Study on effective electroelastic properties of one-dimensional hexagonal piezoelectric quasicrystal containing randomly oriented inclusions

In this paper, the effective electroelastic properties of one-dimensional (1D) hexagonal piezoelectric quasicrystal containing randomly oriented inclusions are considered. The explicit expressions are obtained for the Eshelby tensors for 1D hexagonal piezoelectric quasicrystals containing rod-shaped and penny-shaped inclusions. The closed forms of the electroelastic constants are acquired for four special cases of random orientations of inclusions. Numerical results are given for the 1D hexagonal piezoelectric quasicrystal containing randomly oriented ellipsoidal inclusions. The results indicate that the effective electroelastic properties of 1D hexagonal piezoelectric quasicrystal composites are strongly affected by both the aspect ratio and the orientation of inclusions.

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This paper considers the effective electroelastic properties of one-dimensional (1D) hexagonal piezoelectric quasicrystals containing randomly oriented inclusions. The explicit expressions for the Eshelby tensors are obtained for the two types of inclusions. The electroelastic constants are acquired for four specific cases of random orientations of inclusions. Numerical results are provided for ellipsoidal inclusions. The findings demonstrate the significant influence of aspect ratio and orientation on the effective electroelastic properties of 1D hexagonal piezoelectric quasicrystal composites.