Research Papers: Contact Mechanics

A Coupled Multibody Finite Element Model for Investigating Effects of Surface Defects on Rolling Contact Fatigue

[+] Author and Article Information
Zamzam Golmohammadi

School of Mechanical Engineering,
Purdue University,
West Lafayette, IN 47907
e-mail: zgolmoha@purdue.edu

Farshid Sadeghi

Fellow ASME
School of Mechanical Engineering,
Purdue University,
West Lafayette, IN 47907
e-mail: sadeghi@purdue.edu

1Corresponding author.

Contributed by the Tribology Division of ASME for publication in the JOURNAL OF TRIBOLOGY. Manuscript received July 26, 2018; final manuscript received December 3, 2018; published online January 22, 2019. Assoc. Editor: Wenzhong Wang.

J. Tribol 141(4), 041402 (Jan 22, 2019) (11 pages) Paper No: TRIB-18-1299; doi: 10.1115/1.4042270 History: Received July 26, 2018; Revised December 03, 2018

A coupled multibody elastic–plastic finite element (FE) model was developed to investigate the effects of surface defects, such as dents on rolling contact fatigue (RCF). The coupled Voronoi FE model was used to determine the contact pressure acting over the surface defect, internal stresses, damage, etc. In order to determine the shape of a dent and material pile up during the over rolling process, a rigid indenter was pressed against an elastic plastic semi-infinite domain. Continuum damage mechanics (CDM) was used to account for material degradation during RCF. Using CDM, spall initiation and propagation in a line contact was modeled and investigated. A parametric study using the model was performed to examine the effects of dent sharpness, pile up ratio, and applied load on the spall formation and fatigue life. The spall patterns were found to be consistent with experimental observations from the open literature. Moreover, the results demonstrated that the dent shape and sharpness had a significant effect on pressure and thus fatigue life. Higher dent sharpness ratios significantly reduced the fatigue life.

