Journal article
Three-dimensional analysis of a spheroidal inclusion in a two-dimensional quasicrystal body
Publication Details
Authors: | Gao, Y.; Ricoeur, A. |
Publication year: | 2012 |
Journal: | Philosophical Magazine |
Pages range : | 4334-4353 |
Volume number: | 92 |
Start page: | 4334 |
End page: | 4353 |
Number of pages: | 20 |
ISSN: | 1478-6435 |
DOI-Link der Erstveröffentlichung: |
Abstract
This paper deals with the three-dimensional problem of a spheroidal quasicrystalline inclusion, which is embedded in an infinite matrix consisting of a two-dimensional quasicrystal subject to uniform loadings at infinity. Based on the general solution of quasicrystals in cylindrical coordinates, a series of displacement functions is adopted to obtain the explicit real-form results for the coupled fields both inside the inclusion and matrix, when three different types of loadings are studied: axisymmetric, in-plane shear and out-of-plane shear. Furthermore, the present results are reduced to the limiting cases involving inhomogeneities including rigid inclusions, cavities and penny-shaped cracks.
This paper deals with the three-dimensional problem of a spheroidal quasicrystalline inclusion, which is embedded in an infinite matrix consisting of a two-dimensional quasicrystal subject to uniform loadings at infinity. Based on the general solution of quasicrystals in cylindrical coordinates, a series of displacement functions is adopted to obtain the explicit real-form results for the coupled fields both inside the inclusion and matrix, when three different types of loadings are studied: axisymmetric, in-plane shear and out-of-plane shear. Furthermore, the present results are reduced to the limiting cases involving inhomogeneities including rigid inclusions, cavities and penny-shaped cracks.
Keywords
cavity, penny-shaped crack, rigid inclusion, spheroidal inclusion, two-dimensional hexagonal quasicrystals
