Mixed boundary value problems for a cylindrical shell

L. M. Keer*, H. A. Watts

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

12 Scopus citations


Two mixed boundary value problems in potential theory for a semi-infinite cylindrical shell are solved. The first is interpreted as a heat conduction problem for an insulated shell containing a circumferential obstruction. The second is the torsion of a cylindrical shell containing a circumferential crack. For both problems the normal derivative of the potential function is taken as zero on the inner and outer shell walls. The boundary conditions at the end of the shell are mixed with respect to the potential function and its normal derivative. The problems are formulated using integral transforms in a manner leading to a singular integral equation which can be solved by numerical means. Intensity factors along the circumference separating the mixed conditions are computed.

Original languageEnglish (US)
Pages (from-to)723-729
Number of pages7
JournalInternational Journal of Solids and Structures
Issue number11
StatePublished - 1976

ASJC Scopus subject areas

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


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