0
Research Papers: Contact Mechanics

A Statistical Model for Torsional Friction of Plate-on-Plate Contact

[+] Author and Article Information
Chengchao Niu

School of Mechanic and Electronic Engineering,
China University of Mining and Technology,
Xu Zhou 221116, China
e-mail: niuchengchao66@163.com

Wang Shibo

School of Mechanic and Electronic Engineering,
China University of Mining and Technology,
Xu Zhou 221116, China
e-mail: wangshb@cumt.edu.cn

1Corresponding author.

Contributed by the Tribology Division of ASME for publication in the JOURNAL OF TRIBOLOGY. Manuscript received November 23, 2015; final manuscript received January 18, 2016; published online July 20, 2016. Assoc. Editor: Mircea Teodorescu.

J. Tribol 139(1), 011402 (Jul 20, 2016) (9 pages) Paper No: TRIB-15-1421; doi: 10.1115/1.4033052 History: Received November 23, 2015; Revised January 18, 2016

A statistical model for torsional friction of plate-on-plate contact is constructed. The torsional responses including T–θ curves, proportion of slip asperities, and the radius of gross slip can be obtained from the model. The torsional friction response of monomer cast (MC) nylon against 316L stainless steel was calculated with this model and a torsional friction experiment of MC nylon against 316L stainless steel was performed to verify the model. The calculated T–θ curves exhibit different shapes under different torsional angular displacements. The calculations demonstrated that the torsional regime determined only through T–θ curves was inaccurate. The statistical results of asperities located at the torsional interface more directly reflected the torsional regime. The T–θ curves obtained from theoretical calculation and experiments are consistent in shapes, whereas the torque magnitude from the theoretical calculation is larger than that from experiments. When gross slip is indicated by the maximum torque on the T–θ curves, about 93% of the contact asperities were in a slip status rather than 100% and the gross slip radius in the whole torsional contact interface was about 3 mm.

FIGURES IN THIS ARTICLE
<>
Copyright © 2016 by ASME
Your Session has timed out. Please sign back in to continue.

