A Simplified Analysis of the Dynamic Stress Intensity Factor for 3-D Surface Cracks

Masumi Saka, Masao Akamatsu, Hiroyuki Abé

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


The line-spring model developed by Rice and Levy has proven to be an effective tool for evaluating stress intensity factors in surface-cracked plates. Application of the model, however, has been restricted to problems of static loading conditions. In this paper, the dynamic line-spring model is newly constructed to obtain an approximate dynamic response of a plate containing a surface crack. For an example of the application of the present model, the dynamic response of a plate which contains two semi-elliptical surface cracks and is subjected to a uniform vibrating loading at each end of the plate is analyzed. The dynamic stress intensity factor is calculated for the frequency of vibration along the crack front of the surface crack. It is observed that the dynamic stress intensity factor increases rapidly near the resonance frequency of the surface-cracked plate, which is lower than that of a uniform plate.

Original languageEnglish
Pages (from-to)131-136
Number of pages6
JournalTransactions of the Japan Society of Mechanical Engineers Series A
Issue number473
Publication statusPublished - 1986 Jan 1


  • 3-D Surface Crack
  • Dynamic Line-Spring Model
  • Dynamic Stress Intensity Factor
  • Finite Element Method
  • Fracture
  • Frequency Response

ASJC Scopus subject areas

  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering


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