An approach for modeling material grain structure in investigations of Hertzian subsurface stresses and rolling contact fatigue

Journal of Tribology

Volumn 132, Issue 4, 2010, Pages

  Weinzapfel, Nick ^a   Sadeghi, Farshid ^a   Bakolas, Vasilios ^b  

^a PURDUE UNIVERSITY   (United States)

^b LuK GmbH and Co oHG   (Germany)

Author keywords

finite element; Hertzian stresses; microstructure; rolling contact fatigue; Voronoi diagram

Indexed keywords

ANALYTICAL SOLUTIONS; CONTINUUM THEORY; CRITICAL PLANE APPROACH; CURRENT MODELS; ELASTIC HALF SPACE; FINITE ELEMENT; FINITE ELEMENT MODELS; FINITE ELEMENT SOFTWARE ABAQUS; HERTZIAN CONTACTS; HERTZIAN STRESS; INTERNAL GEOMETRY; INTERNAL MICROSTRUCTURE; INTERNAL STRESS; LINE CONTACT; MATERIAL GRAIN STRUCTURE; MATERIAL MICROSTRUCTURES; POLYCRYSTALLINE MICROSTRUCTURE; RANDOM MICROSTRUCTURE; ROLLING CONTACT FATIGUE; ROLLING ELEMENTS; SUBSURFACE STRESS; SURFACE LOADS; THEORY OF ELASTICITY; VORONOI CELL; VORONOI DIAGRAM; VORONOI TESSELLATIONS;

ABAQUS; COMPUTATIONAL GEOMETRY; COMPUTER SOFTWARE; CONTINUUM MECHANICS; ELASTICITY; FINITE ELEMENT METHOD; FRICTION; GRAPHIC METHODS; MICROSTRUCTURE; STRESS CONCENTRATION; THREE DIMENSIONAL;

TOPOLOGY;

EID: 79952640281     PISSN: 07424787     EISSN: 15288897     Source Type: Journal    
DOI: 10.1115/1.4002521     Document Type: Article

References (38)

