We present a novel particle-based computational framework for the numerical simulation of dynamic crack propagation in functionally graded materials under highly dynamic loading conditions and large deformations. The approach is based on an innovative computational method that solves phase field of brittle fracture with smoothed particle hydrodynamics. The meshfree nature of the discretization technique allows for the simulation of scenarios involving extreme deformations and material separation, as opposed to conventional mesh-based computational techniques such as the finite element method. At the same time, the damage evolution is governed by a hyperbolic partial differential equation that allows for efficient explicit time integration and avoids the complexities of solving linear systems of equations. The framework is verified and validated against other computational approaches and experimental results. Finally, the proposed approach is applied to some challenging impact scenarios that involve fast dynamics or large deformations, and it is shown that it can be easily used for identifying material gradation profiles that manipulate crack propagation.

我们提出了一种新的基于粒子的计算框架，用于在高动态载荷条件和大变形条件下对功能梯度材料中的动态裂纹扩展进行数值模拟。该方法基于一种创新的计算方法，该方法通过平滑粒子流体动力学求解脆性断裂的相场。与传统的基于网格的计算技术（如有限元方法）相反，离散化技术的无网格特性允许模拟涉及极端变形和材料分离的场景。同时，损伤演化由双曲偏微分方程控制这允许有效的显式时间积分并避免求解线性方程组的复杂性。该框架已针对其他计算方法和实验结果进行了验证和验证。最后，将所提出的方法应用于一些涉及快速动力学或大变形的具有挑战性的冲击场景，并且表明它可以很容易地用于识别操纵裂纹扩展的材料级配分布。