Effective elastic properties of one-dimensional hexagonal quasicrystal composites
Shuang Li, Lianhe Li
Abstract
Abstract 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.
Topics & Concepts
QuasicrystalRibbonHexagonal crystal systemMaterials scienceComposite numberComposite materialCylinderVolume fractionGeometryMathematicsCrystallographyChemistryQuasicrystal Structures and PropertiesArchaeology and Rock Art StudiesX-ray Diffraction in Crystallography