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Crystals 2017, 7(12), 373; https://doi.org/10.3390/cryst7120373

Defects in Static Elasticity of Quasicrystals

1
,
1,2,* and 1,*
1
Institute of Science, Taiyuan University of Technology, Taiyuan 030024, China
2
Shanxi meteorological Administration department, Chinese Meteorological Administration, Taiyuan 030024, China
*
Authors to whom correspondence should be addressed.
Academic Editor: Dmitry A. Shulyatev
Received: 27 October 2017 / Revised: 4 December 2017 / Accepted: 5 December 2017 / Published: 14 December 2017
(This article belongs to the Special Issue Structure and Properties of Quasicrystalline Materials)
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Abstract

A review on mathematical elasticity of quasicrystals is given. In this review, the focus is on various defects of quasicrystals. Dislocation and crack are two classes of typical topological defects, while their existence has great influence on the mechanical behavior of quasicrystals. The analytic and numerical solutions of dislocations and crack in quasicrystals are the core of the static and dynamic elasticity theory, and this paper gives a comprehensive review on the solutions for dislocations and crack with different configurations in different various important quasicrystalline systems. We review some results in linear elasticity of quasicrystals, referring to different boundary value problems. We also add some new achievements. View Full-Text
Keywords: quasicrystals; elasticity; crack; stress intensity factor; Dugdale model quasicrystals; elasticity; crack; stress intensity factor; Dugdale model
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Xu, Q.; Lu, J.; Li, W. Defects in Static Elasticity of Quasicrystals. Crystals 2017, 7, 373.

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