图书简介
This book gives a detailed description on mathematical theory of elasticity and generalized dynamics of solid quasicrystals and its applications.The Chinese edition of the book Mathematical Theory of Elasticity of Quasicrystals and Its Applications was published by the Beijing Institute of Technology Press in 1999, written by Prof Tian-You Fan. In this English edition of the book, the phonon-phason dynamics, defect dynamics and hydrodynamics of solid quasicrystals are included, so the scope of the book is beyond elasticity. Hence, the title in this edition is changed to Mathematical Theory of Elasticity and Generalized Dynamics of Quasicrystals and Its Applications. This book is the first and only monograph in the scope of quasicrystals since first published in 1999 in China and worldwide. In this edition, the two-dimensional quasicrystals of second kind, soft-matter quasicrystals and photonic bade-gap and application of photonic quasicrystals are added.This book combines the mechanical and physical behavior of quasicrystals and mathematical physics, which may help graduate students and researchers in the fields of new materials, condensed matter physics, applied mathematics and engineering science.Key FeaturePotential theory of generalized elasticity, mathematical physics, exact analytic solutions of complicated boundary value problems of quasicrystals
Crystals; Crystal (Classical) Elasticity; Solid Quasicrystals and Properties; Physical Basis of Elasticity of Solid Quasicrystals; Elasticity of One-Dimensional Quasicrystals and Simplification; Elasticity of Two-Dimensional Quasicrystals and Simplification; Applications I of Theory of Elasticity of One-and Two-Dimensional Quasicrystals; Applications II of Theory of Elasticity of One-and Two-Dimensional Quasicrystals; Elasticity of Three-Dimensional Quasicrystals and Applications; Phonon-Phason Dynamics, Defect Dynamics of Solid Quasicrystals; Complex Analysis Method; Variational Principle 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 Solid Quasicrystals; Two-Dimensional Quasicrystals of Second Kind; Formation Mechanism and Phase Transition of Soft-Matter Quasicrystals; Photonic Band-Gap and Application of Photonic Quasicrystals; Concluding Remarks and Perspectives; Major Appendix
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