Fatigue crack arrest and life extension of metallic structures can be achieved by using prestressed strips for fatigue strengthening. However, the popularization of prestressed strengthening techniques has been limited by lack of versatile analytical methods. In this paper, an analytical method is developed for predicting the fatigue behavior of centrally cracked metal plates after being anchored with prestressed reinforcing strips, based on linear elastic fracture mechanics and the superposition method of stress intensity factors. The force transfer between reinforcing strips and metal cracked plates is modeled using the displacement compatibility principle. The finite-width correction factor for centrally cracked metal plates subjected to four-point concentrated forces is derived, allowing the model to analyze the effect of different anchorage locations on the effectiveness of strengthening. The analytical model is validated through experimental data and finite element analysis. The results show that the model is highly accurate and can be used to analyze how different anchorage locations affect fatigue reinforcement.

中文翻译：

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用于预测用无粘结预应力钢筋条加固的金属板的疲劳、裂纹、停裂和生长行为的解析模型


通过使用预应力条进行疲劳强化，可以实现金属结构的疲劳、裂纹抑制和寿命延长。然而，由于缺乏通用的分析方法，预应力加固技术的普及受到了限制。本文基于线弹性断裂力学和应力强度因子叠加法，开发了一种预测中心裂纹金属板预应力加强条锚固后疲劳行为的解析方法。加强条和金属裂纹板之间的力传递使用位移相容性原理进行建模。推导了受到四点集中力作用的中心开裂金属板的有限宽度修正因子，使模型能够分析不同锚固位置对加固效果的影响。分析模型通过实验数据和有限元分析进行验证。结果表明，该模型精度高，可用于分析不同的锚固位置如何影响疲劳加固。