Integral identities for fracture along imperfectly joined anisotropic ceramic bimaterials

Adam Vellender, Lewis Pryce, Alexander Zagnetko

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We study a crack lying along an imperfect interface in an anisotropic bimaterial. A method is devised where known weight functions for the perfect interface problem are used to obtain singular integral equations relating the tractions and displacements for both the in-plane and out-of-plane fields. The problem can be considered as modelling bimaterial ceramics which are joined with a thin soft adhesive substance. The integral equations for the out-of-plane problem are solved numerically for orthotropic bimaterials with differing orientations of anisotropy and for different extents of interfacial imperfection. These results are then compared with finite element computations.
Original languageEnglish
Pages (from-to)2389-2402
JournalJournal of the European Ceramic Society
Issue number9
Early online date22 Feb 2016
Publication statusPublished - 01 Aug 2016


  • anisotropic bimaterial
  • fracture
  • imperfect interface
  • integral identity
  • Piezoceramic


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