Smooth indentation of finite layer

Leon M. Keer, Gregory R. Miller

Research output: Contribution to journalArticlepeer-review

40 Scopus citations


The plane problem of a layer of finite length under the action of a frictionless indenter is studied. The solution obtained accounts for both the local contact behavior near the indenter and the overall beam behavior as well. The analysis superposes an infinite layer solution derived through the use of integral transforms with a pure bending beam theory solution. The problem is reduced to a Fredholm integral equation of the second kind, which is solved numerically. Clamped and simply supported end conditions are studied; overall compliances and local indenter stresses are computed and plotted for various ratios of contact length to layer thickness. The results are compared to beam theory compliances and Hertz theory contact stresses.

Original languageEnglish (US)
Pages (from-to)706-717
Number of pages12
JournalJournal of Engineering Mechanics
Issue number3
StatePublished - Jun 1983

ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering


Dive into the research topics of 'Smooth indentation of finite layer'. Together they form a unique fingerprint.

Cite this