Page 132 - 《摩擦学学报》2021年第5期

第 5 期 王大刚, 等: 考虑微动磨损的钢丝微动疲劳裂纹扩展寿命预测研究 721

钢丝微动疲劳寿命(微动疲劳断裂对应疲劳周次)试验 10.1016/j.triboint.2012.04.008.
值为31 860次；由图11(b~e)可知，微动疲劳断裂后，疲 [ 5 ] Wang Dagang, Song Daozhu, Wang Xiangru, et al. Tribo-fatigue
behaviors of steel wires under coupled tension-torsion in different
劳钢丝椭圆状裂纹前缘长轴、短轴长度分别为998.8 μm
environmental media[J]. Wear, 2019, 420-421: 38–53. doi: 10.1016/
和505.8 μm，最大裂纹深度和裂纹萌生位置分别为498 μm
j.wear.2018.12.038.
和l=62 μm. 由上文可知，微动疲劳裂纹萌生时疲劳钢
[ 6 ] Takeuchi M, Waterhouse R B, Mutoh Y, et al. The behaviour of
丝初始裂纹深度为70 μm；依据3.3节、该组微动疲劳试 fatigue crack growth in the fretting-corrosion-fatigue of high tensile
验参数、磨痕尺寸参数和裂纹特性参数等，开展钢丝 roping steel in air and seawater[J]. Fatigue & Fracture of
微动疲劳裂纹扩展有限元分析，可获得微动疲劳断裂 Engineering Materials & Structures, 1991, 14(1): 69–77. doi:
时疲劳钢丝裂纹扩展深度预测值为376 μm[图11(f)]， 10.1111/j.1460-2695.1991.tb00643.x.
故疲劳钢丝最大裂纹深度预测值为446 μm，这与最大 [ 7 ] Guo Tong, Liu Zhongxiang, Correia J, et al. Experimental study on
fretting-fatigue of bridge cable wires[J]. International Journal of
裂纹深度试验值相对误差10.4%. 由图11(g)可得疲劳
Fatigue, 2020, 131: 105321. doi: 10.1016/j.ijfatigue.2019.105321.
钢丝微动疲劳裂纹扩展寿命预测值为7 660次；通过微
[ 8 ] Wang Dagang, Li Xiaowu, Wang Xiangru, et al. Dynamic wear
动疲劳试验可知，疲劳钢丝微动疲劳寿命和裂纹萌生 evolution and crack propagation behaviors of steel wires during
寿命分别为31 860和25 000次，故微动疲劳裂纹扩展 fretting-fatigue[J]. Tribology International, 2016, 101: 348–355. doi:
寿命试验值为6 860次. 因此，疲劳钢丝微动疲劳裂纹 10.1016/j.triboint.2016.05.003.
扩展寿命预测值和试验值相对误差为11.7%，进一步 [ 9 ] Wang Xiangru, Wang Dagang, Li Xiaowu, et al. Comparative
验证了考虑微动磨损的钢丝微动疲劳裂纹扩展寿命 analyses of torsional fretting, longitudinal fretting and combined
longitudinal and torsional fretting behaviors of steel wires[J].
预测模型正确性.

Engineering Failure Analysis, 2018, 85: 116–125. doi: 10.1016/
4 结论 j.engfailanal.2017.12.002.
[10] Zhang Dekun, Yang Xuehui, Chen Kai, et al. Fretting fatigue
a. 运用有限元迭代法和摩擦学理论建立钢丝微 behavior of steel wires contact interface under different crossing
动磨损预测模型，选取微动疲劳过程中稳定阶段磨损 angles[J]. Wear, 2018, 400-401: 52–61. doi: 10.1016/j.wear.2017.
3
−9
系数平均值4.8×10 mm /(N·mm)预测钢丝微动磨损 12.014.
演化可保证预测正确性. 疲劳钢丝微动疲劳断口呈现 [11] Llavori I, Zabala A, Otaño N, et al. Development of a modular
fretting wear and fretting fatigue tribometer for thin steel wires:
裂纹萌生区、扩展区和瞬断区，疲劳钢丝主要呈I型裂
design concept and preliminary analysis of the effect of crossing
纹扩展.
angle on tangential force[J]. Metals, 2019, 9(6): 674. doi: 10.3390/
b. 运用有限元网格重划分和虚拟裂纹闭合技术、
met9060674.
断裂力学理论等建立钢丝微动疲劳裂纹扩展寿命预 [12] Sun Zheng, Xu Chunming, Peng Yuxing, et al. Fretting tribological
测模型，考虑微动磨损的钢丝微动疲劳裂纹扩展寿命 behaviors of steel wires under lubricating grease with compound
预测值和试验值吻合较好，验证了预测模型正确性. additives of graphene and graphite[J]. Wear, 2020, 454-455: 203333.
doi: 10.1016/j.wear.2020.203333.
参 考 文 献
[13] Xu Chunming, Peng Yuxing, Zhu Zhencai, et al. Fretting friction
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