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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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Fan, Tian-You (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Singapore : Springer Nature Singapore : Imprint: Springer, 2016.
Edición:2nd ed. 2016.
Colección:Springer Series in Materials Science, 246
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.