Articles

Effective elastic properties of one-dimensional hexagonal quasicrystal composites

  • Shuang LI ,
  • Lianhe LI
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  • College of Mathematics Science, Inner Mongolia Normal University, Hohhot 010022, China

Received date: 2021-04-21

  Revised date: 2021-06-30

  Online published: 2021-09-23

Supported by

the National Natural Science Foundation of China (Nos. 11962026, 12002175, 12162027, and 62161045) and the Inner Mongolia Natural Science Foundation of China (No. 2020MS01018)

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.

Cite this article

Shuang LI , Lianhe LI . Effective elastic properties of one-dimensional hexagonal quasicrystal composites[J]. Applied Mathematics and Mechanics, 2021 , 42(10) : 1439 -1448 . DOI: 10.1007/s10483-021-2778-8

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