On branched, interface cracks

K. Hayashi, S. Nemat-Nasser

Research output: Contribution to journalArticlepeer-review

23 Citations (Scopus)


The problem of branched, external cracks in the interface between two elastic materials is considered under the plane strain condition. A small interface contact region is introduced in the vicinity of each crack tip in order to remove oscillatory singularities. The branches are replaced by continuous distribution of edge dislocations, and, with the aid of Muskhelishvili’s potential method, the problem is reduced to a system of singular integral equations which are defined on the branches and the perfectly bonded region of the interface. The unknown functions of these integral equations are the shear stress acting on the bonded region, and the density functions of the edge dislocations. Stress-intensity factors of the interface cracks and branches are obtained numerically for several branch angles and branch lengths. Finally, the question of kinking from a tip of an interface crack is discussed with the aid of the results.

Original languageEnglish
Pages (from-to)529-533
Number of pages5
JournalJournal of Applied Mechanics, Transactions ASME
Issue number3
Publication statusPublished - 1981 Sep
Externally publishedYes

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering


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