Abstract
Utilizing conformal transformation, a screw dislocation interacting with two unequal interface cracks emanating from an elliptical hole in a one-dimensional hexagonal piezoelectric quasicrystal bi-material was studied. The analytic expressions of the interface stresses, electric displacement and stress intensity factors were obtained. With the help of the generalization of the Peach–Koehler formula for quasicrystals, the image force acting on the dislocation due to the presence of the interface was then determined. Numerical examples are given to show the effects of the coupling elastic constants of the phonon field and phason field on the field intensity factors.
Highlights
As new functional and structural materials, quasicrystals (QCs) have been extensively used in many fields due to their special structures and excellent properties
The interaction between a screw dislocation and two unequal interface cracks emanating from the elliptical hole in one-dimensional hexagonal piezoelectric quasicrystal bi-material is considered in this paper
(2) If l2 = l1 = 0, Equation (29) can be reduced to the case of a screw dislocation interacting with an elliptical hole in the infinite quasicrystal piezoelectric bi-material
Summary
As new functional and structural materials, quasicrystals (QCs) have been extensively used in many fields due to their special structures and excellent properties. Li [10] considered the elasticity problem of one-dimensional hexagonal quasicrystals with planar cracks. Li and Liu [15] studied the interactions between dislocations and elliptical holes in three-dimensional (3D) QCs. Quasicrystalline materials with piezoelectric effects have been widely investigated [16,17,18,19]. Tupholme [22] considered the anti-plane crack problem in 1D hexagonal piezoelectric quasicrystal materials through the continuous dislocation layer method. Zhou and Li [23] investigated the Yoffe-type moving crack problem in 1D hexagonal piezoelectric quasicrystal materials. The interaction between a screw dislocation and two unequal interface cracks emanating from the elliptical hole in one-dimensional hexagonal piezoelectric quasicrystal bi-material is considered in this paper. The analytical expressions for the stress intensity factors are presented in detail
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