A numerical framework for simulating progressive failure under high-cycle fatigue loading is validated against experiments of composite quasi-isotropic open-hole laminates. Transverse matrix cracking and delamination are modeled with a mixed-mode fatigue cohesive zone model, covering crack initiation and propagation. Furthermore, XFEM is used for simulating transverse matrix cracks and splits at arbitrary locations. An adaptive cycle jump approach is employed for efficiently simulating high-cycle fatigue while accounting for local stress ratio variations in the presence of thermal residual stresses. The cycle jump scheme is integrated in the XFEM framework, where the local stress ratio is used to determine the insertion of cracks and to propagate fatigue damage. The fatigue cohesive zone model is based on S-N curves and requires static material properties and only a few fatigue parameters, calibrated on simple fracture testing specimens. The simulations demonstrate a good correspondence with experiments in terms of fatigue life and damage evolution.

翻译：针对高周疲劳载荷下渐进失效的数值框架，通过与准各向同性开孔复合材料层合板实验的对比验证了其有效性。采用混合模式疲劳内聚力区模型模拟横向基体开裂和分层，涵盖裂纹萌生与扩展全过程。同时，扩展有限元法被用于模拟任意位置的横向基体裂纹和分叉裂纹。为高效模拟高周疲劳并考虑热残余应力引起的局部应力比变化，采用自适应循环跳跃方法。该循环跳跃方案集成于扩展有限元框架中，通过局部应力比确定裂纹插入位置并驱动疲劳损伤扩展。基于S-N曲线的疲劳内聚力区模型仅需静态材料属性和少量疲劳参数（通过简易断裂试验标定）。模拟结果在疲劳寿命与损伤演化方面与实验数据呈现良好吻合。