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Research Papers: Contact Mechanics

Three-Dimensional Rough Surface Contact Model for Anisotropic Materials

[+] Author and Article Information
Ling He

Department of Aerospace and Mechanical Engineering, University of Notre Dame, Notre Dame, IN 46556

Timothy C. Ovaert

Department of Aerospace and Mechanical Engineering, University of Notre Dame, Notre Dame, IN 46556tovaert@nd.edu

J. Tribol 130(2), 021402 (Apr 22, 2008) (6 pages) doi:10.1115/1.2908910 History: Received March 22, 2007; Revised December 30, 2007; Published April 22, 2008

By applying the line integral of Barnett–Lothe tensors on oblique planes, the three-dimensional rough surface contact problem for a semi-infinite anisotropic elastic half-plane in contact with a rough rigid sphere is formulated. The conjugate gradient technique of analytical continuation was employed to determine the contact parameters. The general solutions due to varying degrees of anisotropy and mechanical boundary conditions are obtained, and examples with fiber-reinforced composites are presented.

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Copyright © 2008 by American Society of Mechanical Engineers
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Figures

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Figure 1

Section of surface of smooth sphere

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Figure 2

Section of surface of rough sphere

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Figure 3

Normal approach from Hertz theory, smooth surface

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Figure 4

Normal approach from numerical model, smooth surface

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Figure 5

Pressure distribution from Hertz theory

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Figure 6

Pressure distribution from numerical model

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Figure 7

Normal approach for rough surface from numerical model

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Figure 8

Section of pressure distribution along the X1- and X2-axes for E1=E2=Ez=72GPa

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Figure 9

Section of pressure distribution for E2∕E1=10: (a) along the X1-axis and (b) along the X2-axis

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Figure 10

Section of pressure distribution along the X1- and X2-axes for Ez∕E1=3

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