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Harris, T. A. , 2001, Rolling Bearing Analysis, Wiley, New York.
Littmann, W. E. , “The Mechanism of Contact Fatigue,” National Aeronautics and Space Administration, Washington, DC, Report No. SP-237.
Littmann, W. E. , and Widner, R. L. , 1966, “Propagation of Contact Fatigue From Surface and Subsurface Origins,” ASME J. Basic Eng., 88(3), pp. 624–36. [CrossRef]
Nelias, D. , and Ville, F. , 2000, “Detrimental Effects of Debris Dents on Rolling Contact Fatigue,” ASME J. Tribol., 122, pp. 55–64. [CrossRef]
Fitzsimmons, B. , and Clevenger, H. D. , 1977, “Contaminated Lubricants and Tapered Roller Bearing Wear,” ASLE Trans., 20(2), pp. 97–107. [CrossRef]
Perrotto, J. A. , 1979, “Effect of Abrasive Contamination on Ball Bearing Performance,” ASLE J. Lubr. Eng., 35(12), pp. 698–705.
Loewenthal, S. H. , and Moyer, D. W. , 1979, “Filtration Effects on Ball Bearing Life and Condition in a Contaminated Lubricant,” ASME J. Lubr. Technol., 101(2), pp. 171–176. [CrossRef]
Needelman, W. M. , 1980, “Filtration for Wear Control,” ASME Wear Control Handbook, ASME Press, New York, pp. 507–82.
Loewenthal, S. H. , Moyer, D. W. , and Needelman, W. M. , 1982, “Effects of Ultra-Clean and Centrifugal Filtration on Rolling-Element Bearing Life,” ASME J. Lubr. Technol., 104(3), pp. 283–291. [CrossRef]
Ioannides, E. , Beghini, E. , Jacobson, B. , Bergling, G. , and Wuttkowski, J. G. , 1993, “Cleanliness and Its Importance to Bearing Performance,” STLE Lubr. Eng., 49(9), pp. 657–663.
Webster, M. N. , Ioannides, E. , and Saules, R. S. , 1985, “The Effects of Topographical Defects on the Contact Stress and Fatigue Life in Rolling Element Bearings,” 12th Leeds-Lyon Symposium on Tribology, pp. 121–131.
Sayles, R. S. , and Ioannides, E. , 1988, “Debris Damage in Rolling Bearings and Its Effects on Fatigue Life,” ASME J. Tribol., 110(1), pp. 26–31. [CrossRef]
Lorosch, H.-K. , 1985, “Research on Longer Life for Rolling-Element Bearings,” Lubr. Eng., 41, pp. 37–43.
Ai, X. , 2001, “Effect of Debris Contamination on the Fatigue Life of Roller Bearings,” Proc. Inst. Mech. Eng. Part J, 215(6), pp. 563–575. [CrossRef]
Ai, X. , and Nixon, H. P. , 2000, “Fatigue Life Reduction of Roller Bearings Due to Debris Denting—Part I: Theoretical Modeling,” Tribol. Trans., 43(2), pp. 197–204. [CrossRef]
Vieillard, C. , Kadin, Y. , Morales-Espejel, G. E. , and Gabelli, A. , 2016, “An Experimental and Theoretical Study of Surface Rolling Contact Fatigue Damage Progression in Hybrid Bearings With Artificial Dents,” Wear, 364, pp. 211–223. [CrossRef]
Makino, T. , Neishi, Y. , Shiozawa, D. , Kikuchi, S. , Okada, S. , Kajiwara, K. , and Nakai, Y. , 2016, “Effect of Defect Shape on Rolling Contact Fatigue Crack Initiation and Propagation in High Strength Steel,” Int. J. Fatigue, 92, pp. 507–516. [CrossRef]
Matsunaga, H. , Komata, H. , Yamabe, J. , Fukushima, Y. , and Matsuoka, S. , 2014, “Effect of Size and Depth of Small Defect on the Rolling Contact Fatigue Strength of Bearing Steel JIS-SUJ2,” Procedia Mater. Sci., 3, pp. 1663–1668. [CrossRef]
Da Mota, V. , Moreira, P. , and Ferreira, L. A. A. , 2008, “A Study on the Effects of Dented Surfaces on Rolling Contact Fatigue,” Int. J. Fatigue, 30, pp. 1997–2008. [CrossRef]
Gao, N. , Dwyer-Joyce, R. S. , and Beynon, J. H. , 1999, “Effects of Surface Defects on Rolling Contact Fatigue of 60/40 Brass,” Wear, 225, pp. 983–994. [CrossRef]
Nelias, D. , Jacq, C. , Lormand, G. , Dudragne, G. , and Vincent, A. , 2005, “New Methodology to Evaluate the Rolling Contact Fatigue Performance of Bearing Steels With Surface Dents: Application to 32CrMoV13 (nitrided) and M50 Steels,” ASME J. Tribol., 127, pp. 611–622. [CrossRef]
Tallian, T. E. , 1992, Failure Atlas for Hertz Contact Machine Elements, American Society of Mechanical Engineers, New York.
Tallian, T. E. , 1976, “Prediction of Rolling Contact Fatigue Life in Contaminated Lubricant—Part II: Experimental,” ASME J. Lubr. Technol., 98(3), pp. 384–392. [CrossRef]
Ueda, T. , and Mitamura, N. , 2008, “Mechanism of Dent Initiated Flaking and Bearing Life Enhancement Technology Under Contaminated Lubrication Condition—Part I: Effect of Tangential Force on Dent Initiated Flaking,” Tribol. Int., 41(11), pp. 965–974. [CrossRef]
Dommarco, R. C. , Bastias, P. C. , Rubin, C. A. , and Hahn, G. T. , 2006, “The Influence of Material Build Up Around Artificial Defects on Rolling Contact Fatigue Life and Failure Mechanism,” Wear, 260(11–12), pp. 1317–1323. [CrossRef]
Ville, F. , and Nelias, D. , 1999, “An Experimental Study on the Concentration and Shape of Dents Caused by Spherical Metallic Particles in EHL Contacts,” Tribol. Trans., 42(1), pp. 231–240. [CrossRef]
