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RESEARCH PAPERS

Surface Cracking in Elastic-Plastic Multi-Layered Media Due to Repeated Sliding Contact

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

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

J. Tribol 126(4), 655-663 (Nov 09, 2004) (9 pages) doi:10.1115/1.1757491 History: Received July 01, 2003; Revised December 09, 2003; Online November 09, 2004
Copyright © 2004 by ASME
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Figures

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Schematic illustration of a cylindrical rigid asperity sliding over a layered medium with a crack perpendicular to the free surface
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(a) Finite element discretization of a multi-layered medium with a surface crack, and (b) refined mesh in the vicinity of the propagating surface crack
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Dimensionless tensile and shear stress intensity factors, KI and KII, respectively, versus dimensionless asperity position, yP/a, and dimensionless crack length, ci/h1, for μ=μc=0.5
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Dimensionless tensile and shear stress intensity factors, KI and KII, respectively, versus dimensionless asperity position, yP/a, and friction coefficient at the asperity/multi-layered medium contact region, μ, for ci/h1=0.125 and μc=0
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Dimensionless tensile and shear stress intensity factors, KI and KII, respectively, versus dimensionless asperity position, yP/a, and crack-face friction coefficient, μc, for ci/h1=0.125 and μ=0.5
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Dimensionless crack length, c/h1, versus dimensionless number of estimated fatigue crack growth cycles, N*, for pyrolytic carbon-coated graphite, ci/h1=0.25,Δc=h1/8, and μ=μc=0.5
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Contours of von Mises equivalent stress, σM, in the vicinity of the crack tip obtained in the first crack growth cycle for ci/h1=0.25,Δc=h1/8,μ=μc=0.5, and dimensionless asperity position (a) yP/a=1.26 and (b) yP/a=5.88
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Contours of von Mises equivalent stress, σM, in the vicinity of the crack tip obtained in the eighth crack growth cycle for ci/h1=0.25,Δc=h1/8,μ=μc=0.5, and dimensionless asperity position (a) yP/a=1.26 and (b) yP/a=2.52
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Contours of equivalent plastic strain, ε̄p, in the elastic-plastic second layer obtained in the eighth crack growth cycle for ci/h1=0.25,Δc=h1/8,μ=μc=0.5, and dimensionless asperity position (a) yP/a=1.26 and (b) yP/a=2.52
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(a) Maximum equivalent plastic strain, ε̄pmax, in the elastic-plastic second layer versus dimensionless asperity position, yP/a, for different simulated crack growth cycles, and (b) increment of maximum equivalent plastic strain, Δε̄pmax, in the elastic-plastic second layer versus number of simulated crack growth cycles, n. (The results shown in (a) and (b) are for ci/h1=0.25,Δc=h1/8, and μ=μc=0.5.)
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Maximum equivalent plastic strain, ε̄pmax, in the elastic-plastic second layer versus dimensionless asperity position, yP/a: (a) ci/h1=0.125, 0.25, 0.5, and 0.875 and μ=μc=0.5, and (b) ci/h1=0.125, μ=0.1, 0.25, and 0.5, and μc=0 and 0.5
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Simulated crack paths for crack growth increment Δc=h1/4,h1/8, and h1/16,ci/h1=0.25, and μ=μc=0.5
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Dimensionless tensile and shear stress intensity factors, KI and KII, respectively, versus crack growth cycle and dimensionless asperity position, yP/a, for ci/h1=0.25,Δc=h1/8, and μ=μc=0.5
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Crack deviation angle in the first crack growth increment, θ1, versus normalized initial crack length, ci/h1, for μ=μc=0.5
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Dimensionless tensile and shear stress intensity factor ranges ΔKσ and ΔKτ, respectively, versus angle measured from the original crack plane, θ, for μ=μc=0.5: (a) ci/h1=0.125 and 0.25, and (b) ci/h1=0.5 and 0.875

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