基于连续损伤-晶体塑性的微动疲劳裂纹萌生两尺度方法
A TWO-SCALE METHOD FOR FRETTING FATIGUE CRACK INITIATION BASED ON CONTINUUM DAMAGE AND CRYSTAL PLASTICITY
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摘要: 微动疲劳作为工程结构中常见的失效模式, 表现为两构件在法向载荷与循环载荷共同作用下因接触面微滑移引发的疲劳强度劣化甚至早期断裂现象. 本研究针对现有单尺度分析方法以及分层式多尺度方法在裂纹萌生机理揭示与寿命预测精度方面的不足, 构建了基于连续损伤力学和晶体塑性的嵌入式双尺度模型. 通过引入幂律形式的尺度关联机制, 该模型实现了细观晶粒尺度累积能量耗散与宏观损伤的定量关联, 从宏观和细观尺度阐明了微动疲劳裂纹萌生机理并建立了寿命预测方法. 数值算例结果表明, 在宏观层面, 两尺度模型对裂纹萌生寿命与位置的预测较传统单尺度方法具有更高精度; 细观层面则可以提供细观结构的演化情况以及晶粒优先启动的滑移系, 揭示了材料损伤呈现非线性累积特征, 且晶界区域因取向差异与形貌非均匀性成为耗散能集中区域. 此外, 将两尺度模型应用于摩擦型高强螺栓连接的微动疲劳分析, 实现了从机理研究到工程应用的拓展. 本研究提出的两尺度分析方法有望为工程结构构件的微动疲劳寿命评估提供理论框架和数值分析工具.Abstract: Fretting fatigue is a common failure mode in engineering structures. It manifests as the degradation of fatigue strength or even early fracture due to micro-slip at the contact surface under the combined action of normal and cyclic loads. This study addresses the shortcomings of existing single-scale analysis methods and hierarchical multi-scale methods in revealing crack initiation mechanisms and improving life prediction accuracy. It constructs an embedded two-scale model based on continuum damage mechanics and crystal plasticity. By introducing a power-law scale correlation mechanism, the model quantitatively links the accumulated dissipation energy at the mesoscopic grain scale with macroscopic damage. It clarifies the fretting fatigue crack initiation mechanism and establishes a life prediction method from both macroscale and mesoscale. Numerical simulation results show that, at the macroscale, the two-scale model predicts crack initiation life and location with higher accuracy compared to traditional single-scale methods. At the mesoscale, it provides insights into the evolution of microstructures and the preferential activation of slip systems in grains, revealing that material damage exhibits nonlinear accumulation characteristics, and grain boundary regions become energy dissipation hotspots due to orientation differences and morphological heterogeneity. Additionally, the application of the two-scale model to fretting fatigue analysis of friction-type high-strength bolted connections successfully implements a transition from mechanistic investigation to engineering practice. The two-scale analysis method proposed in this study is expected to provide a theoretical framework and numerical analysis tool for assessing the fretting fatigue life of engineering structural components.