An antiplane shear crack moving in one-dimensional hexagonal quasicrystals

•A moving quasicrystalline shear crack subjected to non-constant loading is analyzed.•A quasicrystals extension of the classical continuous dislocation distributions is utilized.•Explicit expressions for the stress fields created are derived.•The corresponding stress intensity factors are presented.

An investigation is presented of an antiplane shear strip crack subjected to representative general non-constant crack-face loading conditions which is moving uniformly in one-dimensional hexagonal quasicrystals, using an extended technique of continuous dislocation layers. Readily-calculable explicit closed-form representations are determined and discussed for the components of the phonon and phason stress fields created throughout the media. Illustrative numerical results are presented graphically. As a special case, the corresponding expressions are deduced explicitly for a non-uniformly loaded stationary crack.