Coulon, S. , Jubault, I. , Lubrecht, A. A. , Ville, F. , and Vergne, P. , 2004, “Pressure Profiles Measured Within Lubricated Contacts in Presence of Dented Surfaces—Comparison With Numerical Models,” Tribol. Int., 37(2), pp. 111–117. [CrossRef]
Kang, Y. S. , Sadeghi, F. , and Hoeprich, M. R. , 2004, “A Finite Element Model for Spherical Debris Denting in Heavily Loaded Contacts,” ASME J. Tribol., 126(1), pp. 71–80. [CrossRef]
Nikas, G. K. , 2006, “A Mechanistic Model of Spherical Particle Entrapment in Elliptical Contacts,” Proc. Inst. Mech. Eng. Part J, 220(6), pp. 507–522. [CrossRef]
Ai, X. , and Lee, S. C. , 1996, “Effect of Slide-to-Roll Ratio on Interior Stresses Around a Dent in EHL Contacts,” Tribol. Trans., 39(4), pp. 881–889. [CrossRef]
Ioannides, E. , and Harris, T. A. , 1985, “A New Fatigue Life Model for Rolling Bearings,” ASME J. Tribol., 107(3), pp. 367–377. [CrossRef]
Ko, C. N. , and loannides, E. , 1989, “Debris Denting—The Associated Residual Stresses and Their Effect on the Fatigue Life of Rolling Bearing: An FEM Analysis,” Tribol. Ser., 14, pp. 199–207. [CrossRef]
Hamer, J. C. , Sayles, R. S. , and Ioannides, E. , 1989, “Particle Deformation and Counterface Damage When Relatively Soft Particles Are Squashed Between Hard Anvils,” Tribol. Trans., 32(3), pp. 281–288. [CrossRef]
Lubrecht, A. A. , Venner, C. H. , Lane, S. , Jacobson, B. O. , and Ioannides, E. , 1990, “Surface Damage–Comparison of Theoretical and Experimental Lives of Rolling Bearings,” Japan Institute of Tribology Conference, Nagoya, Japan, pp. 185–190.
Coulon, S. , Ville, F. , and Lubrecht, A. A. , 2002, “An Abacus for Predicting the Rolling Contact Fatigue Life Reduction Due to Debris Dents,” Tribol. Ser., 40, pp. 283–293. [CrossRef]
Biboulet, N. , Lubrecht, A. A. , and Houpert, L. , 2008, “Contact Pressure in Indented Elastohydrodynamic Lubrication Contacts,” Proc. Inst. Mech. Eng. Part J, 222(3), pp. 415–421. [CrossRef]
Biboulet, N. , Houpert, L. , and Lubrecht, A. A. , 2013, “Contact Stress and Rolling Contact Fatigue of Indented Contacts—Part I: Numerical Analysis,” Proc. Inst. Mech. Eng. Part J, 227(4), pp. 310–318. [CrossRef]
Lubrecht, A. A. , Dwyer-Joyce, R. S. , and Ioannides, E. , 1992, “Paper IV (III) Analysis of the Influence of Indentations on Contact Life,” Tribol. Ser., 21, pp. 173–181. [CrossRef]
Coulon, S. , 2001, Prediction of the Lifetime of Punctual Contacts Lubricated in the Presence of Indentations, INSA, Villeurbanne, France.
Ai, X. , and Cheng, H. S. , 1994, “The Influence of Moving Dent on Point EHL Contacts,” Tribol. Trans., 37(2), pp. 323–335. [CrossRef]
Howell, M. B. , Rubin, C. A. , and Hahn, G. T. , 2004, “The Effect of Dent Size on the Pressure Distribution and Failure Location in Dry Point Frictionless Rolling Contacts,” ASME J. Tribol., 126(3), pp. 413–421. [CrossRef]
Lemaitre, J. , 1992, A Course on Damage Mechanics, Springer, Berlin, p. 42.
Chaboche, J.-L. , 1988, “Continuum Damage Mechanics: Part II—Damage Growth, Crack Initiation, and Crack Growth,” ASME J. Appl. Mech., 55(1), pp. 65–72. [CrossRef]
Jalalahmadi, B. , and Sadeghi, F. , 2010, “A Voronoi FE Fatigue Damage Model for Life Scatter in Rolling Contacts,” ASME J. Tribol., 132, p. 21404. [CrossRef]
Xiao, Y.-C. , Li, S. , and Gao, Z. , 1998, “A Continuum Damage Mechanics Model for High Cycle Fatigue,” Int. J. Fatigue, 20(7), pp. 503–508. [CrossRef]
Memon, I. R. , Zhang, X. , and Cui, D. , 2002, “Fatigue Life Prediction of 3-D Problems by Damage Mechanics With Two-Block Loading,” Int. J. Fatigue, 24(1), pp. 29–37.
Xu, G. , Sadeghi, F. , and Hoeprich, M. R. , 1998, “Dent Initiated Spall Formation in EHL Rolling/Sliding Contact,” ASME J. Tribol., 120(3), pp. 453–462. [CrossRef]
Xu, G. , and Sadeghi, F. , 1996, “Spall Initiation and Propagation Due to Debris Denting,” Wear, 201(1–2), pp. 106–116. [CrossRef]
Xu, G. , Sadeghi, F. , and Cogdell, J. D. , 1997, “Debris Denting Effects on Elastohydrodynamic Lubricated Contacts,” ASME J. Tribol., 119(3), pp. 579–587. [CrossRef]
Miller, K. J. , 1999, “A Historical Perspective of the Important Parameters of Metal Fatigue; and Problems for the Next Century,” Seventh Interantional Fatigue Congress, Beijing, China, June 8–12, pp. 15–39.
Warhadpande, A. , and Sadeghi, F. , 2010, “Effects of Surface Defects on Rolling Contact Fatigue of Heavily Loaded Lubricated Contacts,” Proc. Inst. Mech. Eng. Part J, 224(10), pp. 1061–1077. [CrossRef]
Bower, A. F. , and Johnson, K. L. , 1989, “The Influence of Strain Hardening on Cumulative Plastic Deformation in Rolling and Sliding Line Contact,” J. Mech. Phys. Solids, 37(4), pp. 471–493. [CrossRef]
