Journal
PHILOSOPHICAL MAGAZINE
Volume 92, Issue 34, Pages 4334-4353Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/14786435.2012.706717
Keywords
two-dimensional hexagonal quasicrystals; spheroidal inclusion; rigid inclusion; cavity; penny-shaped crack
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Funding
- National Natural Science Foundation of China [11172319]
- Chinese Universities Scientific Fund [2011JS046]
- Alexander von Humboldt Foundation in Germany
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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.
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