Loss of contact between an elastic layer and half-space

Leon M. Keer*, Kasem Chantaramungkorn

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

14 Scopus citations


The plane problem of smooth contact between an elastic layer and a half-space is analyzed. The layer is pressed against the half-space by a uniform load applied over its entire surface except for one region of finite length. The solution is given as the sum of solutions to two plane problems, one of which is known a priori. The analysis of the other problem leads to an inhomogeneous Fredholm integral equation for an auxiliary function that is related to the contact pressure. The boundedness of the contact stress at the end of the contact is used to determine the region of separation. The integral equation is solved numerically and the relevant physical quantities are computed and presented in the form of curves.

Original languageEnglish (US)
Pages (from-to)191-197
Number of pages7
JournalJournal of Elasticity
Issue number3
StatePublished - Sep 1 1972

ASJC Scopus subject areas

  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering


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