Interaction of collinear interface cracks between dissimilar one‐dimensional hexagonal piezoelectric quasicrystals

Abstract

AbstractIn this paper, the interaction of collinear interface cracks between dissimilar one‐dimensional (1D) hexagonal quasicrystals with piezoelectric effect under anti‐plane shear and in‐plane electric loading has been studied. By using complex variable method the mixed boundary value problem for the interface cracks was reduced to the solution of Riemann‐Hilbert problem. Analytic full‐field solution for phonon and phason stresses, electric fields, electric displacement in the cracked bi‐materials has been obtained based on the electrically permeable crack model. The electric field and electric displacement inside the interface cracks are found to be nonlinearly distributed under line loadings. The field intensity factors of the interface cracks depend on both the mechanical and electric load for the line loading case, but the field intensity factors depend only on mechanical loading when the uniform loadings are applied at infinity. The investigation of the SIFs of neighboring interface cracks has been used to predict possible crack propagation. It is found that when the neighboring cracks are close enough, the inner crack tips are more likely to propagate and when the neighboring cracks are far away from each other, the outer crack tip of the bigger crack has more possibility to propagate.