Mathematical Theory of Elasticity of Quasicrystals and Its Applications - Paperback

EAN (ISBN-13): 9789811094958
ISBN (ISBN-10): 9811094950
Paperback
Publishing year: 2018
Publisher: Springer

Book in our database since 2019-01-05T07:52:04+00:00 (London)
Detail page last modified on 2023-05-05T09:12:55+01:00 (London)
ISBN/EAN: 9811094950

ISBN - alternate spelling:
981-10-9495-0, 978-981-10-9495-8
Alternate spelling and related search-keywords:
Book author: fan, tian
Book title: mathematical theory elasticity

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Information from Publisher

Author: Tian-You Fan
Title: Springer Series in Materials Science; Mathematical Theory of Elasticity of Quasicrystals and Its Applications
Publisher: Springer; Springer Singapore
452 Pages
Publishing year: 2018-06-15
Singapore; SG
Printed / Made in
Language: English
213,99 € (DE)
219,99 € (AT)
236,00 CHF (CH)
POD
XVI, 452 p. 103 illus., 40 illus. in color.

BC; Hardcover, Softcover / Physik, Astronomie/Atomphysik, Kernphysik; Physik der kondensierten Materie (Flüssigkeits- und Festkörperphysik); Verstehen; Physik; 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; Condensed Matter Physics; Solid Mechanics; Mathematical Physics; Characterization and Analytical Technique; Soft and Granular Matter; Maschinenbau: Festkörpermechanik; Mathematische Physik; Werkstoffprüfung; BB

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.

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.

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.

Presents the theoretical system and methodology of elasticity of solid quasicrystals and soft-matter quasicrystals Pays special attention on hydrodynamics, the Poisson bracket method and application in deriving the hydrodynamic equations for soft-matter quasicrystals Provides an in-depth and innovational presentation on the mathematical derivations and solutions Includes many results in new area such as plasticity, elasto-/hydrodynamics and the fracture theory of quasicrystals Includes supplementary material: sn.pub/extras