Stress analysis for an elastic half space containing an axially-loaded rigid cylindrical rod

V. K. Luk*, L. M. Keer

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

64 Scopus citations

Abstract

The axially symmetric elastostatic problem of a half space containing a partially embedded, axially-loaded, rigid cylindrical rod is investigated. The rod is assumed to be in bonded contact with the half space and the half space surface is perpendicular to its axis. The problem is formulated by means of Hankel integral transforms and reduced to systems of coupled singular integral equations, where the unknown quantities are the normal and the shear stresses acting on the entire surface of the rod. Numerical solutions are obtained for several values of the aspect ratio, i.e. of radius to length, and for sufficiently small values of this ratio the results appear to be comparable to those of Muki and Sternberg for an axially-loaded rod. Comparison is also made for the percentage of the vertical resultant load carried by the base of rod with the results obtained by Poulos and Davis for a single axially-loaded incompressible pile.

Original languageEnglish (US)
Pages (from-to)805-827
Number of pages23
JournalInternational Journal of Solids and Structures
Volume15
Issue number10
DOIs
StatePublished - 1979
Externally publishedYes

Funding

Acknowledgement-This work was supported in part by the U.S. National Science Foundation, Grant ENG-77-22155.

ASJC Scopus subject areas

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

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