Smooth indentation of an isotropic cantilever beam

Leon M. Keer*, William P. Schonberg

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

27 Scopus citations


The response of an isotropic cantilever beam of finite length under the action of frictionless cylindrical and flat indenters is studied. Solutions are obtained through a localglobal technique, which accounts for both the local behavior near the indenter, as well as the global beam behavior. The method of analysis superposes an infinite-layer solution, derived through the use of integral transforms with a pure-bending beam-theory solution. Local indenter stresses, as well as displacements and rotations, are computed for each case and plotted for various ratios of contact width to beam thickness, and for various positions of the indenter. Where possible, the results are compared to Hertz theory of contact stresses and to beamtheory displacement and rotation solutions.

Original languageEnglish (US)
Pages (from-to)87-106
Number of pages20
JournalInternational Journal of Solids and Structures
Issue number1
StatePublished - 1986
Externally publishedYes

ASJC Scopus subject areas

  • Modeling and Simulation
  • General Materials Science
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics


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