Numerical modelling for scattering of waves in three‐dimensional cracked material

Sixiong Han, Yasuaki Ichikawa

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


In this paper, a mathematical model is proposed for the problem of the scattering of plane waves in a three‐dimensional cracked materials. Instead of obtaining closed‐form solutions as in conventional theoretical analysis methods, this approach, called the Equivalent Nodal Force (ENF) method formulates the mechanical effects of cracks as an equivalent nodal force in a numerical procedure, and physically translates cracked material into an equivalent continuous one. Several mechanical relations between waves and cracks are evident from this method. Also the results of several numerical calculations are presented and these are compared with those obtained by the conventional methods.

Original languageEnglish
Pages (from-to)4081-4100
Number of pages20
JournalInternational Journal for Numerical Methods in Engineering
Issue number24
Publication statusPublished - Dec 30 1995
Externally publishedYes


  • crack
  • displacement gap vector
  • equivalent nodal force
  • wave propagation
  • wave scattering

ASJC Scopus subject areas

  • Numerical Analysis
  • General Engineering
  • Applied Mathematics


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