Mathematical Theory of Elasticity of Quasicrystals and Its Applications

  • Tian-You  Fan

Part of the Springer Series in Materials Science book series (SSMATERIALS, volume 246)

Table of contents

About this book


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 of higher order and their solutions under complicated boundary value and initial value conditions, the theories developed here dramatically simplify the solution of complex elasticity problems. Comprehensive and detailed mathematical derivations guide readers through the work. By combining theoretical analysis and experimental data, mathematical studies and practical applications, readers will gain a systematic, comprehensive and in-depth understanding of condensed matter physics, new continuum mechanics and applied mathematics. 

This new edition covers the latest developments in quasicrystal studies. In particular, it pays special attention to the hydrodynamics, soft-matter quasicrystals, and the Poisson bracket method and its application in deriving hydrodynamic equations. These new sections make the book an even more useful and comprehensive reference guide for researchers working in Condensed Matter Physics, Chemistry and Materials Science.


Mathematical elasticity of quasicrystals Mechanical behaviour of quasicrystalline materials Phonon-phason dynamics Plastic deformation of quasicrystals Soft-matter quasicrystals Solid quasicrystals Displacement potential function formulation Stress potential function formulation

Authors and affiliations

  • Tian-You  Fan
    • 1
  1. 1.School of Physics Beijing Institute of TechnologyBeijingChina

Bibliographic information

Industry Sectors
Energy, Utilities & Environment
Oil, Gas & Geosciences