Construction of a dynamic weight function from a finite-element solution for a cracked beam

H. J. Petroski, J. L. Glazik, J. D. Achenbach

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

An elastodynamic weight function for a cracked beam is shown to be determined by the elastodynamic stress intensity factor corresponding to a single crack-face loading of the beam. This weight function suffices to determine the time-dependent stress intensity factor corresponding to other dynamic loadings of the same cracked beam. The example of a center-cracked pinned-pinned beam serves to illustrate and verify the technique. The weight function is constructed from finite element results for the case of a step pressure distributed uniformly along the beam, and the case of a step load concentrated at the crack plane serves as an illustration of the efficacy of the weight function so constructed.

Original languageEnglish (US)
Pages (from-to)51-56
Number of pages6
JournalJournal of Applied Mechanics, Transactions ASME
Volume47
Issue number1
DOIs
StatePublished - Jan 1 1980

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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