The Griffith Crack and the Interaction between Screw Dislocation and Semi-Infinite Crack in Cubic Quasicrystal Piezoelectric Materials

Abstract

The Griffith crack problem and the interaction between screw dislocation and semi-infinite crack in cubic quasicrystal piezoelectric materials are studied by using the complex variable function method. The stress intensity factors and electric displacement intensity factors are obtained. The effects of the linear force and coupling elastic coefficient on the stress intensity factor of phonon field and phason fields are discussed in detail. By numerical examples, it is found that the linear force and the coupling elastic constant have a significant effect on the stress intensity factor.

Applications of Crystal Plasticity in Forming Technologies

“…Lastly, Jiandong and Lianhe [11] investigated the Griffith crack problem and the relationship between a screw dislocation and semi-infinite fracture in cubic quasicrystal piezoelectric materials using a complex variable function approach. They provided an in-depth discussion regarding the linear force and coupling elastic coefficient that affect the stress intensity factor of phonon and phason fields.…”