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1
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85036205667
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A review of recent progress on both fundamental and applied problems involving friction is given in Fundamentals of Friction: Macroscopic and Microscopic Processes, edited by I. L. Singer and H. M. Pollock, Vol. 220 of Nato Advanced Study Institute, Series E: Applied Science (Kluwer, Dordrecht, 1992)
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A review of recent progress on both fundamental and applied problems involving friction is given in Fundamentals of Friction: Macroscopic and Microscopic Processes, edited by I. L. Singer and H. M. Pollock, Vol. 220 of Nato Advanced Study Institute, Series E: Applied Science (Kluwer, Dordrecht, 1992).
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2
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85036366117
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An introduction to friction and control, as well as a summary of several rate and state constitutive relations (referred to as “dynamic friction models”) which have been introduced recently in the context of engineering systems is discussed in H. Olsson, Ph.D. thesis, Department of Automatic Control, Lund Institute of Technology, Lund, Sweden, 1996
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An introduction to friction and control, as well as a summary of several rate and state constitutive relations (referred to as “dynamic friction models”) which have been introduced recently in the context of engineering systems is discussed in H. Olsson, Ph.D. thesis, Department of Automatic Control, Lund Institute of Technology, Lund, Sweden, 1996.
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3
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0003624965
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CRC, New York, B. Bhushan, CRC Series on Mechanics, Materials Science
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See, e.g., Handbook of Micro/Nano Tribology, edited by B. Bhushan, CRC Series on Mechanics and Materials Science (CRC, New York, 1995).
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(1995)
Handbook of Micro/Nano Tribology
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7
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0000728761
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S. Granick, Science 253, 1374 (1991).SCIEAS
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(1991)
Science
, vol.253
, pp. 1374
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Granick, S.1
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9
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36449004335
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G. Reiter, A. L. Demirel, J. Peansky, L. L. Cai, and S. Granick, J. Chem. Phys. 101, 2606 (1994).JCPSA6
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(1994)
J. Chem. Phys.
, vol.101
, pp. 2606
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Reiter, G.1
Demirel, A.L.2
Peansky, J.3
Cai, L.L.4
Granick, S.5
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19
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0021218425
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J.-C. Gu, J. R. Rice, A. L. Ruina, and S. T. Tse, J. Mech. Phys. Solids 32, 167 (1984).JMPSA8
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(1984)
J. Mech. Phys. Solids
, vol.32
, pp. 167
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Gu, J.-C.1
Rice, J.R.2
Ruina, A.L.3
Tse, S.T.4
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24
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0030591295
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A linear stability analysis of model I was also presented in B. Persson, Chem. Phys. Lett. 254, 114 (1996).CHPLBC
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(1996)
Chem. Phys. Lett.
, vol.254
, pp. 114
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Persson, B.1
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28
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0000969989
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T. Baumberger, C. Caroli, B. Perrin, and O. Rosnin, Phys. Rev. E 51, 4005 (1995).PLEEE8
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(1995)
Phys. Rev. E
, vol.51
, pp. 4005
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Baumberger, T.1
Caroli, C.2
Perrin, B.3
Rosnin, O.4
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29
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85036152197
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Experiments on molecularly thin melted films at high constant shear rates reveal shear-thinning, which modifies the simple linear dependence of the friction on the shear rate which is characteristic of Newtonian fluids. Typically the viscosity scales as [Formula Presented] so that overall the friction increases as [Formula Presented] at high shear rates. We ignore that feature and assume a constant viscosity
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Experiments on molecularly thin melted films at high constant shear rates reveal shear-thinning, which modifies the simple linear dependence of the friction on the shear rate which is characteristic of Newtonian fluids. Typically the viscosity scales as V-2/3, so that overall the friction increases as V1/3 at high shear rates. We ignore that feature and assume a constant viscosity.
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30
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85036392541
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The viscosity of extremely confined fluids is approximately six orders of magnitude higher than that of a fluid in the bulk [C. Drummond (private communication)]. For a lubricant such as OMCTS the viscosity when confined is [Formula Presented] Our estimate of [Formula Presented] is obtained from this assuming a contact of diameter of approximately 10 μm and a distance between the mica sheets of around 1 nm
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The viscosity of extremely confined fluids is approximately six orders of magnitude higher than that of a fluid in the bulk [C. Drummond (private communication)]. For a lubricant such as OMCTS the viscosity when confined is η≈6×105 Pa s. Our estimate of β=ηA/h is obtained from this assuming a contact of diameter of approximately 10 μm and a distance between the mica sheets of around 1 nm.
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31
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0003478288
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Springer-Verlag, New York
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J. Guckenheimer and P. Holmes, Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (Springer-Verlag, New York, 1983), Chap. 3.
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(1983)
Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
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Guckenheimer, J.1
Holmes, P.2
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32
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0003474751
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Cambridge University Press, New York
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W. Press, S. Teukolsky, W. Vetterling, and B. Flannery, Numerical Recipes in C, 2nd ed. (Cambridge University Press, New York, 1995).
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(1995)
Numerical Recipes in C, 2nd ed.
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Press, W.1
Teukolsky, S.2
Vetterling, W.3
Flannery, B.4
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34
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85036284784
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While a higher order nonlinear analysis of Eqs. (8) is certainly possible, the calculation involves an enormous number of terms
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While a higher order nonlinear analysis of Eqs. (8) is certainly possible, the calculation involves an enormous number of terms.
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