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RESEARCH PAPERS

A Finite Element Analysis of Contact Stress and Strain in an Elastic Film on a Rigid Substrate—Part I: Zero Friction

[+] Author and Article Information
T. Ihara

Tokyo Institute of Technology, Tokyo, Japan

M. C. Shaw

Arizona State University, Tempe, Ariz.

B. Bhushan

Almaden Research Center, San Jose, CA 95120-6099

J. Tribol 108(4), 527-533 (Oct 01, 1986) (7 pages) doi:10.1115/1.3261256 History: Received November 28, 1985; Online October 29, 2009

Abstract

The stresses and strains in a semi-infinite homogeneous body indented by a rigid sphere is a classical problem first investigated by Hertz. The special case of a thin elastic layer on a rigid substrate indented by a rigid sphere is considered here using a finite element approach. This is a problem of interest in the hardness testing of thin sheet material and in engineering design when the applied load is axially directed. When the applied load has a frictional (tangential) component, the results are of particular interest in tribology. The study is divided into two parts. The first considers purely axial loading while the second part, presented in a companion paper, considers a combination of axial and tangential loading. Results in both cases are compared with the well known Hertz solution.

Copyright © 1986 by ASME
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