In this paper, we present a new and efficient strategy to perform 3D computational fracture modeling from computed tomography (CT) images. The image-based fracture modeling creates a new way to more accurately predict fracture in realistic structures. However, it is currently complex and expensive to perform such simulations. In this work, we propose to use a matrix-free type preconditioned conjugate gradient solver based multigrid method to achieve the fastest numerical performance for phase field modeling of fracture. Several specific methods are investigated to enhance the robustness and to improve the efficiency of the proposed strategy. An automatic load control strategy to control crack propagation is investigated. High performance computing is applied using a hybrid MPI/OpenMP strategy. With all of the proposed procedures, the phase field modeling of fracture can be performed in the real 3D microstructure of heterogeneous materials using tomographic images.

在本文中，我们提出了一种新的有效策略，用于从计算机断层扫描 (CT) 图像执行 3D 计算骨折建模。基于图像的断裂建模为更准确地预测现实结构中的断裂创造了一种新方法。然而，目前执行此类模拟既复杂又昂贵。在这项工作中，我们建议使用基于无矩阵类型的预处理共轭梯度求解器的多重网格方法来实现裂缝相场建模的最快数值性能。研究了几种特定方法以增强鲁棒性并提高所提出策略的效率。研究了一种控制裂纹扩展的自动载荷控制策略。使用混合 MPI/OpenMP 策略应用高性能计算。有了所有建议的程序，