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Research Papers: Contact Mechanics

Fretting Contact Analysis on Three-Dimensional Elastic Layered Half Space

[+] Author and Article Information
Zhan-jiang Wang1

State Key Laboratory of Mechanical Transmission,  Chongqing University, Chongqing 400030, P. R. Chinawangzj@cqu.edu.cn

Wen-zhong Wang, Fan-ming Meng, Jia-xu Wang

School of Mechanical Vehicular Engineering, Beijing Institute of Technology, Beijing 100081, P. R. ChinaState Key Laboratory of Mechanical Transmission,  Chongqing University, Chongqing 400030, P. R. China

1

Corresponding author.

J. Tribol 133(3), 031401 (Jun 21, 2011) (8 pages) doi:10.1115/1.4004104 History: Received October 15, 2010; Revised April 18, 2011; Published June 21, 2011; Online June 21, 2011

A numerical approach for solving the fretting contact on coated or layered materials, with consideration of loading history, is presented in the paper. The fretting problem was solved by using a semi-analytical method (SAM), in which analytical relations between a unit stress and corresponding displacements or stresses were obtained through the use of the Papkovich–Neuber potentials. Conjugate gradient method (CGM) and fast Fourier transform (FFT) technique were employed to increase the solution speed. The algorithm was very effective since the meshes applied to the positions were just in the contact areas of interest, which saves the computing time. The fretting contact of coated materials was studied and the effects of stick-slip behaviors were analyzed. Results show that the coupled effects between the shear tractions and the pressure make the contact behaviors quite different with the solutions from same materials. The solutions depend on the path or history of the loading process when the ball is under dynamic loads, and the contact behaviors rely on the degree of dissimilarity of material properties.

Copyright © 2011 by American Society of Mechanical Engineers
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Figures

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Figure 1

Fretting contact model on coated half space

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Figure 2

Tangential load path

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Figure 3

Comparisons of obtained numerical solutions and the analytical solutions; (a) dimensionless shear traction qx /ph distributions along the x-direction; (b) tangential load–displacement curve

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Figure 4

Dimensionless shear traction qx /ph distributions along the x-direction with different coatings at a fixed coating thickness h = a; (a) E1  = 0.5E2 ; (b) E1  = 2E2

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Figure 5

Dimensionless shear traction qy /ph distributions along the y direction with different coatings at a fixed coating thickness h = a; (a) E1  = 0.5E2 ; (b) E1  = 2E2

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Figure 6

Streamlines of the shear vectors in the contact area at different times of the load path in the case of E1  = 0.5E2 ; (a) at time O; (b) at time B; (c) at time D; (d) at time F; (e) at time H; (f) at time J

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Figure 7

Streamlines of the shear vectors in the contact area at different times of the load path in the case of E1  = E2 ; (a) at time B; (b) at time D; (c) at time F

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Figure 8

Streamlines of the shear vectors in the contact area at different times of the load path in the case of E1  = 2E2; (a) at time O; (b) at time B; (c) at time D; (d) at time F; (e) at time H; (f) at time J

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Figure 9

Dimensionless interfacial shear stresses τxz /ph along the x-axis at different times of the load path for different coatings with a fixed coating thickness h = a; (a) E1  = 0.5E2 ; (b) E1  = 2E2

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Figure 10

Tangential load–displacement cycles for different coatings with a fixed coating thickness h = a

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Figure 11

Tangential load–displacement cycles for different coatings and coating thicknesses; (a) E1  = 0.5E2 ; (b) E1  = 2E2

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Figure 12

Tangential load–displacement cycles for different friction coefficients with a fixed coating thickness h = a; (a) E1 = 0.5E2 ; (b) E1  = 2E2

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Figure 13

Ratios of stick zone to full contact zone at different times of the load path for different coatings with a fixed coating thickness h = a

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Figure 14

Ratios of stick zone to full contact zone at different times of the load path for different coatings and coating thicknesses; (a) E1  = 0.5E2 ; (b) E1  = 2E2

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Figure 15

Ratios of stick zone to full contact zone at different times of the load path for different friction coefficients with a fixed coating thickness h = a; (a) E1  = 0.5E2 ; (b) E1  = 2E2

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