Contact fatigue failures of gears, especially those used in heavy duty conditions such as wind turbine gears, become important issues in mechanical transmission industry. In the present work, a continuous damage mechanism and Voronoi-based finite element model is developed to investigate the contact fatigue of a wind turbine gear. Plane strain assumption is adopted to simplify the gear contact model. Voronoi tessellations are utilized to represent the microstructure topology of the gear material, and continuous damage mechanism is implemented to reflect the material degradation within critical substrate area. With the developed framework, the contact pressure distribution, intergranular mechanical response and the progressive fatigue damage at the grain boundaries during repeated gear meshing are evaluated and discussed in detail. The depths of the maximum shear stress reversal and the crack initiation agree well with previously reported findings. The influence of microstructure on the gear contact fatigue behavior is also investigated.
OsmanTVelexP. A model for the simulation of the interactions between dynamic tooth loads and contact fatigue in spur gears. Tribol Int2012; 46: 84–96.
2.
LiuHZhuCSunZ, et al.Starved lubrication of a spur gear pair. Tribol Int2016; 94: 52–60.
3.
ZhangQZhangJWuC, et al.The evaluation of contact fatigue strength for 20MnCr5 carburized gear. Int J Precis Eng Manuf2014; 15: 117–121.
4.
SadeghiFJalalahmadiBSlackTS, et al.A review of rolling contact fatigue. J Tribol2009; 131: 041403.
5.
WeinzapfelNSadeghiFBakolasV. An approach for modeling material grain structure in investigations of Hertzian subsurface stresses and rolling contact fatigue. J Tribol2010; 132: 041404.
6.
WalvekarAAPaulsonNSadeghiF, et al.A new approach for fatigue damage modeling of subsurface-initiated spalling in large rolling contacts. J Tribol2017; 139: 011101.
7.
KoyamaMXiZ-JYoshidaY, et al.Intergranular fatigue crack initiation and its associated small fatigue crack propagation in water-quenched Fe–C fully ferritic steel. ISIJ Int2015; 55: 2463–2468.
8.
FarfánSRubio-GonzálezCCervantes-HernándezT, et al.High cycle fatigue, low cycle fatigue and failure modes of a carburized steel. Int J Fatigue2004; 26: 673–678.
9.
LiangXZuoMJPandeyM. Analytically evaluating the influence of crack on the mesh stiffness of a planetary gear set. Mech Mach Theory2014; 76: 20–38.
10.
ZhouCLiZHuB, et al.Analytical solution to bending and contact strength of spiral bevel gears in consideration of friction. Int J Mech Sci2017; 128–129: 475–485.
11.
ŠramlMFlaškerJ. Computational approach to contact fatigue damage initiation analysis of gear teeth flanks. Int J Adv Manuf Technol2007; 31: 1066–1075.
12.
SantusCBeghiniMBartilottaI, et al.Surface and subsurface rolling contact fatigue characteristic depths and proposal of stress indexes. Int J Fatigue2012; 45: 71–81.
13.
QinWJGuanCY. An investigation of contact stresses and crack initiation in spur gears based on finite element dynamics analysis. Int J Mech Sci2014; 83: 96–103.
14.
Hoa NganNBocherP. Finite element analysis simulation of the effect of induction hardening on rolling contact fatigue. J Tribol2018; 140: 061404–10.
15.
EpsteinDKeerLMWangQJ, et al.Effect of surface topography on contact fatigue in mixed lubrication. Tribol Trans2003; 46: 506–513.
16.
ZaretskyEVPoplawskiJVPetersSM. Comparison of life theories for rolling-element bearings. Tribol Trans1996; 39: 237–248.
17.
KimTHOlverAV. Stress history in rolling-sliding contact of rough surfaces. Tribol Int1998; 31: 727–736.
18.
IoannidesEHarrisTA. A new fatigue life model for rolling bearings. J Tribol1985; 107: 367–378.
19.
RingsbergJW. Life prediction of rolling contact fatigue crack initiation. Int J Fatigue2001; 23: 575–586.
20.
RajeNSadeghiFRateickRG, et al.A numerical model for life scatter in rolling element bearings. J Tribol2008, pp. 130.
21.
BryantMDKhonsariMMLingFF. On the thermodynamics of degradation. Proc: Math Phys Eng Sci2008; 464: 2001–2014.
22.
Litvin FL and Fuentes A. Gear geometry and applied theory. Cambridge, UK: Cambridge University Press, 2004.
23.
LiuHMaoKZhuC, et al.Mixed lubricated line contact analysis for spur gears using a deterministic model. J Tribol2012; 134: 021501.
24.
SharafMKucharczykPVajraguptaN, et al.Modeling the microstructure influence on fatigue life variability in structural steels. Comput Mater Sci2014; 94: 258–272.
25.
ChenSLiuXLiuL. Effects of grain size and heterogeneity on the mechanical behavior of foil rolling. Int J Mech Sci2015; 100: 226–236.
26.
Herceg M, Kvasnica M, Jones CN, et al. Multi-parametric toolbox 3.0. In: 2013 European control conference (ECC), 2013, pp.502–510. IEEE.
JalalahmadiBSadeghiF. A Voronoi FE fatigue damage model for life scatter in rolling contacts. J Tribol2010; 132: 021404.
29.
Lemaitre J. A course on damage mechanics. Berlin, Germany: Springer Science & Business Media, 2012.
30.
RajeNSadeghiFRateickRG, et al.A numerical model for life scatter in rolling element bearings. J Tribol2008; 130: 011011.
31.
RajeNSadeghiF. Statistical numerical modelling of sub-surface initiated spalling in bearing contacts. Proc IMechE, Part J: J Engineering Tribology2009; 223: 849–858.
32.
ChenLChenQShaoE. Study on initiation and propagation angles of subsurface cracks in GCr15 bearing steel under rolling contact. Wear1989; 133: 205–218.
33.
FajdigaGGlodežSKramarJ. Pitting formation due to surface and subsurface initiated fatigue crack growth in contacting mechanical elements. Wear2007; 262: 1217–1224.
