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Coatings & Solid Lubricants

Three-Dimensional Local Yield Maps of Hard Coating Under Sliding Contact

[+] Author and Article Information
P. Y. Zhang

Key Laboratory of Education Ministry for Modern Design and Rotor-Bearing System,  School of Mechanical Engineering, Xi’an Jiaotong University, Xi’an 710049, P. R. C.

D. F. Diao1

Key Laboratory of Education Ministry for Modern Design and Rotor-Bearing System,  School of Mechanical Engineering, Xi’an Jiaotong University, Xi’an 710049, P. R. C.dfdiao@mail.xjtu.edu.cn

Z. J. Wang

 State Key Laboratory of Mechanical Transmission, Chongqing University, Chongqing 400030, P. R. C.

1

Corresponding author.

J. Tribol 134(2), 021301 (Mar 06, 2012) (8 pages) doi:10.1115/1.4005265 History: Received June 18, 2011; Revised September 28, 2011; Accepted October 05, 2011; Published March 06, 2012; Online March 06, 2012

The local yield maps for the identification of the yield initiation positions of hard coating on three-dimensional (3D) elastic half space under sliding contact were developed. In this study, the semi-analytical method (SAM), which is based on the conjugate gradient method (CGM) and the discrete convolution and fast Fourier transform (DC-FFT) technique, was employed to analyze the contact problem. By using this method, the von Mises stress distributions for various combinations of coating thicknesses, friction coefficients, and elastic moduli of the coating and substrate were calculated. Then, the positions of yield initiation were found with the calculated results by comparing the critical maximum contact pressure Pmax,c for von Mises yielding at or in the different positions (surface, coating, interface, and substrate), and the 3D-local yield maps were introduced in relation to the yield strength ratio of the coating to the substrate (Yf /Yb ) and the ratio of the coating thickness to the Hertzian contact radius (t/a0 ). Finally, the effect of critical friction coefficient on the transition of yielding positions was discussed.

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Copyright © 2012 by American Society of Mechanical Engineers
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Figures

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Figure 1

The model of a rigid ball and a layered substrate in sliding contact

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Figure 2

Contour plots of the von Mises stress J2/P0 in the y = 0 plane for Ef /Eb  = 1; (a) μ = 0.00, (b) μ = 0.25, (c) μ = 0.50, (d) μ = 0.70

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Figure 3

Contour plots of the von Mises stress J2/P0 in the y = 0 plane for Ef /Eb  = 2 and μ = 0.00; (a) t = 0.125a0 , (b) t = 0.5a0 , (c) t = a0 , (d) t = 2a0

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Figure 4

Contour plots of the von Mises stress J2/P0 in the y = 0 plane for Ef /Eb  = 2 and μ = 0.25; (a) t = 0.125a0 , (b) t = 0.5a0 , (c) t = a0 , (d) t = 2a0

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Figure 5

Contour plots of the von Mises stress J2/P0 in the y = 0 plane for Ef /Eb  = 2 and μ = 0.50; (a) t = 0.125a0 , (b) t = 0.5a0 , (c) t = a0 , (d) t = 2a0

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Figure 6

Contour plots of the von Mises stress J2/P0 in the y = 0 plane for Ef /Eb  = 2 and μ = 0.70; (a) t = 0.125a0 , (b) t = 0.5a0 , (c) t = a0 , (d) t = 2a0

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Figure 7

Relationship between σvm,max /P0 and t/a0 for Ef /Eb  = 2; (a) μ = 0.00, (b) μ = 0.25, (c) μ = 0.50, (d) μ = 0.70

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Figure 8

3D-local yield maps of hard coating for low friction coefficients under sliding contact, (a) μ = 0.00 and (b) μ = 0.25

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Figure 9

3D-local yield maps of hard coating for high friction coefficients under sliding contact, (a) μ = 0.50 and (b) μ = 0.70

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Figure 10

Critical maximum contact pressure Pmax,c for the yield, (a) at the interface and (b) at the surface

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Figure 11

Relationship between Pmax,c /Hb and μ, (a) Yf /Yb  = 1.125 and (b) Yf /Yb  = 2

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