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


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
Your Session has timed out. Please sign back in to continue.






Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In