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Article

Thermomechanical Analysis of Semi-infinite Solid in Sliding Contact With a Fractal Surface

[+] Author and Article Information
Z.-Q. Gong, K. Komvopoulos

Department of Mechanical Engineering, University of California, Berkeley, CA 94720

J. Tribol 127(2), 331-342 (Apr 07, 2005) (12 pages) doi:10.1115/1.1792691 History: Received January 14, 2004; Revised April 23, 2004; Online April 07, 2005
Copyright © 2005 by ASME
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Figures

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Schematic representation of a rough (fractal) surface sliding over an elastic semi-infinite solid and pertinent nomenclature
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Triangular distributions of (a) normal and tangential tractions and (b) heat source
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(a) Surface stress and (b) subsurface stresses along x=0 for a moving line heat source located at x=0
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Dimensionless (a) surface normal displacement, z/ri, and (b) contact pressure, p/poi, distribution due to different loadings for an elastic semi-infinite solid in contact with a rigid asperity (δmax/R=0.0075 and Pe=0.05)
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Dimensionless temperature rise, ΔT/(2Qaκ/πkV), at the surface of an elastic semi-infinite solid due to sliding contact with a rigid asperity versus Peclet number (μ=0.5 and δmax/R=0.0075)
Grahic Jump Location
Contours of dimensionless temperature rise, ΔT/(2Qaκ/πkV), in the subsurface of an elastic semi-infinite solid due to sliding contact with a rigid asperity (μ=0.5 and δmax/R=0.0075): (a) Pe=0.05 and (b) Pe=5
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Dimensionless stress, σxx/p0, at the surface of an elastic semi-infinite solid due to sliding contact with a rigid asperity (μ=0.5 and δmax/R=0.0075). Solid and discontinuous curves represent elastic and thermoelastic (Pe=49) results, respectively.
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Contours of dimensionless von Mises equivalent stress, σM/p0, in the subsurface of an elastic semi-infinite solid due to sliding contact with a rigid asperity (μ=0.5 and δmax/R=0.0075): (a) Pe=0 and (b) Pe=49
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Dimensionless maximum tensile stress, σxxmax/p0, and maximum von Mises equivalent stress, σMmax/p0, at the surface of an elastic semi-infinite solid in sliding contact with a rigid asperity versus Peclet number (μ=0.5 and δmax/R=0.0075)
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(a) Deformed surface and (b) portion of interfacial region of an elastic semi-infinite solid subjected to different loadings by a rigid rough (fractal) surface (D=1.44,G=9.46×10−4 nm,μ=0.5,δmax=1.5 nm, and Pe=0.06)
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Contact pressure profiles on an elastic semi-infinite solid in normal contact with a rigid rough (fractal) surface (D=1.44,G=9.46×10−4 nm,μ=0.5, and δmax=1.5 nm). Solid and discontinuous curves represent thermoelastic (Pe=54) and elastic results, respectively.
Grahic Jump Location
Dimensionless temperature rise, ΔT/(2Qaκ/πkV), at the surface of an elastic semi-infinite solid in sliding contact with a rigid rough (fractal) surface (D=1.44,G=9.46×10−4 nm,μ=0.5, and δmax=1.5 nm): (a) Pe=0.06 and (b) Pe=6
Grahic Jump Location
Contours of dimensionless temperature rise, ΔT/(2Qaκ/πkV), in the subsurface of an elastic semi-infinite solid in sliding contact with a rigid rough (fractal) surface (D=1.44,G=9.46×10−4 nm,μ=0.5, and δmax=1.5 nm): (a) Pe=0.06 and (b) Pe=6
Grahic Jump Location
Dimensionless maximum temperature rise, ΔTmax/(2Qaκ/πkV), at the surface of an elastic semi-infinite solid in sliding contact with a rigid rough (fractal) surface versus Peclet number and fractal dimension (G=9.46×10−4 nm,μ=0.5, and δmax=1.5 nm)
Grahic Jump Location
Stress, σxx, at the surface of an elastic semi-infinite solid in sliding contact with a rigid rough (fractal) surface (D=1.44,G=9.46×10−4 nm,μ=0.5, and δmax=1.5 nm). Solid and discontinuous curves represent thermoelastic (Pe=54) and elastic results, respectively
Grahic Jump Location
Contours of von Mises equivalent stress, σM, in the subsurface of an elastic semi-infinite solid in sliding contact with a rigid rough (fractal) surface (D=1.44,G=9.46×10−4 nm,μ=0.5, and δmax=1.5 nm): (a) Pe=0 and (b) Pe=54
Grahic Jump Location
Maximum tensile surface stress, σxxmax, and maximum subsurface von Mises equivalent stress, σMmax, for an elastic semi-infinite solid in sliding contact with a rigid rough (fractal) surface versus Peclet number (D=1.44,G=9.46×10−4 nm,μ=0.5, and δmax=1.5 nm)

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