References

Wang, S. B. , Zhang, S. , and Mao, Y. , 2012, “ Torsional Wear Behavior of MC Nylon Composites Reinforced With GF: Effect of Angular Displacement,” Tribol. Lett., 45(3), pp. 445–453. [CrossRef]
Story, B. A. , 2007, “ Improved Performance of Railway Car/Rail Truck Interface Components,” Ph. D. thesis, Texas A&M University, College Station, TX.
Wang, S. B. , Teng, B. , and Zhang, S. , 2013, “ Torsional Wear Behavior of Monomer Casting Nylon Composites Reinforced With GF: Effect of Content of Glass Fiber,” Tribol. Trans., 56(2), pp. 178–186. [CrossRef]
Wang, S. B. , Cao, B. , and Teng, B. , 2015, “ Torsional Tribological Behavior of Polytetrafluoroethylene Composites Filled With Hexagonal Boron Nitride and Phenyl-Hydroxybenzoate Under Different Angular Displacements,” Ind. Lubr. Tribol., 67(2), pp. 139–149. [CrossRef]
Valtorta, D. , and Mazza, E. , 2005, “ Dynamic Measurement of Soft Tissue Viscoelastic Properties With a Torsional Resonator Device,” Med. Image Anal., 9(5), pp. 481–490. [CrossRef] [PubMed]
Kassir, M. K. , and Chuaprasert, M. F. , 1974, “ A Rigid Punch in Contact With a Nonhomogeneous Elastic Solid,” ASME J. Appl. Mech., 41(4), pp. 1019–1024. [CrossRef]
Jaeger, J. , 1995, “ Axi-Symmetric Bodies of Equal Material in Contact Under Torsion or Shift,” Arch. Appl. Mech., 65(7), pp. 478–487. [CrossRef]
Pak, R. Y. S. , and Abedzadeh, F. , 1996, “ A Torsional Contact Problem for an Indented Half-Space,” ASME J. Appl. Mech., 63(1), pp. 1–6. [CrossRef]
Kim, H. S. , Hong, S. I. , Lee, Y. S. , Dubravinac, A. A. , and Alexandrov, I. V. , 2003, “ Deformation Behavior of Copper During a High Pressure Torsion Process,” J. Mater. Process. Technol., 142(2), pp. 334–337. [CrossRef]
Yoon, S. C. , Horita, Z. , and Kim, H. S. , 2008, “ Finite Element Analysis of Plastic Deformation Behavior During High Pressure Torsion Processing,” J. Mater. Process. Technol., 201(1), pp. 32–36. [CrossRef]
Brzoza, A. , and Pauk, V. , 2008, “ Torsion of Rough Elastic Half-Space by Rigid Punch,” Arch. Appl. Mech., 78(7), pp. 531–542. [CrossRef]
Kartal, M. E. , Hills, D. A. , Nowell, D. , and Barber, J. R. , 2010, “ Torsional Contact Between Elastically Similar Flat-Ended Cylinders,” Int. J. Solids Struct., 47(10), pp. 1375–1380. [CrossRef]
Qiu, H. , Dini, D. , and Hills, D. A. , 2008, “ Torsional Contact of an Elastic Flat-Ended Cylinder,” J. Mech. Phys. Solids, 56(12), pp. 3352–3362. [CrossRef]
Persson, B. N. J. , 2006, “ Contact Mechanics for Randomly Rough Surfaces,” Surf. Sci. Rep., 61(4), pp. 201–227. [CrossRef]
Brizmer, V. , Zait, Y. , Kligerman, Y. , and Etsion, I. , 2006, “ The Effect of Contact Conditions and Material Properties on Elastic-Plastic Spherical Contact,” J. Mech. Mater. Struct., 1(5), pp. 865–879. [CrossRef]
Brizmer, V. , Kligerman, Y. , and Etsion, I. , 2007, “ Elastic–Plastic Spherical Contact Under Combined Normal and Tangential Loading in Full Stick,” Tribol. Lett., 25(1), pp. 61–70. [CrossRef]
Chang, W. R. , Etsion, I. , and Bogy, D. B. , 1988, “ Static Friction Coefficient Model for Metallic Rough Surfaces,” ASME J. Tribol., 110(1), pp. 57–63. [CrossRef]
Xie, Y. , and Williams, J. A. , 1996, “ The Prediction of Friction and Wear When a Soft Surface Slides Against a Harder Rough Surface,” Wear, 196(1), pp. 21–34. [CrossRef]
Lubkin, J. L. , 1951, “ The Torsion of Elastic Spheres in Contact,” ASME J. Appl. Mech., 18(2), pp. 183–187.
Eriten, M. , 2012, “ Multiscale Physics-Based Modeling of Friction,” Ph.D. thesis, University of Illinois at Urbana-Champaign, Champaign, IL.
Cai, Z. B. , Zhu, M. H. , and Zhou, Z. R. , 2010, “ An Experimental Study Torsional Fretting Behaviors of LZ50 Steel,” Tribol. Int., 43(43), pp. 361–369. [CrossRef]
Zhou, Z. R. , Nakazawa, K. , Zhu, M. H. , Maruyama, N. , Kapsa, ph. , and Vincent, L. , 2006, “ Progress in Fretting Maps,” Tribol. Int., 39(10), pp. 1068–1073. [CrossRef]
Pan, L. , 2013, “ Effect of Temperature and Humidity on Torsional Tribological Behavior of Monomer Casting Nylon,” Ph.D. thesis, China University of Mining and Technology, Xuzhou, China.
Lau, T. T. , Kushima, A. , and Yip, S. , 2010, “ Atomistic Simulation of Creep in a Nanocrystal,” Phys. Rev. Lett., 104(17), p. 175501. [CrossRef] [PubMed]
Bowden, F. P. , and Tabor, D. , 1964, The Friction and Lubrication of Solids, Clarendon press, Oxford, UK.
Santner, E. , and Czichos, H. , 1989, “ Tribology of Polymers,” Tribol. Int., 22(2), pp. 103–109. [CrossRef]
Myshkin, N. K. , Petrokovets, M. I. , and Kovalev, A. V. , “ Tribology of Polymers: Adhesion, Friction, Wear, and Mass-Transfer,” Tribol. Int., 38(11), pp. 910–921.

Figures

Grahic Jump Location
Fig. 1

Simplified contact model of rough surfaces

Grahic Jump Location
Fig. 2

Torsional plate-on-plate contact

Grahic Jump Location
Fig. 4

Modeled results of torsion loops versus torsion angle under different radial spacings (a) and the maximum torque under different divisions of contact area (b)

Grahic Jump Location
Fig. 5

Modeled results of torsional fretting loops obtained under torsion angle amplitudes of (a) 0.4 deg, (b) 1 deg, (c) 2 deg, and (d) 4 deg

Grahic Jump Location
Fig. 6

Ratio of slip asperities under angular amplitudes of (a) 0.4 deg, (b) 1 deg, (c) 2 deg, and (d) 4 deg

Grahic Jump Location
Fig. 7

Gross slip radius under angular displacement amplitudes of (a) 0.2 deg, (b) 0.5 deg, (c) 1 deg, and (d) 2 deg

Grahic Jump Location
Fig. 8

Schematic diagram of the structure of plate-on-plate torsional friction tester

Grahic Jump Location
Fig. 9

Experimental and modeled torsion loops from plate-on-plate contact of MC nylon and 316L stainless steel with (a) θmax = 0.5 deg, (b) θmax = 1 deg, and (c) θmax = 2 deg

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In