Singularities of elastic stresses and of harmonic functions at conical notches or inclusions

Zdeněk P. Bažant*, Leon M. Keer

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

48 Scopus citations

Abstract

The nature of singularities at the vertex of conical notches and inclusions is found for problems of potential theory and for elastostatic problems of torsion and of axisymmetric stress. A solution in terms of spherical harmonics and a general numerical solution based upon the field equations are used to determine the power dependence of the field quantities upon the distance from the apex of the cone. Eigenvalues representing the exponent are computed for various values of cone angle and for various Poisson ratios.

Original languageEnglish (US)
Pages (from-to)957-964
Number of pages8
JournalInternational Journal of Solids and Structures
Volume10
Issue number9
DOIs
StatePublished - Sep 1974

ASJC Scopus subject areas

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

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