Abstract Understanding dynamic crack branching and propagation under impact conditions in Functionally Graded Materials (FGMs) is important as engineering components are often subjected to impact loads. Investigation of crack paths may lead to better material and structure designs. Recently, Phase-Field Fracture (PFF) modeling techniques are gaining importance and are shown to provide good predictions of crack propagation behavior under dynamic conditions. On the other hand, phase-field modeling of cracks is often computationally intensive due to the nonlinear constitutive relations as well as the smaller time steps required to capture the crack dynamics. With the inception of explicit time integration schemes, it has been preferred in solving many complex problems in engineering analysis due to its fast computation time. In the present study, crack propagation and branching in FGMs using phase-field fracture modeling with explicit dynamics is proposed. Various case studies are considered and studied. The effect of gradation of the material properties and loading conditions are studied and reported.

中文翻译：

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使用显式动力学对功能梯度材料中裂纹扩展和分支的相场研究

摘要 了解功能梯度材料 (FGM) 在冲击条件下的动态裂纹分支和扩展非常重要，因为工程部件经常受到冲击载荷。裂纹路径的研究可能会导致更好的材料和结构设计。最近，相场断裂 (PFF) 建模技术变得越来越重要，并且被证明可以提供动态条件下裂纹扩展行为的良好预测。另一方面，由于非线性本构关系以及捕获裂纹动力学所需的较小时间步长，裂纹的相场建模通常需要大量计算。随着显式时间积分方案的出现，由于其快速的计算时间，它已成为解决工程分析中许多复杂问题的首选。在目前的研究中，提出了使用具有显式动力学的相场断裂建模在 FGM 中的裂纹扩展和分支。考虑和研究了各种案例研究。研究并报告了材料特性和加载条件的级配的影响。