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.