388
Views
7
CrossRef citations to date
0
Altmetric
Original Articles

A Complementarity Problem–Based Solution Procedure for 2D Steady-State Rolling Contacts with Dry Friction

, , , &
Pages 1031-1038 | Received 29 May 2015, Accepted 09 Dec 2015, Published online: 06 Jul 2016

References

  • Carter, F. W. (1926), “On the Action of a Locomotive Driving Wheel,” Proceedings of the Royal Society of London, 112, pp 151–157.
  • Bentall, R. H., and Johnson, K. L. (1967), “Slip in the Rolling Contact of Two Dissimilar Elastic Rollers,” International Journal of Mechanical Sciences, 9, pp 389–404.
  • Guler, M. A., Adibnazari, S., and Alinia, Y. (2012), “Tractive Rolling Contact Mechanics of Graded Coatings,” International Journal of Solids and Structures, 49, pp 929–945.
  • Kalker, J. J. (1971), “A Minimum Principle for the Law of Dry Friction, with Application of Elastic Cylinders in Rolling Contact, Part 1: Fundamentals—Application to Steady Rolling,” Journal of Applied Mechanics, 38(4), pp 875–880.
  • Wang, Z. J., Jin, X. Q., Leon, M. K., and Wang, Q. (2012), “A Numerical Approach for Analyzing Three-Dimensional Steady-State Rolling Contact including Creep Using a Fast Semi-Analytical Method,” Tribology Transactions, 55, pp 446–457.
  • Dahlberg, J. and Alfredsson, B. (2009), “Transient Rolling of Cylindrical Contacts with Constant and Linearly Increasing Applied Slip,” Wear, 266, pp 316–326.
  • Zhao, X. and Li, Z. (2011), “The Solution of Frictional Wheel–Rail Rolling Contact with a 3D Transient Finite Element Model: Validation and Error Analysis,” Wear, 271(1), pp 444–452.
  • Zhao, X. and Li, Z. (2014), “A Three-Dimensional Finite Element Solution of Frictional Wheel–Rail Rolling Contact in Elasto-Plasticity,” Proceedings of the Institution of Mechanical Engineers - Part J: Journal of Engineering Tribology, 229(1), pp. 86–100.
  • Addiyz, K., Antesz, H., and Stavroulakisz, G. E. (2004), “On Solving a Rolling Frictional Contact Problem Using BEM and Mathematical Programming,” International Journal of Applied Mathematical Sciences, 1, pp 73–95.
  • Gonzalez, J. A., and Abascal, R. (2000), “Solving 2D Rolling Problems Using the NORM-TANG Iteration and Mathematical Programming,” Computers & Structures, 78, pp 149–160.
  • Cottle, R. W., Pang, J. S., and Stone, R. E. (2009), The Linear Complementarity Problem, SIAM: Philadelphia.
  • Hu, Y. Z., Barber, G. C., and Zhu, D. (1999), “Numerical Analysis for the Elastic Contact of Real Rough Surfaces,” Tribology Transactions, 42(3), pp 443–452.
  • Wang, Z. J., Wang, W. Z., Hu, Y. Z., and Wang, H. (2010), “A Numerical Elastic–Plastic Contact Model for Rough Surfaces,” Tribology Transactions, 53(2), pp 224–238.
  • Popescu, G., Morales-Espejel, G. E., Wemekamp, B., and Gabelli, A. (2006), “An Engineering Model for Three-Dimensional Elastic–Plastic Rolling Contact Analyses,” Tribology Transactions, 49(3), pp 387–399.
  • Kwak, B. M. and Lee, S. S. (1988), “A Complementarity Problem Formulation for Two Dimensional Frictional Contact Problems,” Computers & Structures, 28(4), pp 469–480.
  • Kwak, B. M., Lee, S. S., and Kwon, O. K. (1994), “Analysis of Incipient Sliding Contact by Three Dimensional Linear Complementarity Problem Formulation,” Computers & Structures, 53(3), pp 695–708.
  • Kwak, B. M. (1991), “Complementarity Problem Formulation of Three-Dimensional Frictional Contact,” Journal of Applied Mechanics, 58, pp 134–140.
  • Kaven, J. O., Hickman, S. H., Davatzes, N. C., and Mutlu, O. (2012), “Linear Complementarity Formulation for 3D Frictional Sliding Problems,” Computational Geosciences, 16, pp 613–624.
  • Tasora, A. and Anitescu, M. (2013), “A Complementarity-Based Rolling Friction Model for Rigid Contacts,” Meccanica, 48, pp 1643–1659.
  • Johnson, K. L. (1987), Contact Mechanics, Cambridge University Press: Cambridge, UK.
  • Chen, W. W., and Wang, Q. J. (2008), “A Numerical Model for the Point Contact of Dissimilar Materials Considering Tangential Tractions,” Mechanics of Materials, 40(11), pp 936–948.
  • Pfeiffer, F. (2008), Lecture Notes in Applied and Computational Mechanics: Vol. 40. Mechanical System Dynamics, Springer-Verlag: Berlin.
  • Almqvist, A., Spencer, A., and Wall, P. (2013), “A Pivoting Algorithm Solving Linear Complementarity Problems.” Available at: http://www.mathworks.com/matlabcentral/fileexchange/41485-a-pivoting-algorithm-solving-linear-complementarity-problems [1 May 2015].
  • Vollebregt, E. A. H. (2014), User Guide For CONTACT, Vollebregt & Kalker's Rolling And Sliding Contact Model, Version 14.1, VORtech BV: Delft, The Netherlands. Technical Report TR09-03.
  • Chevalier, L., Cloupet, S., and Quillien, M. (2006), “Friction and Wear during Twin-Disc Experiments under Ambient and Cryogenic Conditions,” Tribology International, 39, pp 1376–1387.
  • Pauk, V. and Zastrau, B. (2003), “Rolling Contact Problem Involving Surface Roughness,” Mechanics Research Communications, 30(1), pp 45–51.
  • Kubin, W. K., Pletz, M., Daves, W., and Scheriau, S. (2013), “A New Roughness Parameter to Evaluate the Near-Surface Deformation in Dry Rolling/Sliding Contact,” Tribology International, 67, pp 132–139.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.