A through interface crack between a transversely isotropic pair of materials (+30°/-60°, -30°/+60°)

Liran Rogel, Leslie Banks-Sills*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


This study focuses on a delamination between two layers of a fiber-reinforced composite material oriented in the directions θ/(θ-90°). Two specific interfaces are examined: the +30°/-60° interface and -30°/+60° interface. The delamination in these cases is treated effectively as a crack between two monoclinic materials. The behavior of the stress and displacement fields near the crack tip is studied. The first term of the asymptotic expansion for the stress and displacement fields are found by means of the Stroh and Lekhnitskii formalisms. A general solution is obtained for an interface crack in the x2=0 plane. The crack is between two monoclinic materials with x2=0 a symmetry plane. In order to calculate the stress intensity factors, a three-dimensional interaction energy or conservative M-integral is extended and implemented in conjunction with the finite element method. For the M-integral, the auxiliary fields used are particular cases of the stress and displacement fields obtained earlier. The displacement extrapolation method is also extended for this case. The crack surface displacements obtained from a finite element analysis are employed. The methods are independent of each other; hence, they may be used for validation of the results determined. Three test cases are analyzed to examine the accuracy of the results obtained by means of the M-integral method. In addition, two problems of a central crack in a symmetric composite under different loadings are solved. Those loadings are tension and in-plane shear. Stress intensity factors and the interface energy release rate are obtained along the crack front for all cases.

Original languageEnglish
Pages (from-to)3261-3291
Number of pages31
JournalEngineering Fracture Mechanics
Issue number16
StatePublished - Nov 2010


  • Asymptotic analysis
  • Composites
  • Conservation integrals
  • Delamination
  • Interface fracture
  • Stress intensity factor


Dive into the research topics of 'A through interface crack between a transversely isotropic pair of materials (+30°/-60°, -30°/+60°)'. Together they form a unique fingerprint.

Cite this