Image force in cubic piezoelectric quasicrystal half-space and bi-material composite space

This paper is concerned with the image force in cubic piezoelectric quasicrystal semi-infinite space and infinite space containing two dissimilar quasicrystal half-spaces. On the basis of the Stroh formalism, the expressions of the Green's function for generalized displacement and stress under multi-physical loading conditions are obtained exactly. Also, the image force applied to a generalized line dislocation with different boundary conditions is taken into account. The image force for the traction-free and electrically open surface always attracts dislocation to the boundary, while that for clamped and electrically closed surface shows the opposite tendency. Illustrative examples, such as generalized line force and line charge, are given to present the mechanical behaviors of quasicrystals under different loading conditions and investigate the influences of material parameters and dislocation scheme on image force. The results show that generalized line force has little effect on atomic configurations, and image force F is the strongest when phonon and phason dislocations interact together