Row of shear cracks moving in one-dimensional hexagonal quasicrystalline materials

•A row of moving quasicrystalline shear cracks is analyzed.•Classical continuous dislocation distributions are extended to quasicrystals.•Explicit expressions for the stress fields created are derived.•The corresponding stress intensity factors and the J-integral are presented.

Representations for the stress fields created around an infinite row of collinear, antiplane shear cracks moving within one-dimensional hexagonal quasicrystals, and the resulting stress intensity factors and the J-integral, are determined in closed-form and discussed, using an extended method of dislocation layers. The solutions for a finite quasicrystalline plate containing a single moving crack and a plate with a moving edge crack are also provided by this analysis.