Finite crack on bimaterial and bicrystal interfaces

J. L. Bassani, J. Qu

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Abstract

A Griffith crack lying along the interface between anisotropic elastic solids is analysed. Explicit solutions for the displacement and stress fields are obtained when the crack-tip fields are non-oscillatory ; i.e. the condition W = 0 is satisfied as derived by Qu and Bassani (J. Mech. Phys. Solids 37, 417-433, 1989). In this case, the stress intensity factors are real and the three fracture modes are separable at the crack tip. For interfaces formed by misorienting identical anisotropic solids through a relative tilt, this condition is satisfied if the in-plane and anti-plane deformations decouple in the interface-crack coordinates. Complete crack-tip stress fields are calculated for FCC bicrystals satisfying the decoupling condition. Based on Schmid's law, the small-scale-yielding plastic zones surrounding the crack tip are also estimated.

Original languageEnglish
Pages (from-to)435-453
Number of pages19
JournalJournal of the Mechanics and Physics of Solids
Volume37
Issue number4
DOIs
StatePublished - 1989

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