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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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References

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Figures

Grahic Jump Location
Schematic representation of a rough (fractal) surface sliding over an elastic semi-infinite solid and pertinent nomenclature
Grahic Jump Location
Triangular distributions of (a) normal and tangential tractions and (b) heat source
Grahic Jump Location
(a) Surface stress and (b) subsurface stresses along x=0 for a moving line heat source located at x=0
Grahic Jump Location
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)
Grahic Jump Location
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
Grahic Jump Location
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.
Grahic Jump Location
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
Grahic Jump Location
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)
Grahic Jump Location
(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)
Grahic Jump Location
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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