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.