K-Dominance zone for a semi-infinite mode I crack in a sandwich composite

Michael Ryvkin*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


A Mode I semi-infinite crack located at the midplane of an elastic layer sandwiched between two identical half-spaces is considered. The complete stress distribution for the eigenproblem with traction-free crack faces and loading at infinity is obtained. The auxiliary problem for a loaded crack is first solved using the Wiener Hopf method and an eigensolution is derived by a limiting procedure. The solution is presented in closed form in terms of double quadratures. Based on an analysis of the stress field the size of the K-dominance zone is determined and restrictions are established on employing the conventional K-concept.

Original languageEnglish
Pages (from-to)4825-4840
Number of pages16
JournalInternational Journal of Solids and Structures
Issue number35
StatePublished - 29 Aug 2000


  • Eigen solution
  • K-Dominance zone
  • Sandwich composite
  • Winer-Hope method


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