Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Published in:
Read chapter Read first chapter

2022 | OriginalPaper | Chapter

16. An Application to Smectic A Liquid Crystals, Dislocation, and Crack

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

Published in: Generalized Dynamics of Soft-Matter Quasicrystals

Publisher: Springer Nature Singapore

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

In the previous chapter, we discuss general soft matter using the theory and method developed for solving soft-matter quasicrystals, where we emphasized one must consider the structure of concrete soft matter. In this chapter, we study a concrete soft matter, i.e., the smectic A liquid crystal and its dislocation and crack problem. These are interesting topics in soft matter. Apart from this, we hope to explore a longstanding puzzle, perhaps a paradox. The solution to the paradox may yield some beneficial results and lessons.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now
previous chapter Possible Applications to General Soft Matter
next chapter Conclusion Remarks
Literature
1.
Landau, L.D., Lifshitz, E.M.: Theory of Elasticity. Pergamon Press, Oxford (1980)MATH
2.
de Gennes, P.D., Prost, J.: The Physics of Liquid Crystals. Clarendon, London (1993)
3.
Kléman, M.: Linear theory of dislocations in a smetic A. Journal de Physique 35, 595–600 (1974)CrossRef
4.
Pershan, P.S.: Dislocation effects in smectic-A liquid crystals. J. Appl. Phys. 45, 1590–1604 (1974)ADSCrossRef
5.
Pleiner, H.: Structure of the core of a screw dislocation in smectic A liquid crystals. Liq. Cryst. 1, 197–201 (1986)CrossRef
6.
Kralj, S., Sluckin, T.J.: Landau-de Gennes theory of the core structure of a screw dislocation in smectic A liquid crystals. Liq. Cryst. 18, 887–902 (1995)CrossRef
7.
Kleman, M., Williams, C.E., Costello, M.J., et al.: Defect structures in isotropic smectic phases revealed by freeze-fracture electron microscopy. Phil. Mag. A 35, 33–56 (1997)CrossRef
8.
Pleiner, H.: Dynamics of a screw dislocation in smectic A liquid crystals. Phil. Mag. A 54, 421–439 (1986)ADSCrossRef
9.
Kralj, S., Sluckin, T.J.: Core structure of a screw disclination in smectic A liquid crystals. Phys. Rev E 48, R3244 (1983)ADSCrossRef
10.
Pleiner, H.: Energetics of screw dislocations in smectic A liquid crystals. Liq. Cryst. 3, 249–258 (1998)CrossRef
11.
Fan, T.Y.: Mathematical Theory of Elasticity of Quasicrystals and Its Applications. Science Press, Beijing/Springer-Verlag, Heidelberg, 1st edn (2010), 2nd edn (2016)
12.
Courant, R., Hilbert, D.: Methods of Mathematical Physics. Interscience Publishers, New York (1953)MATH
13.
Muskhelishvili, N.I.: Some Basic Problems of Mathematical Theory of Elasticity, English translation by Radok, J.R.M., Groningen, Noordhoff (1953).
14.
Oswald, P., Pieranski, P.: Smectic and Columnar Liquid Crystals. Taylor & Francis, London (2006)
15.
Fan, T.Y., Li, X.F.: The stress field and energy of screw dislocation in smectic A liquid crystals and mistakes of the classical solutions. Chin. Phys. B, 23, 046102 (2014)
16.
Bohn, S., Pauchard, L., Couder, Y.: Hierarchical crack pattern as formed by successive domain divisions. I. Temporal and geometrical hierarchy, Phys. Rev. E, 71, 046214 (2005)
17.
Tirumkudulu, M.S.: Cracking in drying latex films. Langmuir 21, 4938–4948 (2005)CrossRef
18.
Yow, H.N., Goikoetra, M., Goehring, L., Routh, A.F.: Effect of film thickness and particle size on cracking stresses in drying latex films. J. Colloid Interface Sci. 352, 542–548 (2010)ADSCrossRef
19.
van der Kooij, H.M., Sprakel, J.: Watching paint dry; more exciting than it seems. Soft Matter, 11, 6353–6359 (2015)
20.
Fan, T.Y., Tang, Z.Y.: A model of crack based on dislocations in smectic A liquid crystals. Chin. Phys. B, 23, 106103(2014)
21.
Muskhelishvili, N.I.: Singular Integral Equations, English translation by Radok, J.R.M., Groningen, Noordhoff (1954)
Metadata
Title
An Application to Smectic A Liquid Crystals, Dislocation, and Crack
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_16

Premium Partners

    Image Credits