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RESEARCH PAPERS

Contact Fatigue Analysis of an Elastic-Plastic Layered Medium With a Surface Crack 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(3), 503-512 (Jun 13, 2005) (10 pages) doi:10.1115/1.1866167 History: Received May 09, 2004; Revised December 29, 2004; Online June 13, 2005
Copyright © 2005 by American Institute of Physics
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References

Figures

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Schematic of a rough (fractal) surface sliding over a layered medium with a crack normal to the surface
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Finite element mesh of a layered medium with a surface crack: (a) mesh of entire layered medium and (b) detail of the mesh around the propagated surface crack
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Fractal surface profile generated from Eq. (1) (D=1.44,G=9.46×10−4 nm,γ=1.5,L=4379 nm, and Ls=10 nm) shown at different scales. A rigid plane (dashed line) truncates the surface profile to a certain maximum global interference, producing two neighboring contact regions A and B consisting of segments that contain several asperity contacts
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Contact pressure profiles on a layered medium due to sliding contact with a rough (fractal) surface with different D values and G=9.46×10−4 nm at a distance yP/ci=8: (a) D=1.34, (b) D=1.44, and (c) D=1.54
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Contact pressure profiles on a layered medium due to sliding contact with a rough (fractal) surface with different G values and D=1.44 at a distance yP/ci=8: (a) G=9.46×10−3 nm, (b) G=9.46×10−4 nm, and (c) G=9.46×10−5 nm
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Variation of dimensionless stress intensity factors due to sequential sliding of two different rough (fractal) surface segments with D=1.44 and G=9.46×10−4 nm: (a), (b) KI, and (c), (d) KII
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Crack-growth paths in a layered medium due to sliding of a smooth (cylindrical) surface and a rough (fractal) surface with D=1.44 and G=9.46×10−4 nm
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Variation of dimensionless (a) maximum stress intensity factor range ΔKmax(=max[ΔKσmax,ΔKτmax]) and (b) ΔKσmax/ΔKτmax with crack-growth cycles N for a rough (fractal) surface with D=1.44 and G=9.46×10−4 nm
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(a) Maximum equivalent plastic strain ε̄pmax and (b) increment of maximum equivalent plastic strain Δε̄pmax in the second layer of a layered medium versus crack-growth cycles N and position yP/ci of a rough (fractal) surface with D=1.44 and G=9.46×10−4 nm
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Effect of fractal dimension D on dimensionless stress intensity factor (a) KI and (b) KII versus position yP/ci of rough (fractal) surface with G=9.46×10−4 nm
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Variation of ΔKσmax/ΔKτmax with fractal dimension D for G=9.46×10−4 nm
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Maximum equivalent plastic strain ε̄pmax in the second layer of a layered medium versus position yP/ci of rough (fractal) surface with different values of fractal dimension D and G=9.46×10−4 nm (N=1)
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Effect of fractal roughness G on dimensionless stress intensity factor (a) KI and (b) KII versus position yP/ci of rough (fractal) surface with D=1.44 (N=1)
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Maximum equivalent plastic strain ε̄pmax in the second layer of a layered medium versus position yP/ci of rough (fractal) surface with different values of fractal roughness G and D=1.44 (N=1)

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