Effect of finite element choice in blunt crack band analysis

Luigi Cedolin*, Zdeněk P. Bažant

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

36 Scopus citations

Abstract

The previously developed method of element-wide blunt smeared crack bands, which allows an effective finite element analysis of cracks that are not fixed but propagate and do so in any direction, has so far been numerically studied and demonstrated only for the constant-strain triangular elements. Here this is accomplished for linear strain triangles and for all three methods developed in [1], including the methods of energy variation, of equivalent strength, and of fitting asymptotic series to nodal displacements. Meshes of greatly different sizes are shown to give again the same results except for a negligible error; this indicates satisfactory convergence. Accuracy of the stress intensity factor, compared to the exact solutions for sharp cracks, is found to be sufficient but not better than that achieved previously with constant strain triangles. However, the accuracy may well be better in case of concrete structures in which the element-wide crack band serves not merely as a convenient approximate representation of a sharp crack but as a better representation of the actual fracture process.

Original languageEnglish (US)
Pages (from-to)305-316
Number of pages12
JournalComputer Methods in Applied Mechanics and Engineering
Volume24
Issue number3
DOIs
StatePublished - Dec 1980

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Computer Science Applications

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