FINITE ELEMENT ANALYSIS OF WAVE DIFFRACTION BY A CRACK

Zdenek P. Bazant*, John L. Glazik, hJan D. Achenbach

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

Abstract

The time history of mode III stress intensity factor K//S//3 is calculated, and compared with exact solutions. It is found that crack-tip elements with a singular strain field are much less effective in elastodynamics than elastostatics. The nonsingular (ordinary) crack tip element whose crack-opening displacement is calibrated against the exact value of k//S//3 by means of a static finite element solution for load applied at remote boundaries was found to be most effective. Detailed studies have also been carried out for implicit and explicit time-step algorithms; proper sizes of elements; methods for solving equation systems; the questions of nonreflecting boundary; lumping of mass matrix; and elimination of spurious oscillations superimposed on the correct solution. The convergence and accuracy of various singular crack-tip elements have been examined. Finally, application of the technique for in-plane motions is also presented.

Original languageEnglish (US)
Pages (from-to)479-496
Number of pages18
JournalASCE J Eng Mech Div
Volume102
Issue number3
StatePublished - Jan 1 1976

ASJC Scopus subject areas

  • Environmental Science(all)
  • Engineering(all)
  • Earth and Planetary Sciences(all)

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