Crack-tip fields for fast fracture of an elastic-plastic material

J. D. Achenbach*, M. F. Kanninen, C. H. Popelar

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

61 Scopus citations


An asymptotic analysis of the near-tip fields is given for transient crack propagation in an elastic-plastic material. The material is characterized by J2 flow theory together with a bilinear effective stress-strain curve. Both plane stress and plane strain conditions have been considered. Explicit results are given for the order of the crack-tip singularity, the angular position at which unloading occurs, and the angular variation of the near-tip stresses, all as functions of the crack-tip speed and the ratio of the slopes of the two portions of the bilinear stress-strain relation. It was found that the results are much more sensitive to the elastic-plastic constitutive relation than to the crack speed. This result is important for numerical analyses of dynamic crack propagation problems.

Original languageEnglish (US)
Pages (from-to)211-225
Number of pages15
JournalJournal of the Mechanics and Physics of Solids
Issue number3
StatePublished - Jun 1981
Externally publishedYes

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering


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