Deng Jinghui, Zhou Jie, Wu Tangzhen, Liu Zhengliang, Wu Zhen
China Helicopter Research and Development Institute, Jingdezhen 333001, China.
School of Aeronautics, Northwestern Polytechnical University, Xi'an 710072, China.
Materials (Basel). 2023 Dec 16;16(24):7677. doi: 10.3390/ma16247677.
Fatigue delamination damage is one of the most important fatigue failure modes for laminated composite structures. However, there are still many challenging problems in the development of the theoretical framework, mathematical/physical models, and numerical simulation of fatigue delamination. What is more, it is essential to establish a systematic classification of these methods and models. This article reviews the experimental phenomena of delamination onset and propagation under fatigue loading. The authors reviewed the commonly used phenomenological models for laminated composite structures. The research methods, general modeling formulas, and development prospects of phenomenological models were presented in detail. Based on the analysis of finite element models (FEMs) for laminated composite structures, several simulation methods for fatigue delamination damage models (FDDMs) were carefully classified. Then, the whole procedure, range of applications, capability assessment, and advantages and limitations of the models, which were based on four types of theoretical frameworks, were also discussed in detail. The theoretical frameworks include the strength theory model (SM), fracture mechanics model (FM), damage mechanics model (DM), and hybrid model (HM). To the best of the authors' knowledge, the FDDM based on the modified Paris law within the framework of hybrid fracture and damage mechanics is the most effective method so far. However, it is difficult for the traditional FDDM to solve the problem of the spatial delamination of complex structures. In addition, the balance between the cost of acquiring the model and the computational efficiency of the model is also critical. Therefore, several potential research directions, such as the extended finite element method (XFEM), isogeometric analysis (IGA), phase-field model (PFM), artificial intelligence algorithm, and higher-order deformation theory (HODT), have been presented in the conclusions. Through validation by investigators, these research directions have the ability to overcome the challenging technical issues in the fatigue delamination prediction of laminated composite structures.
疲劳分层损伤是层合复合材料结构最重要的疲劳失效模式之一。然而,在疲劳分层的理论框架、数学/物理模型以及数值模拟的发展方面,仍然存在许多具有挑战性的问题。此外,对这些方法和模型进行系统分类至关重要。本文综述了疲劳载荷作用下分层起始和扩展的实验现象。作者回顾了层合复合材料结构常用的唯象模型。详细介绍了唯象模型的研究方法、一般建模公式和发展前景。在分析层合复合材料结构有限元模型的基础上,对疲劳分层损伤模型的几种模拟方法进行了细致分类。然后,还详细讨论了基于四种理论框架的模型的整个过程、应用范围、性能评估以及优缺点。这四种理论框架包括强度理论模型(SM)、断裂力学模型(FM)、损伤力学模型(DM)和混合模型(HM)。据作者所知,基于混合断裂与损伤力学框架下修正的巴黎定律的疲劳分层损伤模型是目前最有效的方法。然而,传统的疲劳分层损伤模型难以解决复杂结构的空间分层问题。此外,获取模型的成本与模型的计算效率之间的平衡也至关重要。因此,在结论部分提出了几个潜在的研究方向,如扩展有限元法(XFEM)、等几何分析(IGA)、相场模型(PFM)、人工智能算法和高阶变形理论(HODT)。经过研究人员的验证,这些研究方向有能力克服层合复合材料结构疲劳分层预测中的挑战性技术问题。