Anti-plane Problem of a Crack Perpendicular to Interface of One-dimensional Hexagonal Quasicrystal Bi-material
The anti-plane problem of a crack perpendicular to the interface of one-dimensional hexagonal quasicrys-tal bi-material is discussed by using Fourier transform and Chebyshev polynomials expansion method.Given the reasonable boundary conditions,the problem of perpendicular crack is transformed into a system of singular integral equations,and the dislocation density function is introduced to obtain the numerical solution of the problem by the Chebyshev polynomials method.