利用有限元分析方法，研究裂纹与内圈轴向的夹角和裂纹与内圈径向的夹角两个因素对于裂纹扩展速率的影响。研究结果表明：当裂纹与内圈轴向夹角在10°左右时，裂纹扩展速率出现最大值，等效应力强度因子为0.22MPa ·m0.5；夹角在90°左右时，裂纹扩展速率出现最小值，等效应力强度因子为0.039MPa ·m0.5。当裂纹与内圈径向夹角在10°左右时，裂纹扩展速率出现最大值，等效应力强度因子为0.19MPa ·m0.5；夹角在80°和-80°左右时，裂纹扩展速率出现最小值，等效应力强度因子为0.15MPa ·m0.5。
Effects of crack orientations on stress intensity factors were studied using the finite element analysis method. We considered the angle between the crack orientation and inner ring axial direction and the angle between the crack orientation and inner ring radius direction. The results indicate that when the angle between the crack orientation and inner ring axial direction is about 10°, the crack propagation rate reaches a maximum and the equivalent stress intensity factor is 0.22MPa·m0.5. The crack propagation rate reaches a minimum and the equivalent stress intensity factor is 0.039MPa·m0.5 when the angle between the crack orientation and inner ring axial direction is about 90°. When the angle between the crack orientation and inner ring radius direction is about 10°, the crack propagation rate reaches another maximum and the equivalent stress intensity factor is 0.19MPa·m0.5. When the angle between the crack orientation and inner ring radius direction is about 80° or -80°, the crack propagation rate reaches another minimum and the equivalent stress intensity factor is about 0.15MPa·m0.5. These results indicate that the crack orientation influences the crack propagation rate significantly.
[1] Ali J B, Chebel-Morello B, Saidi L, et al. Accurate bearing remaining useful life prediction based on Weibull distribution and artificial neural network[J]. Mechanical Systems and Signal Processing, 2015, s 56/57:150-172.
[2] Rai A, Upadhyay S H. A review on signal processing techniques utilized in the fault diagnosis of rolling element bearings[J]. Tribology International, 2016, 96:289-306.
[3] Dong S, Sun D, Tang B, et al. A fault diagnosis method for rotating machinery based on PCA and morlet kernel SVM[J]. Mathematical Problems in Engineering, 2014, 2014(10):1-8.
[4] Noury P, Eriksson K. Determination of stress intensity factors for cracked bridge roller bearings using finite element analyses[J]. Engineering Fracture Mechanics, 2017, 169:67-73.
[5] Deng S, Hua L, Han X, et al. Analysis of surface crack growth under rolling contact fatigue in a linear contact[J]. Tribology Transactions, 2015, 58(3):432-443.
[6] Deng S, Qin X, Huang S. A study on the effect of subsurface crack propagation on rolling contact fatigue in a bearing ring[J]. Journal of Mechanical Science and Technology, 2015, 29(3):1029-1038.
[7] Hua L, Deng S, Han X, et al. Effect of material defects on crack initiation under rolling contact fatigue in a bearing ring[J]. Tribology International, 2013, 66:315-323.
[8] Nejad R M. Using three-dimensional finite element analysis for simulation of residual stresses in railway wheels[J]. Engineering Failure Analysis, 2014(1), 45:449-455.
[9] Nejad R M, Farhangdoost K, Shariati M. Numerical study on fatigue crack growth in railway wheels under the influence of residual stresses[J]. Engineering Failure Analysis, 2015, 52:75-89.
[10] Nejad R M, Shariati M, Farhangdoost K. Effect of wear on rolling contact fatigue crack growth in rails[J]. Tribology International, 2016, 94:118-125.
[11] Paris P C, Erdogan F. A critical analysis of crack propagation laws[J]. Journal of Basic Engineering, 1963, 85(4):528-533.
[12] Rycerz P, Olver A, Kadiric A. Propagation of surface initiated rolling contact fatigue cracks in bearing steel[J]. International Journal of Fatigue, 2017, 97:29-38.
