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Introduction to Soft Matter Read chapter Read first chapter

2022 | OriginalPaper | Chapter

9. Dynamics of 8-Fold Symmetric Soft-Matter Quasicrystal Models

Authors : Tian-You Fan, Wenge Yang, Hui Cheng, Xiao-Hong Sun

Published in: Generalized Dynamics of Soft-Matter Quasicrystals

Publisher: Springer Nature Singapore

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Abstract

Apart from the observed 12-, 18-, and 10-fold symmetric soft-matter quasicrystals, the 8-fold symmetric soft-matter quasicrystals are plausible to be observed soon. With the consideration of the angles and symmetry, the 8-fold symmetric quasicrystals exhibit similarities with their 5-, 10-, and 12-fold symmetric equivalents.

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previous chapter Dynamics of 10-Fold Symmetrical Soft-Matter Quasicrystals
next chapter Dynamics of 18-Fold Symmetric Soft-Matter Quasicrystals
Literature
1.
Fan, T.Y.: Mathematical Theory of Elasticity of Quasicrystals and Its Applications, Beijing, 1st edn. (2010), 2nd edn. (2016). Science Press/Heidelberg, Springer
2.
Li, X.F., Fan, T.Y.: New method for solving plane elasticity of planar quasicrystals and solution. Chin. Phys. Lett. 15, 278–280 (1998) ADSCrossRef
3.
Zhou, W. M.: Dislocation, crack and contact problems in two- and three-dimensional quasicrystals. Dissertation (in Chinese), Beijing Institute of Technology (2000); Zhou, W.M., Fan, T.Y.: Plane elasticity of octagonal quasicrystals and solutions. Chin. Phys. 10, 743–747 (2000)
4.
Wang, F., Chen, H., Fan, T.Y., Hu, H.Y.: A stress analysis of some fundamental specimens of soft matter quasicrystals with 8-fold symmetry based on generalized dynamics. Adv. Mater. Sci. Eng. Article 1D 8789151 (2019)
5.
Fan, T.Y., Tang, Z.Y.: Three-dimensional generalized dynamics of soft matter quasicrystals. Appl. Math. Mech. 38, 1095–1207 (in Chinese) (2017); Adv. Mater. Sci. Eng. Article 1D 4875854 (2020)
6.
Fan, T.Y.: Equation system of generalized hydrodynamics of soft matter quasicrystals. Appl. Math. Mech. 37, 331–347 (2016) (in Chinese). arXiv:​1908.​06425], Oct 15, 2019
Metadata
Title
Dynamics of 8-Fold Symmetric Soft-Matter Quasicrystal Models
Authors
Tian-You Fan
Wenge Yang
Hui Cheng
Xiao-Hong Sun
Copyright Year
2022
Publisher
Springer Nature Singapore
Book
Generalized Dynamics of Soft-Matter Quasicrystals

Print ISBN: 978-981-16-6627-8

Electronic ISBN: 978-981-16-6628-5

Copyright Year: 2022

DOI
https://doi.org/10.1007/978-981-16-6628-5_9

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