A fast correction for elastic quarter-space applied to 3D modeling of edge contact problems

Journal of Tribology

Volumn 133, Issue 3, 2011, Pages

  Guilbault, Raynald ^a  

^a ÉCOLE DE TECHNOLOGIE SUPÉRIEURE   (Canada)

Author keywords

Boussinesq Cerruti solution; contact model; free surface; normal load sharp edge contact; quarter plane; quarter space

Indexed keywords

BOUSSINESQ-CERRUTI SOLUTION; CONTACT MODEL; FREE SURFACES; NORMAL LOADS; QUARTER-PLANE; QUARTER-SPACE;

CRYSTALLOGRAPHY; FINITE ELEMENT METHOD; NUMERICAL METHODS; SURFACES;

THREE DIMENSIONAL;

EID: 79961174070     PISSN: 07424787     EISSN: 15288897     Source Type: Journal    
DOI: 10.1115/1.4003766     Document Type: Article

References (22)

1. Poon, C. Y., and Sayles, R. S., 1994, "Numerical Contact Model of a Smooth Ball on an Anisotropic Rough Surface," ASME J. Tribol., 116(2), pp. 194-201.
2. Tian, X., and Bushan, B., 1996, "A Numerical Three-Dimensional Model for the Contact of Rough Surfaces by Variational Principle," ASME J. Tribol., 118(1), pp. 33-42. (Pubitemid 126551546)
3. Wilner, K., 2008, "Fully Coupled Frictional Contact Using Elastic Halfspace," ASME J. Tribol., 130(3), p. 031405.
4. Chen, W. W., and Wang, Q. J., 2009, "A Numerical Static Friction Model for Spherical Contacts of Rough Surfaces, Influence of Load, Material and Roughness," ASME J. Tribol., 131(2), pp. 1-8.
5. Liu, S., and Hua, D. Y., 2009, "Three-Dimensional Semiperiodic Line Contact-Periodic in Contact Length Direction," ASME J. Tribol., 131(2), p. 021408.
6. Johnson, K. L., 1985, Contact Mechanics, Cambridge University Press, Cambridge, UK, Chap. 5.
7. Ahmadi, N., Keer, L. M., and Mura, T., 1983, "Non-Hertzian Contact Stress Analysis for an Elastic Half Space-Normal and Sliding Contact," Int. J. Solids Struct., 19(4), pp. 357-373. (Pubitemid 13502340)
8. Yang, J., and Komvopoulos, K., 2005, "Impact of a Rigid Sphere on an Elastic Homogeneous Half-Space," ASME J. Tribol., 127(2), pp. 325-330. (Pubitemid 40664763)
9. Bachtar, F., Chen, X., and Hisada, T., 2006, "Finite Element Contact Analysis of the Hip Joint," Med. Biol. Eng. Comput., 44(8), pp. 643-651. (Pubitemid 44203435)
10. Sahoo, P., and Ghosh, N., 2007, "Finite Element Contact Analysis of Fractal Surfaces," J. Phys. D: Appl. Phys., 40(14), pp. 4245-4252. (Pubitemid 47134563)
11. Wang, Z.-J., Wang, W.-Z., Wang, H., Zhu, D., and Hu, Y.-Z., 2010, "Partial Slip Contact Analysis Three-Dimensional Elastic Layered Half Space," ASME J. Tribol., 132(2), p. 021403.
12. Wang, F., and Keer, L. M., 2005, "Numerical Simulation for Three Dimensional Elastic-Plastic Contact With Hardening Behavior," ASME J. Tribol., 127(3), pp. 494-502. (Pubitemid 40990353)
13. Hetényi, M., 1960, "A Method of Solution for the Elastic Quarter-Plane," ASME J. Appl. Mech., 82(2), pp. 289-296.
14. Hetényi, M., 1970, "A General Solution for the Elastic Quarter Space," ASME J. Appl. Mech., 37(1), pp. 70-76.
15. Keer, L. M., Lee, J. C., and Mura, T., 1983, "Hetényi's Elastic Quarter Space Problem Revisited," Int. J. Solids Struct., 19(6), pp. 497-508. (Pubitemid 13557513)
16. Hartnett, M. J., 1980, "A General Numerical Solution for Elastic Body Contact Problems," Solid Contact and Lubrication, H. S. Cheng and L. M. Keer, eds., ASME, New York, Vol. 39, pp. 51-66. (Pubitemid 11486380)
17. Li, J., and Berger, E. J., 2001, "A Boussinesq-Cerruti Solution Set for Constant and Linear Distribution of Normal and Tangential Load Over a Triangular Area," J. Elast., 63(2), pp. 137-151. (Pubitemid 34198315)
18. Li, J., and Berger, E. J., 2003, "A Semi-Analytical Approach to Three-Dimensional Normal Contact Problems With Friction," Comput. Mech., 30(4), pp. 310-322.
19. Love, A. E. H., 1929, "The Stress Produced in a Semi-Infinite Solid by Pressure on Part of the Boundary," Philos. Trans. R. Soc. London, Ser. A, 228, pp. 377-420.
20. de Mul, J. M., Kalker, J. J., and Fredriksson, B., 1986, "The Contact Between Arbitrarily Curved Bodies of Finite Dimensions," ASME J. Tribol., 108(1), pp. 140-148. (Pubitemid 16474703)
21. Guilbault, R., Gosselin, C., and Cloutier, L., 2005, "Express Model for Load Sharing and Stress Analysis in Helical Gears," ASME J. Mech. Des., 127(6), pp. 1161-1172. (Pubitemid 41709574)
22. Guilbault, R., 2010, "A Fast Correction for Traction-Free Surface of Elastic Quarter-Space," Third International Conference on Tribology and Design, M. Hadfield, J. Seabra, and C. A. Brebia, eds., WIT Press, Southampton, UK, pp. 37-48.