垂直于一维六方准晶双材料界面裂纹的反平面问题

Anti-plane Problem of a Crack Perpendicular to Interface of One-dimensional Hexagonal Quasicrystal Bi-material

利用Fourier变换方法和切比雪夫多项式展开法,研究垂直于一维六方准晶双材料界面裂纹的反平面问题。给出合理的边界条件,将垂直裂纹问题转化为奇异积分方程组的求解,再引入位错密度函数,由切比雪夫多项式法求得问题的数值解。

The anti-plane problem of a crack perpendicular to the interface of one-dimensional hexagonal quasicrystal 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.