Dislocations, imperfect interfaces and interface cracks in anisotropic elasticity for quasicrystals

Abstract

We derive the detailed structures of the 6×6 matrices Ni and N.i(-1) (i =1, 2, 3) in the Stroh formalism of anisotropic elasticity for quasicrystals. All six matrices are expressed explicitly in terms of the sixty-six reduced elastic compliances. The Green's functions for bi-quasicrystals are also obtained. Next, we derive compliant and stiff interface models in anisotropic quasicrystalline bimaterials. It is observed that the phonon normal traction is always continuous across the stiff interface. Finally we present the asymptotic fields associated with a tractionfree, semi-infinite interface crack in anisotropic quasicrystalline bimaterials and solve the collinear interface crack problem. The interface crack-tip field consists of three two-dimensional oscillatory singularities which are evaluated via the introduction of three complex stress intensity factors.