0
Research Papers: Contact Mechanics

# Partial Slip Contact Analysis on Three-Dimensional Elastic Layered Half Space

[+] Author and Article Information
Zhan-Jiang Wang, Hui Wang, Dong Zhu

State Key Laboratory of Tribology, Tsinghua University, Beijing 100084, P. R. China

Wen-Zhong Wang

School of Mechanical Vehicular Engineering, Beijing Institute of Technology, Beijing 100081, P. R. China

Yuan-Zhong Hu1

State Key Laboratory of Tribology, Tsinghua University, Beijing 100084, P. R. Chinahuyz@tsinghua.edu.cn

1

Corresponding author.

J. Tribol 132(2), 021403 (Mar 11, 2010) (12 pages) doi:10.1115/1.4001011 History: Received November 13, 2008; Revised January 11, 2010; Published March 11, 2010; Online March 11, 2010

## Abstract

An elastic contact model for three-dimensional layered or coated materials under coupled normal and tangential loads, with consideration of partial slip effects, has been developed in this paper. The response functions for calculating the displacements and stresses were determined in the frequency domain by using the Papkovich–Neuber potentials. The partial slip contact problem was solved by a numerical procedure based on the conjugate Gradient method and fast Fourier transform technique. The contact pressure, surface shear tractions, stick ratios, rigid body displacements, and subsurface stresses are analyzed under different conditions with variations in the material properties and coating thickness. Results show that stiffer coatings tend to decrease the stick ratios and the rigid ball tangential displacements in comparison to those with compliant coatings under the same contact conditions. For stiffer coatings, the values of the von Mises stress and compressive surface stress increase and the positions of maximum von Mises stress move up to the surface; meanwhile, the distributions of the compressive stress become asymmetric due to the action of the tangential load.

<>

## Figures

Figure 13

Dimensionless interfacial shear stress σzx/ph along the x-axis at z=h for different coatings and tangential forces with a fixed coating thickness h=a: (a) Fx=0; (b) Fx=0.2μfW; (c) Fx=0.6μfW; and (d) Fx=0.9μfW

Figure 1

Representation of a rigid ball and a coated substrate in point contact

Figure 2

Flow chart for the calculation of the stick-slip contact model

Figure 3

Contact pressure distributions along the x-direction with different coatings and tangential forces at a fixed coating thickness h=a: (a) Fx=0; (b) Fx=0.2μfW; (c) Fx=0.6μfW; and (d) Fx=0.9μfW

Figure 4

Shear traction qx distributions along the x-direction with different coatings and tangential forces at a fixed coating thickness h=a: (a) Fx=0; (b) Fx=0.2μfW; (c) Fx=0.6μfW; and (d) Fx=0.9μfW

Figure 5

Contour plots of the dimensionless shear traction qx/ph on the surface with different coatings under a normal load W and a fixed tangential force Fx=0.6μfW and coating thickness h=a: (a) E1=0.5E2; (b) E1=E2; and (c) E1=2E2

Figure 6

Contour plots of the dimensionless shear traction qy/ph on the surface with different coatings under a normal load W and a fixed tangential force Fx=0.6μfW and coating thickness h=a: (a) E1=0.5E2; (b) E1=E2; and (c) E1=2E2

Figure 7

Ratios of the stick zone to full contact zone under the increasing tangential force with different coatings at a fixed coating thickness h=a

Figure 8

Rigid ball tangential displacements under the increasing tangential force with different coatings at a fixed coating thickness h=a

Figure 9

Contact results affected by coatings thickness under a normal load W and a fixed tangential forces Fx=0.6μfW: (a) ratios of the stick zone to full contact zone; (b) rigid ball tangential displacements

Figure 10

Contours of the von Mises stress 3J2/ph in the y=0 plane for different coatings under a normal load W alone with a fixed coating thickness h=a: (a) E1=0.5E2; (b) E1=E2; and (c) E1=2E2

Figure 11

Contours of the von Mises stress 3J2/ph in the y=0 plane for different coatings under a normal load W and a fixed tangential force Fx=0.6μfW with a fixed coating thickness h=a: (a) E1=0.5E2; (b) E1=E2; and (c) E1=2E2

Figure 12

Variation in dimensionless surface stresses σxx/ph along the x-axis for different coatings and tangential forces with a fixed coating thickness h=a: (a) Fx=0; (b) Fx=0.2μfW; (c) Fx=0.6μfW; and (d) Fx=0.9μfW

## Discussions

Some tools below are only available to our subscribers or users with an online account.

### Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related Proceedings Articles
Related eBook Content
Topic Collections