Johnson, K. L. , 1989, “The Mechanics of Plastic Deformation of Surface and Subsurface Layers in Rolling and Sliding Contact,” Key Eng. Mater., 33, pp. 17–34. [CrossRef]
Mura, T. , and Nakasone, Y. , 1990, “A Theory of Fatigue Crack Initiation in Solids,” ASME J. Appl. Mech., 57(1), pp. 1–6. [CrossRef]
Cheng, W. , Cheng, H. S. , Mura, T. , and Keer, L. M. , 1994, “Micromechanics Modeling of Crack Initiation Under Contact Fatigue,” ASME J. Tribol., 116(1), pp. 2–8. [CrossRef]
Mihailidis, A. , Retzepis, J. , Salpistis, C. , and Panajiotidis, K. , 1999, “Calculation of Friction Coefficient and Temperature Field of Line Contacts Lubricated With a Non-Newtonian Fluid,” Wear, 232(2), pp. 213–220. [CrossRef]
Mihallidis, A. , Salpistis, C. , Drivakos, N. , and Panagiotidis, K. , 2003, “Friction Behavior of FVA Reference Mineral Oils Obtained by a Newly Designed Two-Disk Test Rig,” International Conference Power Transmission, Varna, Bulgaria, Sept. 11–12, pp. 32–37.
Okabe, A. , and Boots, B. , 1992, Spatial Tessellation: Concepts and Applications of Voronoi Diagrams, Wiley, New York.
Mucklich, F. , Ohser, J. , and Schneider, G. , 1997, “The Characterization of Homogeneous Polyhedral Microstructures Applying the Spatial Poisson-Voronoi Tesselation Compared to the Standard DIN 50601,” Z. Fur. Met., 88, pp. 27–32.
Slack, T. , and Sadeghi, F. , 2011, “Cohesive Zone Modeling of Intergranular Fatigue Damage in Rolling Contacts,” Tribol. Int., 44(7–8), pp. 797–804. [CrossRef]
Warhadpande, A. , Jalalahmadi, B. , Slack, T. , and Sadeghi, F. , 2010, “A New Finite Element Fatigue Modeling Approach for Life Scatter in Tensile Steel Specimens,” Int. J. Fatigue, 32(4), pp. 685–697. [CrossRef]
Weinzapfel, N. , and Sadeghi, F. , 2013, “Numerical Modeling of Sub-Surface Initiated Spalling in Rolling Contacts,” Tribol. Int., 59, pp. 210–221. [CrossRef]
Ahmadi, A. , Mirzaeifar, R. , Moghaddam, N. S. , Turabi, A. S. , Karaca, H. E. , and Elahinia, M. , 2016, “Effect of Manufacturing Parameters on Mechanical Properties of 316 L Stainless Steel Parts Fabricated by Selective Laser Melting: A Computational Framework,” Mater. Des., 112, pp. 328–338. [CrossRef]
Ahmadi, A. , Moghaddam, N. S. , Elahinia, M. , Karaca, H. E. , and Mirzaeifar, R. , 2016, “Finite Element Modeling of Selective Laser Melting 316l Stainless Steel Parts for Evaluating the Mechanical Properties,” ASME Paper No. MSEC2016-8594.
Ahmadi, A. , 2016, “A Micromechanical-Based Computational Framework for Modeling the Mechanical Properties of the Metallic Parts Fabricated by Selective Laser Melting,” Ph.D. thesis, The University of Toledo, Toledo, OH. https://pdfs.semanticscholar.org/8bbc/d5e4a4e8d6287cef8c76a1890855ea5caefe.pdf
Weinzapfel, N. , Sadeghi, F. , and Bakolas, V. , 2010, “An Approach for Modeling Material Grain Structure in Investigations of Hertzian Subsurface Stresses and Rolling Contact Fatigue,” ASME J. Tribol., 132, p. 41404. [CrossRef]
Raje, N. , Sadeghi, F. , and Rateick, R. G. , 2008, “A Statistical Damage Mechanics Model for Subsurface Initiated Spalling in Rolling Contacts,” ASME J. Tribol., 130, p. 42201. [CrossRef]
Bomidi, J. A. R. , Weinzapfel, N. , Sadeghi, F. , Liebel, A. , and Weber, J. , 2013, “An Improved Approach for 3D Rolling Contact Fatigue Simulations With Microstructure Topology,” Tribol. Trans., 56(3), pp. 385–399. [CrossRef]
Ghosh, A. , Leonard, B. , and Sadeghi, F. , 2013, “A Stress Based Damage Mechanics Model to Simulate Fretting Wear of Hertzian Line Contact in Partial Slip,” Wear, 307(1–2), pp. 87–99. [CrossRef]
Warhadpande, A. , Sadeghi, F. , Kotzalas, M. N. , and Doll, G. , 2012, “Effects of Plasticity on Subsurface Initiated Spalling in Rolling Contact Fatigue,” Int. J. Fatigue, 36(1), pp. 80–95. [CrossRef]
Walvekar, A. A. , and Sadeghi, F. , 2017, “Rolling Contact Fatigue of Case Carburized Steels,” Int. J. Fatigue, 95, pp. 264–81. [CrossRef]
Bomidi, J. A. R. , and Sadeghi, F. , 2013, “Three-Dimensional Finite Element Elastic–Plastic Model for Subsurface Initiated Spalling in Rolling Contacts,” ASME J. Tribol., 136, p. 11402. [CrossRef]
Schlicht, H. , Schreiber, E. , and Zwirlein, O. , 1986, “Fatigue and Failure Mechanism of Bearings,” Fatigue Eng. Mater. Struct., 1, pp. 85–90.
Harris, T. A. , and Yu, W. K. , 1999, “Lundberg-Palmgren Fatigue Theory: Considerations of Failure Stress and Stressed Volume,” ASME J. Tribol., 121(1), pp. 85–89. [CrossRef]
Shimizu, S. , Tsuchiya, K. , and Tosha, K. , 2009, “Probabilistic Stress-Life (PSN) Study on Bearing Steel Using Alternating Torsion Life Test,” Tribol. Trans., 52(6), pp. 807–816. [CrossRef]


