论文标题
不可压缩的压力驱动相位骨折的自适应和压力量离散
Adaptive and Pressure-Robust Discretization of Incompressible Pressure-Driven Phase-Field Fracture
论文作者
论文摘要
在这项工作中，我们考虑了几乎和完全不可压缩的材料中加压的相火骨折问题。为此，提出了实体方程的混合形式。为了提高空间离散化的准确性，开发了残留类型误差估计器。我们的算法进步通过基准配置启发的几种数值测试证实。在其中，将基于原始的配方与我们新开发的混合相位场裂缝方法进行比较，用于接近$ν\至0.5 $的泊松比。最后，对于$ν= 0.5 $，我们将混合配方的数值结果与压力强大的修改进行比较。
In this work, we consider pressurized phase-field fracture problems in nearly and fully incompressible materials. To this end, a mixed form for the solid equations is proposed. To enhance the accuracy of the spatial discretization, a residual-type error estimator is developed. Our algorithmic advancements are substantiated with several numerical tests that are inspired from benchmark configurations. Therein, a primal-based formulation is compared to our newly developed mixed phase-field fracture method for Poisson ratios approaching $ν\to 0.5$. Finally, for $ν= 0.5$, we compare the numerical results of the mixed formulation with a pressure robust modification.
