Effective elastic properties of one-dimensional hexagonal quasicrystal composites

The explicit expression of Eshelby tensors for one-dimensional (1D) hexagonal quasicrystal composites is presented by using Green's function method. The closed forms of Eshelby tensors in the special cases of spheroid, elliptic cylinder, ribbon-like, penny-shaped, and rod-shaped inclusions embedded in 1D hexagonal quasicrystal matrices are given. As an application of Eshelby tensors, the analytical expressions for the effective properties of the 1D hexagonal quasicrystal composites are derived based on the Mori-Tanaka method. The effects of the volume fraction of the inclusion on the elastic properties of the composite materials are discussed.

Automated summary

This study presents the explicit expression of Eshelby tensors for one-dimensional hexagonal quasicrystal composites using Green's function method, providing closed forms for various inclusion shapes in the matrices. Utilizing these tensors, analytical expressions for the effective properties of the composites are derived based on the Mori-Tanaka method, with discussions on the effects of inclusion volume fraction on composite materials' elastic properties.