The debonding of elastic inclusions and inhomogeneities

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Abstract

This paper presents an anlytical study of the debonding of planar elastic inclusions and inhomogeneities. The standard inhomogeneity and inclusion (transformation) problems of Eshelby, which require a coherent interface, are reconsidered to allow for debonding. It is assumed that the inclusion or inhomogeneity interacts with the matrix through a prescribed interface force law which depends on the displacement jump at the interface. The solution procedure, which is not dependent on a particular inhomogeneity or inclusion geometry, force law or even planar elasticity, ultimately leads to a pair of integral equations governing the displacement jump at the interface. Detailed analytical solutions to the circular inclusion and inhomogeneity problems are obtained for the case where the interfacial traction varies linearly with displacement jump across the interface.

Original languageEnglish (US)
Pages (from-to)477-505
Number of pages29
JournalJournal of the Mechanics and Physics of Solids
Volume39
Issue number4
DOIs
StatePublished - 1991

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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