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RESEARCH PAPERS

Thermal Distortion of an Anisotropic Elastic Half-Plane and its Application in Contact Problems Including Frictional Heating

[+] Author and Article Information
Yuan Lin

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 128(1), 32-39 (Sep 16, 2005) (8 pages) doi:10.1115/1.2125907 History: Received March 16, 2004; Revised September 16, 2005

The thermal surface distortion of an anisotropic elastic half-plane is studied using the extended version of Stroh’s formalism. In general, the curvature of the surface depends both on the local heat flux into the half-plane and the local temperature variation along the surface. However, if the material is orthotropic, the curvature of the surface depends only on the local heat flux into the half-plane. As a direct application, the two-dimensional thermoelastic contact problem of an indenter sliding against an orthotropic half-plane is considered. Two cases, where the indenter has either a flat or a parabolic profile, are studied in detail. Comparisons with other available results in the literature show that the present method is correct and accurate.

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Copyright © 2006 by American Society of Mechanical Engineers
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Figures

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Figure 2

Flat indenter sliding against a half-plane

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Figure 3

Distribution of contact pressure (complete contact)

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Figure 4

Distribution of contact pressure (complete and incomplete contact)

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Figure 5

Surface deformation for the incomplete contact case (γV=0.006)

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Figure 6

Cylinder sliding against a half-plane

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Figure 7

(a) Change in length of contact area with respect to γV (isotropic material case). (b) Change in contact load with respect to γV (isotropic material case).

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Figure 8

(a) Comparison of present result with theoretical result. (b) Distribution of contact pressure (orthotropic material case). (c) Change in length of contact area with respect to γV (orthotropic material case).

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Figure 1

(a) Uniform heat flow over a strip. (b) Concentrated line heat source on the surface.

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