1. Littmann, W. E., 1969, "The Mechanism of Contact Fatigue," NASA Special Report No. SP-237.
2. Littmann, W. E., and Widner, R. L., 1966, "Propagation of Contact Fatigue From Surface and Sub-Surface Origins," ASME J. Basic Eng., 88, pp. 624-636.
3. Tallian, T. E., 1999, Failure Atlas for Hertz Contact Machine Elements, ASME, New York, pp. 179-231.
4. Hertz, H., 1882, "On the Contact of Elastic Solids," J. Reine Angew. Math., 92, pp. 156-171.
5. Sadeghi, F., Jalalahmadi, B., Slack, T., Raje, N., and Arakere, N. K., 2009, "A Review of Rolling Contact Fatigue," ASME J. Tribol., 131, p. 041403.
6. Österlund, R., and Vingsbo, O., 1980, "Phase Changes in Fatigued Ball Bearings," Metall. Trans. A, 11A, pp. 701-707.
7. Voskamp, A. P., 1985, "Material Response to Rolling Contact Loading," ASME J. Tribol., 107, pp. 359-364.
8. Zaretsky, E. V., Parker, R. J., and Anderson, W. J., 1969, "A Study of Residual Stress Induced During Rolling," ASME J. Lubr. Technol., 91, pp. 314-319.
9. Murakami, Y., Kodama, S., and Konuma, S., 1989, "Quantitative Evaluation of Effects of Non-Metallic Inclusions on Fatigue Strength of High Strength Steels. I: Basic Fatigue Mechanism and Evaluation of Correlation Between the Fatigue Fracture Stress and the Size and Location of Non-Metallic Inclusions," Int. J. Fatigue, 11(5), pp. 291-298.
10. Nishioka, K., 1957, "On the effect of Inclusion Upon the Fatigue Strength," J. Soc. Mater. Sci. Jpn., 6, pp. 382-385.
11. Jalalahmadi, B., and Sadeghi, F., 2009, "A Voronoi Finite Element Study of Fatigue Life Scatter in Rolling Contacts," ASME J. Tribol., 131, p. 022203.
12. Raje, N., Sadeghi, F., and Rateick, R. G., Jr., 2007, "A Discrete Element Approach to Evaluate Stresses Due to Line Loading on an Elastic Half-Space," Comput. Mech., 40, pp. 513-529. (Pubitemid 46972357)
13. Raje, N., Sadeghi, F., and Rateick, R. G., Jr., 2008, "A Statistical Damage Mechanics Model for Subsurface Initiated Spalling in Rolling Contacts," ASME J. Tribol., 130, p. 042201.
14. Raje, N., Sadeghi, F., Rateick, R. G., Jr., and Hoeprich, M. R., 2008, "A Numerical Model for Life Scatter in Rolling Element Bearings," ASME J. Tribol., 130, p. 011011.
15. Okabe, A., Boots, B., Sugihara, K., and Chiu, S. N., 2000, Spatial Tessellations: Concepts and Applications of Voronoi Diagrams, 2nd ed., Wiley, West Sussex, UK.
16. Callister, W. D., Jr., 2000, Material Science and Engineering: An Introduction, 5th ed., Wiley, New York, pp. 51-52.
17. Mücklich, F., Osher, J., and Schneider, G., 1997, "Die Charakterisierung Homogener Polyedrischer Gefüge mit Hilfe des Räumlichen Poisson-Voronoi-Mosaiks und der Vergleich zur DIN 50 601 (The Characterization of Homogeneous Polyhedral Microstructures Applying the Spatial Poisson-Voronoi Tessellation Compared to the Standard DIN 50 601)," Zeitschrift für Met-alkunde, 88(1), pp. 27-32. (Pubitemid 127579670)
18. Kozaczek, K. J., Petrovic, B. G., Ruud, C. O., Kurtz, S. K., and McIlree, A. R., 1995, "Microstructural Modelling of Grain-Boundary Stresses in Alloy 600," J. Mater. Sci., 30, pp. 2390-2400.
19. Kumar, S., and Kurtz, S. K., 1994, "Simulation of Material Microstructure Using a 3D Voronoi Tessellation: Calculation of Effective Thermal Expansion Coefficient of Polycrystalline Materials," Acta Metall. Mater., 42(12), pp. 3917-3927.
20. Kumar, S., Kurtz, S. K., and Agarwala, V. K., 1996, "Micro-Stress Distribution Within Polycrystalline Aggregate," Acta Mech., 114, pp. 203-216. (Pubitemid 126495480)
21. Nygårds, M., and Gudmundson, P., 2002, "Three-Dimensional Periodic Voronoi Grain Models and Micromechanical FE-Simulations of a Two-Phase Steel," Comput. Mater. Sci., 24, pp. 513-519. (Pubitemid 34623801)
22. Song, X., Zhang, S. Y., Dini, D., and Korsunsky, A. M., 2008, "Finite Element Modelling and Diffraction Measurement of Elastic Strains During Tensile Deformation of HCP Polycrystals," Comput. Mater. Sci., 44(1), pp. 131-137.
23. Dick, T., Basseville, S., and Cailletaud, G., 2008, "Fatigue Modeling in Fretting Contact With a Crystal Plasticity Model," Comput. Mater. Sci., 43(1), pp. 36-42. (Pubitemid 351778345)
24. Korsunsky, A. M., Dini, D., Dunne, F. P. E., and Walsh, M. J., 2007, "Comparative Assessment of Dissipated Energy and Other Fatigue Criteria," Int. J. Fatigue, 29, pp. 1990-1995. (Pubitemid 47284419)
25. Zhang, M., McDowell, D. L., and Neu, R. W., 2009, "Microstructure- Sensitive Modeling: Application to Fretting Contacts," Int. J. Fatigue, 31, pp. 1397-1406.
26. Zhang, M., McDowell, D. L., and Neu, R. W., 2009, "Microstructure Sensitivity of Fretting Fatigue Based on Computational Crystal Plasticity," Tribol. Int., 42, pp. 1286-1296.
27. MathWorks, Inc., 2009, MATLAB 7.8.0.
28. Barber, C. B., Dobkin, D. P., and Huhdanpaa, H. T., 1996, "The Quickhull Algorithm for Convex Hulls," ACM Trans. Math. Softw., 22(4), pp. 469-483. (Pubitemid 126417394)
29. Barbe, F., Decker, L., Jeulin, D., and Cailletaud, G., 2001, "Intergranular and Intragranular Behavior of Polycrystalline Aggregates. Part 1: FE Model," Int. J. Plast., 17, pp. 513-536. (Pubitemid 32272882)
30. Diard, O., Leclercq, S., Rousselier, G., and Cailletaud, G., 2005, "Evaluation of Finite Element Based Analysis of 3D Multicrystalline Aggregates Plasticity Application to Crystal Plasticity Model Identification and the Study of Stress and Strain Fields Near Grain Boundaries," Int. J. Plast., 21, pp. 691-722.
31. Dini, D., Song, X., Zhang, S. Y., and Korsunsky, A. M., 2009, "Residual Strain Analysis in Polycrystalline Aggregates Using Diffraction Measurement and Finite Element Modeling," J. Strain Anal., 44, pp. 55-70.
32. Fritzen, F., Böhlke, T., and Schnack, E., 2009, "Periodic Three-Dimensional Mesh Generation for Crystalline Aggregates Based on Voronoi Tessellations," Comput. Mech., 43, pp. 701-713.
33. Dassault Systèmes, 2009, ABAQUS 6.9 Documentation, Dassault Systèmes Sim-ulia Corp., Providence, RI. http://abaqusdocs.ecn.purdue. edu:2080/v6.9/
34. Johnson, K. L., 1985, Contact Mechanics, Cambridge University, Cambridge, UK, p. 95.
35. Lundberg, G., and Palmgren, A., 1947, ""Dynamic Capacity of Rolling Element Bearings," Acta Polytech. Scand., Mech. Eng. Ser., 1(3), pp. 7-53.
36. Ioannides, E., and Harris, T. A., 1985, "A New Fatigue Life Model for Rolling Bearings," ASME J. Tribol., 107, pp. 367-378. (Pubitemid 15523151)
37. Zhou, R. S., 1993, "Surface Topography and Fatigue Life of Rolling Contact Bearings," Tribol. Trans., 36, pp. 329-340.
38. Lemaitre, J., and Chaboche, J. L., 1990, Mechanics of Solid Materials, Cambridge University, Cambridge, UK.