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Fig. 1

Geometry of roller and the flat domain in contact for RCF simulation (b is half contact width)

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Fig. 2

Flowchart for developed FE model with the effect of surface dent

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Fig. 3

Experimental Torsion S-N data and power law fit to the data for through hardened bearing steel JIS SUJ2 (AISI 52100 variant) from Ref. [75]

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Fig. 4

Bilinear profile of cyclic stress strain curve to calculate plastic strains corresponding to applied stresses over one fatigue cycle (Δεp)

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Fig. 5

A dented Voronoi domain using indentation simulation

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Fig. 6

The obtained contact pressure distribution over RVE for the first cycle from multibody FE model for (a) Voronoi domain without a dent and (b) dented Voronoi domain

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Fig. 7

The contact pressure distribution for the first cycle as the roller moves over the dent

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Fig. 8

The von Mises stress and accumulated plastic strains for (a) smooth Voronoi domain and (b) dented Voronoi domain

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Fig. 9

Spall initiation and propagation with corresponding plastic strains for different passes

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Fig. 10

Contact pressure and corresponding von Mises stress when roller moves over the dent for a different cycles (spall propagation)

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Fig. 11

Dent profiles with different sharpness

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Fig. 12

Weibull probability of RCF lives of Voronoi domains with different sharpness at a maximum contact pressure of (a) 2.5 GPa, (b) 2 GPa, and (c) 1.5 GPa

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Fig. 13

(a) Sharpness and (b) pile up ratio effects on RCF lives at various applied loads



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