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Research Papers

On Slip Inception and Static Friction for Smooth Dry Contact

[+] Author and Article Information
Xi Shi

School of Mechanical Engineering,
Shanghai Jiao Tong University,
Shanghai 200240, China
e-mail: xishi@sjtu.edu.cn

1Corresponding author.

Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received July 14, 2014; final manuscript received October 5, 2014; accepted manuscript posted October 10, 2014; published online October 23, 2014. Editor: Yonggang Huang.

J. Appl. Mech 81(12), 121005 (Oct 23, 2014) (7 pages) Paper No: JAM-14-1307; doi: 10.1115/1.4028753 History: Received July 14, 2014; Revised October 05, 2014; Accepted October 10, 2014

Slip inception mechanism is very important for modeling of static friction and understanding of some experimental observations of friction. In this work, slip inception was treated as a local competence of interfacial bonding failure and weaker material failure. At any contacting point, if bond shear strength is weaker than softer material shear strength, slip inception is governed by interfacial bonding failure. Otherwise, it is governed by softer material failure. Considering the possible co-existence of these two slip inception mechanisms during presliding, a hybrid static friction model for smooth dry contact was proposed, which indicates that the static friction consists of two components: one contributed by contact area where bonding failure is dominant and the other contributed by contact area where material failure is dominant. With the proposed static friction model, the effects of contact pressure, the material properties, and the contact geometry on static friction were discussed.

