A fatigue damage-cumulative model in peridynamics

While the present structural integrity evaluation method is based on the philosophy of assumed similitude, Fatigue and Damage Tolerance (F&DT) evaluations for next generation of air-vehicles require high-fidelity physical models within cyberspace. To serve the needs of F&DT evaluation in digital twin paradigm, a fatigue damage-cumulative model within peridynamic framework is proposed in this paper. Based on the concept of fatigue element block and damage accumulation law in form of Coffin-Manson relationship, the proposed model applies to both fatigue crack initiation and fatigue crack growth; fatigue crack growth rates under constant-amplitude and simple variable-amplitude block loading cases can be well predicted for three common structural materials without inputs of Paris law parameters. Additionally, the proposed model can also be easily extended to a probabilistic version; for verification, multiple-site-damage problems are simulated and the statistic nature of fatigue process in experiments can be well captured. In the end, main features of the proposed model are summarized, and distinctions from the other models are discussed. There may be a potential for the peridynamic damage-cumulative model proposed in this work to numerically predict fatigue problems in digital twin paradigm for future generations of aerospace vehicles.     

基于改进型近场动力学方法的复合材料单向板变形与破坏分析

针对复合材料单向板的变形与破坏问题,采用经典的键型近场动力学(Peridynamics,PD)理论进行建模分析,利用基体键与纤维键描述单向板宏观各向异性,同时在基体键中引入反映长程力尺寸效应的核函数修正项改进近场动力学本构模型,构建相应的准静态数值求解体系。使用传统PD模型与改进型PD模型对单轴拉伸单向板变形进行定量计算,二者所得计算结果较理论解相对误差分别为3.5%和1.7%,表明改进型PD模型具有更高的定量计算精度。开展含不同角度中心裂纹单向板单轴拉伸破坏试验与数值模拟,二者所得单向板最终破坏形式与破坏特点均吻合,表明当前模型与方法能够有效处理单向板的破坏问题。最后对纤维角度为0°单向板的拉伸破坏过程展开模拟分析,结果表明单向板在前期主要出现基体开裂,当裂纹扩展至夹持区域后,结构出现纤维断裂,最终形成贯穿整个结构的断面导致单向板发生破坏。