The interaction between a semi-infinite crack and a line dislocation in a decagonal quasicrystalline solid was investigated in detail by employing the complex variable method. The local stress intensity factors and energy release rate at the crack tip as well as the Peach–Koehler force acting on the line dislocation were presented. The crack tip shielding effect due to the line dislocation could be easily observed from the expressions of the local stress intensity factors. It was found that all the four components of the Burgers vector of the line dislocation could affect the local phonon and phason stress intensity factors. Besides, the problem of a line dislocation in a decagonal quasicrystalline half-space in which the boundary of the half-space was traction-free was also investigated and the Peach–Koehler force on the dislocation due to the presence of the free surface was derived.

Interaction between a Semi-Infinite Crack and a Straight Dislocation in a Decagonal Quasicrystal. X.Wang, Z.Zhong: International Journal of Engineering Science, 2004, 42[5-6], 521-38