MATH THEORY OF ELASTIC & GENERAL DYN QUASICRYSTALS & APPLN

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.

Contents:
CrystalsFramework of Crystal ElasticitySolid Quasicrystals and Their PropertiesThe Physical Basis of Elasticity of Solid QuasicrystalsElasticity Theory of One-dimensional Quasicrystals and SimplificationElasticity Theory of Two-dimensional Solid Quasicrystals of First Kind and SimplificationApplication I — Some Dislocation and Interface Problems and Solutions in One-dimensional and First Kind of Two-dimensional QuasicrystalsApplication II — Solutions of Notch and Crack Problems of One- and Two-dimensional QuasicrystalsTheory of Elasticity of Three-dimensional Quasicrystals and Their ApplicationsPhonon–Phason Dynamics and Defect Dynamics of Solid QuasicrystalsComplex Analysis Method for Elasticity of QuasicrystalsVariational Principle of Elasticity of Quasicrystals, Numerical Analysis and ApplicationsSome Mathematical Principles on Solutions of Elasticity of QuasicrystalsNonlinear Behaviour of Solid QuasicrystalsFracture Theory of Solid QuasicrystalsHydrodynamics of Solid QuasicrystalsTwo-dimensional Quasicrystals of the Second KindIdentification and Phase Transitions of Soft-matter QuasicrystalsPhotonic Band Gap and Application of Two-dimensional Photonic QuasicrystalsConcluding Remarks and PerspectivesAppendices
Readership: Graduate students and researchers in the field of new materials, condensed matter physics, applied mathematics and engineering science.

Key Features: Potential theory of generalized elasticity, mathematical physics, exact analytic solutions of complicated boundary value problems of quasicrystals