而降低了计算成本。裂纹尖端子域在裂纹在全自动过程中传播时移动。在所有仿真过程中，使用相同的计算网格，在裂纹尖端子域中的元素中均具有$ h $的近似值。精制子域和XFEM区域之间位移的连续性通过Nitsche的方法以弱形式施加。在2D和3D中的一些数值示例中显示了该策略的鲁棒性，包括分支和结合测试。
This paper presents an adaptive strategy for phase-field simulations with transition to fracture. The phase-field equations are solved only in small subdomains around crack tips to determine propagation, while an XFEM discretization is used in the rest of the domain to represent sharp cracks, enabling to use a coarser discretization and therefore reducing the computational cost. Crack-tip subdomains move as cracks propagate in a fully automatic process. The same computational mesh is used during all the simulation, with an $h$-refined approximation in the elements in the crack-tip subdomains. Continuity of the displacement between the refined subdomains and the XFEM region is imposed in weak form via Nitsche's method. The robustness of the strategy is shown for some numerical examples in 2D and 3D, including branching and coalescence tests.
