Study on Scatter in Crack Propagation of Subsurface for Rough Surface Under Frictionless Contact
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摘要: 针对粗糙曲面无摩擦接触,为探究表面粗糙度对亚表面裂纹扩展分散性的影响,借助FFT粗糙表面重构方法获得不同统计分布下的随机形貌样本,通过弹性接触数值计算确定形貌样本对应接触压力分布,以所得接触压力分布为输入,基于线弹性接触力学和扩展有限元法计算亚表面裂纹在不同曲率半径和外载下的扩展路径与寿命。结果表明:1)相同粗糙度统计分布下裂纹扩展路径与寿命表现出较大分散性,且分散性与粗糙度标准偏差、曲率半径和外载有关;2)曲率半径对裂纹扩展寿命影响很大,不同曲率半径下裂纹扩展寿命变化规律相差迥异;3)粗糙度相关长度对裂纹扩展影响较小,两者未表现出显著相关性。Abstract: To investigate the influence of roughness on the scatter in the propagation of subsurface crack for frictionless contact of rough surfaces, random topography samples with different statistical distributions were first obtained with the FFT simulation method. The contact pressure distributions of the simulated topography samples were then determined through the elastic contactcalculation. With the calculated pressure distributions as input, the propagation paths and propagation lives of subsurface crack were calculated for different curvature radii and loads. The results show that: 1) the crack propagation paths and propagation lives have great dispersity under the same roughness statistical distribution, and the dispersity correlates with the standard deviation of roughness, curvature radius and load; 2) the effect of the curvature radius on the crack propagation life is so great that the variations of the crack propagation life vary greatly for different curvature radii; 3) the correlation length of roughness has slight effect on the crack propagation, and no significant correlation between them is found.
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Key words:
- roughness /
- contact fatigue /
- crack propagation /
- scatter
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表 1 分散性大小对比
名称 W = 0.5 W = 1 ρ = 500 ρ = 5000 ρ = 5000 ρ = ∞ 最大寿命 4.447 5.958 0.537 0.0695 最小寿命 3.994 2.164 0.3957 0.0444 寿命百分比 11.34 175.32 35.73 59.4 寿命分布标准偏差 0.215 1.368 0.064 0.011 -
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