Can a finite plate model provide intrinsic nature of oscillation of an infinite plate with a crack?

Shin Ito, Kazuo Hayashi

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


It is examined by numerical calculation whether a finite plate with a 2D crack provides intrinsic natures of oscillation of an infinite plate, emphasizing the application to geometrical characterization of a geothermal reservoir crack. Boundary Integral Equation Method is employed for the numerical calculation. Two extreme cases are considered, i.e., a crack without fluid in it (dry) and a crack filled with fluid (wet). The results show that what happens depends on if the crack is dry or wet. If the crack is dry, no information on oscillation nature of the infinite plate is available from the data of oscillation of a finite plate. On the contrary to this, if the crack is wet, the intrinsic nature of an infinite plate oscillation appears clearly in the data of oscillation of the finite plate. Scale effect does exist, depending on the size ratio defined as the ratio of the plate half width to the crack half length. The scale effect shrinks rapidly with the increasing size ratio. It is found that the scale effect disappears for the size ratio that is larger than two.

Original languageEnglish
Pages (from-to)1288-1293
Number of pages6
JournalNihon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A
Issue number11
Publication statusPublished - 2007 Nov
Externally publishedYes


  • Boundary element method
  • Coupled vibration
  • Elastic wave
  • Elasticity
  • Geothermal energy
  • Geothermal reservoir crack

ASJC Scopus subject areas

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


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