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Archive of Applied Mechanics
Erschienen in: Archive of Applied Mechanics 8/2023

23.05.2023 | Original

Eshelby tensors and effective stiffness of one-dimensional orthorhombic quasicrystal composite materials containing ellipsoidal particles

verfasst von: Zhiming Hu, Xin Feng, Xiang Mu, Gan Song, Liangliang Zhang, Yang Gao

Erschienen in: Archive of Applied Mechanics | Ausgabe 8/2023

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Abstract

Eshelby tensors serve as the basis of micromechanics which should be explored first to study the effective mechanical behavior of heterogeneous materials. In this paper, Eshelby tensors are extended from isotropic materials to quasicrystals. By utilizing Green’s functions and Cauchy’s residue theorem, simple and unified expressions of Eshelby tensors for one-dimensional (1D) orthorhombic quasicrystal are derived. Specifically, the closed-form Eshelby tensors are given when the shapes of the inclusions are spheroid, elliptic cylinder, rod-shaped, penny-shaped, and ribbon-like, respectively. Furthermore, the effective stiffnesses of 1D orthorhombic quasicrystal are obtained in view of the received Eshelby tensors and the Mori–Tanaka mean theory. Finally, parameter studies are carried out, and the effect of material properties and volume fraction on the effective overall material properties are investigated.
Vorheriger Artikel Effects of randomness and piezomagnetic coupling on the appearance of stop-bands in heterogeneous magnetorheological elastomers

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Metadaten
Titel
Eshelby tensors and effective stiffness of one-dimensional orthorhombic quasicrystal composite materials containing ellipsoidal particles
verfasst von
Zhiming Hu
Xin Feng
Xiang Mu
Gan Song
Liangliang Zhang
Yang Gao
Publikationsdatum
23.05.2023
Verlag
Springer Berlin Heidelberg
Erschienen in
Archive of Applied Mechanics / Ausgabe 8/2023
Print ISSN: 0939-1533
Elektronische ISSN: 1432-0681
DOI
https://doi.org/10.1007/s00419-023-02438-9

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