Abstract
Using the method of reduction of dimensionality, we calculate the microslip motion of a tangentially loaded frictional contact between an elastic sphere and a rigid base. An oscillating rotation of the sphere with a small amplitude leads to a creep motion of the rigid base. Depending on the amplitude and the tangential force, two possible scenarios may occur. For oscillation amplitudes smaller than a critical value, the rigid body shakes down in the sense that the frictional slip ceases after a limited number of rotation cycles. Otherwise, the rigid base starts to slip with a constant mean velocity, which depends on the static displacement and the rotational amplitude.
Similar content being viewed by others
References
C.T. McCarthy, M.A. McCarthy, W.F. Stanley and V.P. Lawlor, Experiences with modeling friction in composite bolted joints, J. Composite Mater., 39 (2005) 1881.
K. Chung and K.H. Ip, Finite element modeling of bolted connections between cold-formed steel strips and hot rolled steel plates under static shear loading, Eng. Struct., 22 (2000) 1271.
S.S. Law, Z.M. Wu, and S.L. Chan, Analytical model of a slotted bolted connection element and its behavior under dynamic load, J. Sound Vibration, 292 (2006) 777.
J.D. Booker, C.E. Truman, S. Wittig, and Z. Mohammed, A Comparison of Shrink-Fit Holding Torque Using Probabilistic, Micromechanical and Experimental Approaches, in Proc. Inst. Mech. Engineers, Part B: J. Eng. Manufacture, 218 (2004) 175.
B. Li, S.N. Melkote, and S.Y. Liang, Analysis of reactions and minimum clamping force for machining fixtures with large contact areas, Int. J. Adv. Manuf. Technol., 16 (2000) 79.
M.Z. Huq and J. Celis, Fretting fatigue in alumina tested under oscillating normal load, J. Amer. Ceramic Soc, 85 (2002) 986.
D. Nowell, D. Dini, and D. Hills, Recent developments in the understanding of fretting fatigue, Eng. Fract. Mech., 73 (2006) 207.
C.J. Hartwigsen, Y. Song, D.M. McFarland, L.A. Bergman, and A.F. Vakakis, Experimental study of n non-linear effects in a typical shear lap joint configuration, J. Sound Vibration, 277 (2004) 327.
A. Klarbring, M. Ciavarella, and J.R. Barber, Shakedown in elastic contact problems with Coulomb friction, Int. J. Solids Struct., 44 (2007) 8355.
J.R. Barber, A. Klarbring, and M. Ciavarella, Shakedown in frictional contact problems for the continuum, Comptes Rendus Mécanique, 336 (2008) 34.
V.L. Popov and S.G. Psakhie, Numerical simulation methods in tri-bology, Tribol. Int., 40 (2007) 916.
V.L. Popov, Contact Mechanics and Friction. Physical Principles and Applications, Springer, Berlin, 2010.
T. Geike and V.L. Popov, Mapping of three-dimensional contact problems into one dimension, Phys. Rev. E, 76 (2007) 036710.
V.L. Popov, Basic ideas and applications of the method of reduction of dimensionality in contact mechanics, Phys. Mesomech., 15, No. 5–6 (2012) 254.
M. Heß, Über die Abbildung ausgewählter dreidimensionaler Kontakte auf Systeme mitniedrigerer räumlicher Dimension, Cuvillier-Verlag, Göttingen, 2011.
V.L. Popov and A.E. Filippoy, Force of friction between fractal rough surface and elastomer, Tech. Phys. Lett., 36, No. 9 (2010) 525.
V.L. Popov and A. Dimaki, Using hierarchical memory to calculate friction force between fractal rough solid surface and elastomer with arbitrary linear rheological properties, Tech. Phys. Lett., 37, (2011) 8.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Text © R. Wetter, 2012, published in Fiz. Mezomekh., 2012, Vol. 15, No. 4, pp. 51–57.
Rights and permissions
About this article
Cite this article
Wetter, R. Shakedown and induced microslip of an oscillating frictional contact. Phys Mesomech 15, 293–299 (2012). https://doi.org/10.1134/S1029959912030083
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1029959912030083