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Technical Briefs

Partial Contact of an Elastic Coated Cylinder Pressed by a Rigid Flat Surface

[+] Author and Article Information
Joseph M. Block

Department of Mechanical Engineering, Northwestern University, 2145 Sheridan Road, Evanston, IL 60208

Leon M. Keer1

Department of Mechanical Engineering, Northwestern University, 2145 Sheridan Road, Evanston, IL 60208l-keer@northwestern.edu

1

Corresponding author.

J. Tribol 131(2), 024502 (Mar 04, 2009) (3 pages) doi:10.1115/1.2958072 History: Received September 27, 2007; Revised April 27, 2008; Published March 04, 2009

The normal contact of a frictionless elastic coated cylinder indented by a flat rigid surface is solved using a Michell–Fourier series expansion, which satisfies the mixed boundary value problem resulting from partial contact. The boundary conditions are chosen such that the elastic layer rests on the cylindrical substrate. When the contact region is small compared to the radius of curvature of the coated cylinder, semi-analytical solutions are obtained by exploiting dual series equation techniques. The stresses on the surface are evaluated for plane strain. The results may have application to coated cylindrical structures, bimaterial inclusions, or pin-joint contact.

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Copyright © 2009 by American Society of Mechanical Engineers
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Figures

Grahic Jump Location
Figure 1

Partial contact of an elastic smooth coated cylinder pressed by rigid flat surface

Grahic Jump Location
Figure 2

Surface pressure for a hard coating on a cylinder with θc=5deg and θ0=90deg and material parameters κ1=1.8, κ2=2, and μ2∕μ1=0.05 in plane strain

Grahic Jump Location
Figure 3

Normal surface pressure for a soft coating on a cylinder with θc=5deg, and θ0=90deg and material parameters κ1=1.8, κ2=2, and μ2∕μ1=20 in plane strain

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