Normal compression wave scattering by a permeable crack in a fluid-saturated poroelastic solid

Yongjia Song, Hengshan Hu*, John W. Rudnicki

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

20 Scopus citations


A mathematical formulation is presented for the dynamic stress intensity factor (mode I) of a finite permeable crack subjected to a time-harmonic propagating longitudinal wave in an infinite poroelastic solid. In particular, the effect of the wave-induced fluid flow due to the presence of a liquid-saturated crack on the dynamic stress intensity factor is analyzed. Fourier sine and cosine integral transforms in conjunction with Helmholtz potential theory are used to formulate the mixed boundary-value problem as dual integral equations in the frequency domain. The dual integral equations are reduced to a Fredholm integral equation of the second kind. It is found that the stress intensity factor monotonically decreases with increasing frequency, decreasing the fastest when the crack width and the slow wave wavelength are of the same order. The characteristic frequency at which the stress intensity factor decays the fastest shifts to higher frequency values when the crack width decreases.

Original languageEnglish (US)
Pages (from-to)356-367
Number of pages12
JournalActa Mechanica Sinica/Lixue Xuebao
Issue number2
StatePublished - Apr 1 2017
Externally publishedYes


  • Biot’s theory
  • Dynamic stress intensity factor
  • Finite crack
  • Poroelasticity

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanical Engineering


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