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Mathematical Theory of Elasticity of Quasicrystals and Its Applications

This interdisciplinary work on condensed matter physics, the continuum mechanics of novel materials, and partial differential equations, discusses the mathematical theory of elasticity and hydrodynamics of quasicrystals, as well as its applications. By establishing new partial differential equations...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Fan, Tian-You (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Singapore : Springer Nature Singapore : Imprint: Springer, 2016.
Edition:2nd ed. 2016.
Series:Springer Series in Materials Science, 246
Subjects:
Online Access:Texto Completo
Table of Contents:
  • Crystals
  • Framework of crystal elasticity
  • Quasicrystals and their properties
  • The physical basis of elasticity of solid quasicrystals
  • Elasticity theory of one-dimensional quasicrystals and simplification.-Elasticity theory of two-dimensional quasicrystals and simplification
  • Application I-Some dislocation and interface problems and solutions of one- and two-dimensional quasicrystals
  • Application II-Solutions of notch and crack problems of one- and two-dimensional quasicrystals
  • Elasticity of three-dimensional quasicrystals and its applications
  • Phonon-phason dynamics and defects dynamics of solid quasicrystals
  • Complex analysis method
  • Variational principles of elasticity of quasicrystals, numerical analysis and applications
  • Some mathematical principles on solutions of elasticity of quasicrystals
  • Nonlinear behaviour of solid quasicrystals
  • Fracture theory of solid quasicrystals
  • Hydrodynamics of quasicrystals
  • Conclusion remarkable.