Overview
- 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
Part of the book series: Springer Series in Materials Science (SSMATERIALS, volume 246)
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Table of contents (17 chapters)
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Front Matter
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Back Matter
Keywords
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.
Reviews
Authors and Affiliations
About the author
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.
Bibliographic Information
Book Title: Mathematical Theory of Elasticity of Quasicrystals and Its Applications
Authors: Tian-You Fan
Series Title: Springer Series in Materials Science
DOI: https://doi.org/10.1007/978-981-10-1984-5
Publisher: Springer Singapore
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Science Press and Springer Science+Business Media Singapore 2016
Hardcover ISBN: 978-981-10-1982-1Published: 30 September 2016
Softcover ISBN: 978-981-10-9495-8Published: 15 June 2018
eBook ISBN: 978-981-10-1984-5Published: 20 September 2016
Series ISSN: 0933-033X
Series E-ISSN: 2196-2812
Edition Number: 2
Number of Pages: XVI, 452
Number of Illustrations: 63 b/w illustrations, 40 illustrations in colour
Additional Information: Jointly published with Science Press, Beijing, China
Topics: Solid State Physics, Solid Mechanics, Mathematical Applications in the Physical Sciences, Characterization and Evaluation of Materials, Soft and Granular Matter, Complex Fluids and Microfluidics