Contact problems involving beams

Jae Hyung Kim, Young Ju Ahn, Yong Hoon Jang, J. R. Barber

Research output: Contribution to journalArticle

10 Citations (Scopus)


Elastic contact problems involving Euler-Bernoulli beams or Kirchhoff plates generally involve concentrated contact forces. Linear elasticity (e.g. finite element) solutions of the same problems show that finite contact regions are actually developed, but these regions have dimensions that are typically of the order of the beam thickness. Thus if beam theory is appropriate for a given structural problem, the local elasticity fields can be explored by asymptotic methods and will have fairly general (problem independent) characteristics. Here we show that the extent of the contact region is a fixed ratio of the beam thickness which is independent of the concentrated load predicted by the beam theory, and that the distribution of contact pressure in this region has a universal form, which is well approximated by a simple algebraic expression.

Original languageEnglish
Pages (from-to)4435-4439
Number of pages5
JournalInternational Journal of Solids and Structures
Issue number25-26
Publication statusPublished - 2014 Dec 1


All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

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