Page 108 - 摩擦学学报2025年第9期

1362 摩擦学学报（中英文） 第 45 卷

4 000 1 000

(a) Type (b) Type
3 000 Max 800 Max
99% 600 99%
Mean
Mean
2 000
Crack length/μm 1 000 Min Crack depth/μm 200 Min
1%
1%
400
40
300
30
20
200
10
100
0
0 −10
1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3
(μ=0.38, P 0 /k e =4.0) (μ=0.49, P 0 /k e =3.0) (μ=0.23, P 0 /k e =2.4) (μ=0.38, P 0 /k e =4.0) (μ=0.49, P 0 /k e =3.0) (μ=0.23, P 0 /k e =2.4)
50
(c) Type
40 Max
99%
Mean
30
Crack angle/(°) 20 Min
1%
10
0
−10
1 2 3 1 2 3 1 2 3
(μ=0.38, P 0 /k e =4.0) (μ=0.49, P 0 /k e =3.0) (μ=0.23, P 0 /k e =2.4)

Fig. 9 Statistical box plot of the length, depth and angel of each crack on the cross-section of the damaged rail materials under
different contact parameters: (a) crack length; (b) crack depth; (c) crack angel
图 9 不同接触参数条件下疲劳损伤钢轨试样剖面存在的每条裂纹长度、深度和扩展末端角度统计箱线图：(a) 裂纹长度；(b)
裂纹深度；(c) 裂纹角度

表 4 裂纹单个评价指标的统计数据
Table 4 Statistical data of the single evaluation index of cracks
Single evaluation index
Tests Samples
Average length/μm Average depth/μm Average angel/(°)
Sample 1 164.9 13 7.2
Sample 2 139.1 9.9 7.9
(μ=0.38, P 0 /k e =4.0)
Sample 3 123.6 10.9 9.1
Average 142.5±17 11.3±1.3 8.1±0.8
Sample 1 91.9 18.4 17.1
Sample 2 96.6 11 11.6
(μ=0.49, P 0 /k e =3.0)
Sample 3 67.1 6.7 9.6
Average 85.2±12.9 12±4.8 12.8±3.2
Sample 1 1 954.7 649.2 27
Sample 2 1 715.5 596.9 21.5
(μ=0.23, P 0 /k e =2.4)
Sample 3 1 889.6 594.7 21.3
Average 1 853.3±101 613.6±25.2 23.3±2.6

[24]
2.3 其他量化评价方法对比 动接触疲劳裂纹损伤量 . 根据此评价方法，对不同
轮轨滚动接触疲劳裂纹在轮轨接触界面萌生后， 接触条件下的滚动接触疲劳模拟试验结果进行量化
将会分别在磨损表面横向扩展和向材料内部扩展. 因 评判，基于裂纹扩展面积方法的裂纹损伤量的具体计

此，利用裂纹在试样表面的扩展长度均值 c与裂纹向 算结果列于表6中. 此结果与本文中新建立的基于裂
材料内部扩展的曲线长度均值 d的乘积大小S area 表示 纹损伤三维体积的量化评价结果是一致的，然而，基
试样上的裂纹扩展面积，以裂纹扩展面积S area 评判滚 于裂纹扩展面积的量化评价方法中未考虑对疲劳裂