Development of a Granular Cohesive Model for Rolling Contact Fatigue Analysis: Crystal Anisotropy Modeling

References

• Sadeghi, F., Jalalahmadi, B., Slack, T. S., Raje, N., and Arakere, N. K. (2009), “A Review of Rolling Contact Fatigue,” Journal of Tribology, 131(4), 041403.
   Web of Science ®Google Scholar
• Olver, A. V. (2005), “The Mechanism of Rolling Contact Fatigue: An Update,” Proceedings of the Institution of Mechanical Engineers - Part J: Journal of Engineering Tribology, 219(5), pp 313–330.
   Web of Science ®Google Scholar
• Keer, L. M. and Bryant, M. D. (1983), “A Pitting Model for Rolling Contact Fatigue,” Journal of Lubrication Technology, 105(2), pp 198–205.
   Web of Science ®Google Scholar
• Trollé, B., Baietto, M.-C., Gravouil, A., Mai, S. H., and Prabel, B. (2014), “2D fatigue Crack Propagation in Rails Taking into Account Actual Plastic Stresses,” Engineering Fracture Mechanics, 123, pp 163–181.
   Web of Science ®Google Scholar
• Pierres, E., Baietto, M.-C., and Gravouil, A. (2011), “Experimental and Numerical Analysis of Fretting Crack Formation Based on 3D X-FEM Frictional Contact Fatigue Crack Model,” Comptes Rendus Mécanique, 339(7–8), pp 532–551.
   Web of Science ®Google Scholar
• Raje, N., Slack, T., and Sadeghi, F. (2009), “A Discrete Damage Mechanics Model for High Cycle Fatigue in Polycrystalline Materials Subject to Rolling Contact,” International Journal of Fatigue, 31(2), pp 346–360.
   Web of Science ®Google Scholar
• Blal, N., Daridon, L., Monerie, Y., and Pagano, S. (2012), “Artificial Compliance Inherent to the Intrinsic Cohesive Zone Models: Criteria and Application to Planar Meshes,” International Journal of Fracture, 178(1–2), pp 71–83.
   Web of Science ®Google Scholar
• Sauzay, M. (2006), “Effet de l'Anisotropie Élastique Cristalline sur la Distribution des Facteurs de Schmid à la Surface des Polycristaux” (“Influence of crystalline elasticity anisotropy on Schmid factor distribution at the free surface of polycrystals”), Comptes Rendus Mécanique, 334(6), pp 353–361.
   Web of Science ®Google Scholar
• Paulson, N. R., Bomidi, J. A. R., Sadeghi, F., and Evans, R. D. (2014), “Effects of Crystal Elasticity on Rolling Contact Fatigue,” International Journal of Fatigue, 61, pp 67–75.
   Web of Science ®Google Scholar
• Alley, E. S. and Neu, R. W. (2010), “Microstructure-Sensitive Modeling of Rolling Contact Fatigue,” Interntaional Journal of Fatigue, 32(5), pp 841–850.
   Web of Science ®Google Scholar
• Romero de la Osa, M., Estevez, R., Olagnon, C., Chevalier, J., and Tallaron, C. (2009), “Modèle Cohésif pour la Propagation Lente de Fissures dans les Céramiques Polycristallines” (“Cohesive zone model and slow crack growth in ceramic polycrystals”), Congrès Français de Mécanique, Marseilles, France, August 24–28.
   Google Scholar
• Estevez, R., Romero de la Osa, M., Olagnon, C., and Chevalier, J. (2010), “Cohesive Zone Description and Analysis of Slow Crack Growth in Ceramics,” 13th International Conference on Fracture, Beijing, China, January 4–8.
   Google Scholar
• Warner, D. H. and Molinari, J. F. (2006), “Micromechanical Finite Element Modeling of Compressive Fracture in Confined Alumina Ceramic,” Acta Materialia, 54(19), pp 5135–5145.
   Web of Science ®Google Scholar
• 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,” Tribology Transactions, 56(3), pp 385–399.
   Web of Science ®Google Scholar
• Bhargava, V., Hahn, G. T., and Rubin, C. A. (1990), “Rolling Contact Deformation, Etching Effects, and Failure of High-Strength Bearing Steel,” Metallurgical Transactions A, 21, pp 1921–1931.
   Web of Science ®Google Scholar
• Warhadpande, A., Sadeghi, F., Evans, R. D., and Kotzalas, M. N. (2012), “Influence of Plasticity-Induced Residual Stresses on Rolling Contact Fatigue,” Tribology Transactions, 55(4), pp 422–437.
   Web of Science ®Google Scholar
• Xu, X.-P. and Needleman, A. (1994), “Numerical Simulations of Fast Crack Growth in Brittle Solids,” Journal of the Mechanics and Physics of Solids, 42(9), pp 1397–1434.
   Web of Science ®Google Scholar
• Nguyen, O., Repetto, E. A., Ortiz, M., and Radovitzky, R. A. (2001), “A Cohesive Model of Fatigue Crack Growth,” International Journal of Fracture, 110, pp 351–359.
   Web of Science ®Google Scholar
• Luther, T. and Könke, C. (2009), “Polycrystal Models for the Analysis of Intergranular Crack Growth in Metallic Materials,” Engineering Fracture Mechanics, 76(15), pp 2332–2343.
