Analytic solutions of multiple moving cracks in an orthotropic layer bonded to an orthotropic FGM coating

Research output: Contribution to journalArticle


  • Mojtaba Ayatollahi
  • Rasul Bagheri
  • Mahsa Nourazar
  • Mojtaba Mahmoudi Monfared
  • Mahmoud Mousavi

Research units

  • Zanjan University
  • Islamic Azad University


In this paper, the dynamic behavior of an orthotropic substrate weakened by moving cracks and reinforced by a non-homogenous coating is studied. First, the solution to the screw dislocation in an orthotropic strip with imperfect orthotropic functionally graded coating is obtained. Then, for the anti-plane analysis of cracks, the screw dislocations are distributed along the crack lines and the dislocation solution is used to derive integral equations for dislocation density functions on the surface of cracks. The effects of non-homogeneity parameters, geometrical parameters and bonding coefficient on the stress intensity factors are investigated.


Original languageEnglish
Pages (from-to)394-403
Number of pages10
JournalApplied Mathematics and Computation
Publication statusPublished - 15 Jan 2017
MoE publication typeA1 Journal article-refereed

    Research areas

  • Antiplane, Imperfect FGM orthotropic coating, Multiple cracks, Orthotropic strip, Stress intensity factors

ID: 7531983