Abstract

This article studies the electroelastic behavior induced by a penny-shaped dielectric crack lying at the midplane of a one-dimensional (1D) hexagonal piezoelectric quasicrystal plate of finite thickness. Semi-permeable crack boundary conditions are given. By using the Hankel transform technique, an associated mixed boundary value problem is reduced to two coupled Fredholm integral equations of the second kind. Singular electric and elastic fields around the crack front along with their intensity factors in the phonon and phason fields near the crack front are obtained. The intensity factors of crack opening displacement (COD) across the crack faces are calculated and presented graphically. The influence of electric field and phason field on the COD intensity factors is analyzed. Permeable and impermeable cracks are two limit cases of the present.

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