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Volumn 57, Issue 5, 1998, Pages 4986-4996

Bifurcations from steady sliding to stick slip in boundary lubrication

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EID: 0000280845     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.57.4986     Document Type: Article
Times cited : (46)

References (34)
  • 1
    • 85036205667 scopus 로고    scopus 로고
    • 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)
    • 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).
  • 2
    • 85036366117 scopus 로고    scopus 로고
    • 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
    • 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.
  • 3
    • 0003624965 scopus 로고
    • CRC, New York, B. Bhushan, CRC Series on Mechanics, Materials Science
    • See, e.g., Handbook of Micro/Nano Tribology, edited by B. Bhushan, CRC Series on Mechanics and Materials Science (CRC, New York, 1995).
    • (1995) Handbook of Micro/Nano Tribology
  • 7
    • 0000728761 scopus 로고
    • S. Granick, Science 253, 1374 (1991).SCIEAS
    • (1991) Science , vol.253 , pp. 1374
    • Granick, S.1
  • 24
    • 0030591295 scopus 로고    scopus 로고
    • A linear stability analysis of model I was also presented in B. Persson, Chem. Phys. Lett. 254, 114 (1996).CHPLBC
    • (1996) Chem. Phys. Lett. , vol.254 , pp. 114
    • Persson, B.1
  • 29
    • 85036152197 scopus 로고    scopus 로고
    • 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
    • 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.
  • 30
    • 85036392541 scopus 로고    scopus 로고
    • 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
    • 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.
  • 34
    • 85036284784 scopus 로고    scopus 로고
    • While a higher order nonlinear analysis of Eqs. (8) is certainly possible, the calculation involves an enormous number of terms
    • While a higher order nonlinear analysis of Eqs. (8) is certainly possible, the calculation involves an enormous number of terms.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.