Exact solutions of two semi-infinite collinear cracks in a strip of one dimensional hexagonal quasicrystal

Two semi-infinite collinear cracks in a strip of one dimensional hexagonal quasicrystal is considered. With the help of conformal transformation, exact solutions are constructed by means of complex variable method. The stress intensity factors for the phonon field and the phason field are obtained respectively, which are very useful in the field of fracture mechanics and engineering.