A mode I crack parallel to the interfaces in a periodically layered medium

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The plane problem of a single crack in a periodically layered bimaterial composite is considered. For the case of a long crack loaded by opening normal tractions, the universal relation obtained between the Mode I and Mode II stress intensity factors show that the most dangerous crack location lies in the midplane of the layer. This crack location of the Mode I finite length crack is examined in detail. A closed form expression of the Green's function for a single dislocation is derived and the problem is reduced to a singular integral equation of the first kind. The study of the dependence of the normalized stress intensity factor upon the crack length reveals a wavy nonmonotonic behavior. A simple analytic formula for the limiting case of a semi-infinite crack is derived. It is found to be valid for a broad range of parameters.

Original languageEnglish
Pages (from-to)171-186
Number of pages16
JournalInternational Journal of Fracture
Issue number3
StatePublished - 1999


  • Mode I crack
  • Periodically layered composite
  • Singular integral equation


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