   Web of Science ®Google Scholar
• ANSYS (2012), ANSYS® Academic Research, Release 14.5, Help System Contact Technology Guide, ANSYS Inc.: Canonsburg, PA.
   Google Scholar
• Espinosa, H. D. and Zavattieri, P. D. (2003), “A Grain Level Model for the Study of Failure Initiation and Evolution in Polycrystalline Brittle Materials. Part I: Theory and Numerical Implementation,” Mechanics of Materials, 35(3–6), pp 333–364.
   Web of Science ®Google Scholar
• Noyel, J. P., Ville, F., Jacquet, P., and Gravouil, A. (2014), “Development of a Granular Cohesive Model for Rolling Contact Fatigue Analysis: Influence of Numerical Parameters,” International Gear Conference 2014, Lyon, France, August 26–28, P. Velex (Ed.), International Gear Conference 2014: 26th-28th August 2014, Lyon, pp 814–824, Elsevier: Cambridge, UK.
   Google Scholar
• Kachanov, L. (1986), Introduction to Continuum Damage Mechanics, Martinus Nijhoff Publishers: Dordrecht, Netherlands.
   Google Scholar
• Lemaitre, J., Chaboche, J. L., Benallal, A., and Desmorat, R. (2009), Mécanique des Matériaux Solides (Mechanics of solid materials), 3rd ed. Dunod: Paris, France.
   Google Scholar
• Lemaitre, J. and Desmorat, R. (2005), Engineering Damage Mechanics, Springer: Berlin, Germany.
   Google Scholar
• Longching, C., Qing, C., and Eryu, S., (1989), “Study on Initiation and Propagation Angles of Subsurface Cracks in GCr15 Bearing Steel under Rolling Contact,” Wear, 133, pp 205–218.
   Web of Science ®Google Scholar
• Qing, C., Eryu, S., Dongmei, Z., Juwen, G., and Fan, Z. (1991), “Measurement of the Critical Size of Inclusions Initiating Contact Fatigue Cracks and Its Application in Bearing Steel,” Wear, 147, pp 285–294.
   Web of Science ®Google Scholar
• Nélias, D., Dumont, M. L., Champiot, F., Vincent, A., Girodin, D., Fougères, R., and Flamand, L. (1999), “Role of Inclusions, Surface Roughness and Operating Conditions on Rolling Contact Fatigue,” Journal of Tribology, 121(2), pp 240–251.
   Web of Science ®Google Scholar
• Rabaso, P., Gauthier, T., Diaby, M., and Ville, F. (2013), “Rolling Contact Fatigue: Experimental Study of the Influence of Sliding, Load, and Material Properties on the Resistance to Micropitting of Steel Discs,” Tribology Transactions, 56(2), pp 203–214.
   Web of Science ®Google Scholar
• Allison, B., Subhash, G., Arakere, N., Haluck, D. A., and Chin, H. (2014), “Influence of Initial Residual Stress on Material Properties of Bearing Steel during Rolling Contact Fatigue,” Tribology Transactions, 57(3), pp 533–545.
   Web of Science ®Google Scholar
• Courtney, T. H. (1990), Mechanical Behavior of Materials, 2nd ed. McGraw Hill: Long Grove, IL.
   Google Scholar
• Hill, R. (1952), “The Elastic Behaviour of a Crystalline Aggregate,” Proceedings of the Physical Society Section A, 65, pp 349–354.
   Google Scholar
• Den Toonder, J. M. J., Van Dommelen, J. A. W., and Baaijens, F. P. T. (1999), “The Relation between Single Crystal Elasticity and the Effective Elastic Behaviour of Polycrystalline Materials: Theory, Measurement and Computation,” Modelling and Simulation in Materials Science and Engineering, 7(6), pp 909–928.
   Web of Science ®Google Scholar
• Besson, J., Cailletaud, G., Chaboche, J. L., and Forest, S. (2001), Mécanique Non Linéaire des Matériaux (Non-Linear Mechanics of Materials), Hermes: Paris, France.
   Google Scholar
• Ranganathan, S. and Ostojastarzewski, M. (2008), “Scaling Function, Anisotropy and the Size of RVE in Elastic Random Polycrystals,” Journal of the Mechanics and Physics of Solids, 56(9), pp 2773–2791.
   Web of Science ®Google Scholar
• El Houdaigui, F., Forest, S., Gourgues, A. F., and Jeulin, D. (2005), “On the Size of the Representative Volume Element for Isotropic Elastic Polycrystalline Copper,” IUTAM Symposium, Beijing, China, June 27–30, Y. L. Bai, Q. S. Zheng, and Y. G. Wei (Eds.) IUTAM Symposium on Mechanical Behavior and Micro-Mechanics of Nanostructured Materials, pp 171–180, Springer: Amsterdam.
   Google Scholar
• Berthelot, J. M. (2005), Matériaux Composites (Composite Materials), 4th ed. Lavoisier: Paris.
   Google Scholar
• Tvergaard, V. and Hutchinson, J. W. (1998), “Microcracking in Ceramics Induced by Thermal Expansion or Elastic Anisotropy,” Journal of the American Ceramics Society, 71, pp 3157–166.
   Google Scholar
• Fallahi, A. and Ataee, A. (2010), “Effects of Crystal Orientation on Stress Distribution Near the Triple Junction in a Tricrystal γ-TiAl,” Materials Science and Engineering A, 527(18–19), pp 4576–4581.
   Web of Science ®Google Scholar