Stress singularities at crack corners

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Abstract

In this paper the stress and displacement fields near an embedded crack corner in a linear elastic medium are analytically computed. The conical-spherical coordinate system is introduced to solve this problem. It is observed that the strength of the stress singularity depends on the angle of the crack corner. The singularity becomes weaker, varying from r-1 to r0, as the angle of the crack corner varies from 360° to 0°. Both symmetric and skew-symmetric loadings give the same variation of the behavior of the stress singularity. It is also found that the order of the singularity is independent of the Poisson's ratio, unlike the corner cracks at a free surface where Poisson's ratio affects the results.

Original languageEnglish (US)
Pages (from-to)1-16
Number of pages16
JournalJournal of Elasticity
Volume39
Issue number1
Publication statusPublished - Apr 1995

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ASJC Scopus subject areas

  • Engineering (miscellaneous)
  • Computational Mechanics
  • Mechanics of Materials
  • Materials Science(all)

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