Multiple collinear Griffith cracks in a one-dimensional hexagonal quasicrystalline layer

Abstract

The fracture behavior of multiple collinear Griffith cracks in a one-dimensional quasicrystalline layer is investigated in this paper. Using the Fourier transform technique, the mixed boundary value problem is reduced to a system of Cauchy singular integral equations. The integral equations are further reduced to a system of algebraic equations. The stress intensity factors of the phonon and phason fields and the energy release rate are determined. Numerical results reveal the effects of geometric size, the distance of the cracks and loading parameter ratio of the phonon and phason fields on crack propagation and growth. The results seem useful for the design of quasicrystalline materials, structures and devices of high performance.