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References

Amonton, G., 1699, “On the Resistance Originating in Machines,” Proc. French R. Acad. Sci., A12, pp. 206–222.
Coulomb, C. A., 1785, “Théorie des Machines Simples, en Ayant égard au Frottement Deleurs Parties, et a la Roideur Dews Cordages,” Mém. Math Phys., 10, pp. 161–331.
Liu, S. B., and Wang, Q., 2002, “Study Contact Stress Fields Caused By Surface Tractions With a Discrete Convolution and Fast Fourier Transform Algorithm,” ASME J. Tribol., 124(1), pp. 36–45. [CrossRef]
Eriten, M., Polycarpou, A. A., and Bergman, L. A., 2010, “Physics-Based Modeling for Partial Slip Behavior of Spherical Contacts,” Int. J. Solids Struct., 47(18–19), pp. 2554–2567. [CrossRef]
Ni, T., and Shi, X., 2010, “Investigation of Inclined Planar Rough Surfaces Contact From Static to Sliding,” ASME J. Tribol., 132(4), p. 041403. [CrossRef]
Bechtel, S. E., Vohra, S., and Jacob, K. I., 2012, “Contrasting the Predictions for Coulomb and Creep-Rate-Dependent Friction in the Modeling of Fiber-Draw Processes,” ASME J. Appl. Mech., 79(6), p. 061001. [CrossRef]
Zhou, Y. T., and Zhong, Z., 2014, “Frictional Indentation of Anisotropic Magneto-Electro-Elastic Materials by a Rigid Indenter,” ASME J. Appl. Mech., 81(7), p. 071001. [CrossRef]
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), p. 021402. [CrossRef]
Munisamy, R. L., and Hills, D. A., 1992, “A Numerical Analysis of an Elastically Dissimilar Three-Dimensional Sliding Contact,” Proc. Inst. Mech. Eng., Part C, 206(3), pp. 203–211. [CrossRef]
Wu, A., Shi, X., and Polycarpou, A. A., 2012, “An Elastic–Plastic Spherical Contact Model Under Combined Normal and Tangential Loading,” ASME J. Appl. Mech., 79(5), p. 051001. [CrossRef]
Paslay, P. R., and Plunkett, R., 1953, “Design of Shrink-Fits,” Trans. ASME, 75, pp. 1199–1202.
Bay, N., and Wanheim, T., 1976, “Real Area of Contact and Friction Stress at High Pressure Sliding Contact,” Wear, 38(2), pp. 201–209 [CrossRef].
Broniec, Z., and Lenkeiwicz, W., 1980, “Static Friction Processes Under Dynamic Loads and Vibration,” Wear, 80(3), pp. 261–271. [CrossRef]
Buckley, D., 1977, “The Metal-to-Metal Interface and Its Effect on Adhesion and Friction,” J. Colloid Interface Sci., 58(1), pp. 36–53. [CrossRef]
Nolle, H., and Richardson, R. S. H., 1974, “Static Friction Coefficients for Mechanical and Structural Joints,” Wear, 28(1), pp. 1–13. [CrossRef]
Yang, J., and Komvopoulos, K., 2005, “A Mechanics Approach to Static Friction of Elastic–Plastic Fractural Surfaces,” ASME J. Tribol., 127(2), pp. 315–324. [CrossRef]
Zolotarevskiy, V., Kligerman, Y., and Etsion, I., 2011, “The Evolution of Static Friction for Elastic–Plastic Spherical Contact in Pre-Sliding,” ASME J. Tribol., 133(3), p. 034502. [CrossRef]
Tabor, D., 1981, “Friction—The Present State of Our Understanding,” ASME J. Tribol., 103(2), pp. 169–179. [CrossRef]
Mulvihill, D. M., Kartal, M. E., Nowell, D., and Hills, D. A., 2011, “An Elastic–Plastic Asperity Interaction Model for Sliding Friction,” Tribol. Int., 44(12), pp. 1679–1694. [CrossRef]
Chang, L., and Zhang, H., 2007, “A Mathematical Model for Frictional Elastic–Plastic Sphere-on-Flat Contacts at Sliding Incipient,” ASME J. Appl. Mech., 74, pp. 100–106. [CrossRef]
Liu, Z., Neville, A., and Reuben, R. L., 2002, “Static Friction Modeling in the Presence of Soft Thin Metallic Films,” ASME J. Tribol., 124(1), pp. 27–35. [CrossRef]
Bowden, F. P., and Young, J. E., 1951, “Friction of Clean Metals and the Influence of Adsorbed Films,” Proc. R. Soc. London, Ser. A, 208(1094), pp. 311–325. [CrossRef]
Chang, L., Zhang, H., and Lococo, J., 2006, “Effects of Boundary Films on the Frictional Behavior of Rough-Surface Contacts in Incipient Sliding,” Proc. Inst. Mech. Eng., Part J, 220(4), pp. 385–394. [CrossRef]
Kim, D. I., Ahn, H. S., and Choi, D. H., 2004, “Effect of Surface Hydrophilicity and Water Vapor Pressure on the Interfacial Shear Strength of Adsorbed Water Layer,” Appl. Phys. Lett., 84(11), pp. 1919–1921. [CrossRef]
Mindlin, R. D., 1949, “Compliance of Elastic Bodies in Contact,” ASME J. Appl. Mech., 16, pp. 259–268.
Etsion, I., 2010, “Revisiting the Cattaneo–Mindlin Concept of Interfacial Slip in Tangentially Loaded Compliant Bodies,” ASME J. Tribol., 132(2), p. 020801. [CrossRef]
Johnson, K. L., 1955, “Surface Interaction Between Elastically Loaded Bodies Under Tangential Forces,” Proc. R. Soc. London, Ser. A, 230(1183), pp. 531–548. [CrossRef]
Hamilton, G. M., 1983, “Explicit Equations for the Stresses Beneath a Sliding Spherical Contact,” Proc. Inst. Mech. Eng., Part C, 197(1), pp. 53–59. [CrossRef]
Shi, X., Wu, A., Zhu, C., and Qu, S., 2013, “Effects of Load Configuration on Partial Slip Contact Between an Elastic–Plastic Sphere and a Rigid Flat,” Tribol. Int., 61, pp. 120–128. [CrossRef]
Wu, A., and Shi, X., 2013, “Numerical Investigation of Adhesive Wear and Static Friction Based on the Ductile Fracture of Junction,” ASME J. Appl. Mech., 80(4), p. 041032. [CrossRef]
Orowan, E., 1943, “The Calculation of Roll Pressure in Hot and Cold Flat Rolling,” Proc. Inst. Mech. Eng., 150(1), pp. 140–167. [CrossRef]
Johnson, K. L., 1997, “Adhesion and Friction Between a Smooth Elastic Spherical Asperity and a Plane Surface,” Proc. R. Soc. London, Ser. A, 453(1956), pp. 163–179. [CrossRef]
Shaw, M. C., Ber, A., and Mamin, P. A., 1960, “Friction Characteristics of Sliding Surfaces Undergoing Subsurface Plastic Flow,” ASME J. Fluids Eng., 82(2), pp. 342–345. [CrossRef]
Chaudhry, V., Simha, K. R. Y., and Kailas, S. V., 2014, “Energy Based Approach for the Evaluation of Damage Under Partial Slip and Gross Sliding Condition,” Wear, 315(1–2), pp. 115–124. [CrossRef]
Tabor, D., 1959, “Junction Growth in Metallic Friction: The Role of Combined Stresses and Surface Contamination,” Proc. R. Soc. London, Ser. A, 251(1266), pp. 378–393. [CrossRef]
Kogut, L., and Etsion, I., 2003, “A Semi-Analytical Solution for the Sliding Inception of a Spherical Contact,” ASME J. Tribol., 125(3), pp. 499–506. [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]
Brizmer, V., Kligerman, Y., and Etsion, I., 2007, “A Model for Junction Growth of a Spherical Contact Under Full Stick Condition,” ASME J. Tribol., 129(4), pp. 783–790. [CrossRef]
Wanheim, T., Bay, N., and Petersen, A. S., 1974, “A Theoretically Determined Model for Friction in Metal Working Processes,” Wear, 28(2), pp. 251–258. [CrossRef]
Ovcharenko, A., Halperin, G., and Etsion, I., 2008, “Experimental Study of Adhesive Static Friction in a Spherical Elastic–Plastic Contact,” ASME J. Tribol., 130(2), p. 021401. [CrossRef]
Faulkner, A., Arnell, R. D., 2000, “The Development of a Finite Element Model to Simulate the Sliding Interaction Between Two Three-Dimensional Elastoplastic Hemispherical Asperities,” Wear, 242(1–2), pp. 114–122. [CrossRef]
Tabor, D., 1951, The Hardness of Metals, Clarendon Press, Oxford, UK.

Figures

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Fig. 1

Localized shear strength versus contact pressure for Coulomb friction [25]

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Fig. 2

Localized shear strength versus contact pressure based on Ref. [10]

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Fig. 3

Localized shear strength versus contact pressure based on Ref. [31]

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Fig. 4

Localized shear strength versus contact pressure based on Ref. [33]

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Fig. 5

Localized shear strength base on von Mises criterion

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Fig. 6

Proposed slip inception model: localized shear strength versus contact pressure

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Fig. 7

Different localized shear strength behaviors at low contact pressure due to various interfacial bonding at static friction condition

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Fig. 8

Diagram of a sphere in contact with a flat

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Fig. 9

Predicted static friction coefficient versus dimensionless mean contact pressure for both spherical and cylindric line contacts

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Fig. 10

Effect of yield strength of soft material on localized shear strength

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Fig. 11

Effect of the ratio k on predicted static friction coefficient for spherical contact

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