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Mathematical Theory of Elasticity of Quasicrystals and Its Applications

Previously published in hardcover
BuchKartoniert, Paperback
452 Seiten
Englisch
Springererschienen am15.06.20182. Aufl.
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.mehr
Verfügbare Formate
BuchGebunden
EUR213,99
BuchKartoniert, Paperback
EUR213,99
E-BookPDF1 - PDF WatermarkE-Book
EUR213,99

Produkt

KlappentextThis 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.
Details
ISBN/GTIN978-981-10-9495-8
ProduktartBuch
EinbandartKartoniert, Paperback
Verlag
Erscheinungsjahr2018
Erscheinungsdatum15.06.2018
Auflage2. Aufl.
Seiten452 Seiten
SpracheEnglisch
Gewicht712 g
IllustrationenXVI, 452 p. 103 illus., 40 illus. in color.
Artikel-Nr.48204741

Inhalt/Kritik

Inhaltsverzeichnis
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.mehr
Kritik
"The book is up to date and its content is sufficient for the exposition and applications under the mechanical effects in the mathematical elasticity of quasicrystals, and hence it could serve as a perfect text for senior undergraduate or first-year graduate students of engineering and applied sciences. ... the book is highly recommendable to everyone who is already working on the subject or just starting." (M. Cengiz Dökmeci, zbMATH 1359.74001, 2017)mehr

Schlagworte

Autor

After study in Peking University, Tianyou Fan has begun his academic career in Beijing Institute of Technology, as Assistant and Lecturer (1963-1979), Associate Professor (1980-1985) and Professor (1986-present). He was several times an Alexander von Humboldt Research Fellow at the Universities of Kaiserlautern and Stuttgart, and held Visiting Professorships at the Universities of Waterloo, Tokyo and South Carolina etc.

Fan is nominated member of the 9th and 10th National Committee of the People´s Political Consultative Conference (1998-2007), and working as member of the American Mathematical Society, and the Association of Applied Mathematics and Mechanics of Germany. He is the Associate Editor of Applied Mechanics, Reviews of American Society of Mechanical Engineers, Reviewer of Mathematical Reviews of American Mathematical Society. He has published several monographs, including: Foundation of Fracture Mechanics (1978, in Chinese), Introduction to the Theory of Fracture Dynamics (1990, in Chinese), Mathematical Theory of Elasticity of Quasicrystals and Its Applications 1st edition (1999 in Chinese, 2010 in English), Foundation of Fracture Theory (2003 in Chinese), Fracture Dynamics: Principle and Applications (2006,in Chinese), Mathematical Theory of Elasticity and Relevant Topics of Solid and Soft-Matter Quasicrystals (2014, in Chinese), Foundation of Defect and Fracture Theory of Solid and Soft Matter (2014, in Chinese). Recipient: the first grade prize in Science and Technology Prize of the Defense Science, Technology and Industrial Committee of China in 1999, China Book Prize in 1991, 2012, Outstanding Scientific Monograph Prize of Educational Committee of China in 1992, Nature Science Prize of Educational Ministry of China in 2007.