Technical Briefs

Direct Evaluation of Pressure Distribution of Frictionless Axisymmetric Indentation Problems

[+] Author and Article Information
Guanghui Fu

 LC Dental, 43713 Boscell Road, Fremont, CA 94538guanghuifu@yahoo.com

J. Appl. Mech 75(5), 054502 (Jul 17, 2008) (2 pages) doi:10.1115/1.2913000 History: Received September 12, 2007; Revised November 03, 2007; Published July 17, 2008

The pressure distribution between a rigid frictionless axisymmetric punch and an elastic half-space can be evaluated if the punch shape can be expressed by a polynomial function. However, there is a lack of investigation on how to calculate the pressure distribution when the punch shape cannot be expressed by a polynomial formula. This paper shows that with the help of a mathematical software, the pressure distribution can be evaluated directly from its corresponding analytical solutions. Using this technique, we evaluate the pressure distributions of a cosine punch and a hyperbolic cosine punch, and compare the results with Hertz’s solution.

Copyright © 2008 by American Society of Mechanical Engineers
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Grahic Jump Location
Figure 1

Indentation of an elastic half-space with a rigid frictionless punch

Grahic Jump Location
Figure 2

Contact pressure distributions: the solid line is for the Hertzian contact, the dashed line is for the cosine punch–half-space contact, and the dotted line is for the hyperbolic cosine punch–half-space contact



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