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Book Cover
E-book
Author Fan, Tianyou, author

Title Mathematical theory of elasticity of quasicrystals and its applications / Tianyou Fan
Published Berlin ; Heidelberg : Springer ; Beijing : Science Press, ©2011

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Description 1 online resource (xii, 363 pages) : illustrations (some color)
Series Springer series in materials science ; Volime 246
Springer series in materials science ; v. 246.
Contents Chapter 1. Crystals -- Chapter 2. Framework of the classical theory of elasticity -- Chapter 3. Quasicrystal and its properties -- Chapter 4. The physical basis of elasticity of quasicrystals. -- Chapter 5. Elasticity theory of one-dimensional quasicrystals and simplification -- Chapter 6. Elasticity of two-dimensional quasicrystals and simplification -- Chapter 7. Application I: Some dislocation and interface problems and solutions in one- and two-dimensional quasicrystals -- Chapter 8. Application II: Solutions of notch and crack problems of one-and two-dimensional quasicrystals -- Chapter 9. Theory of elasticity of three-dimensional quasicrystals and its applications -- Chapter 10. Dynamics of elasticity and defects of quasicrystals -- Chapter 11. Complex variable function method for elasticity of quasicrystals -- Chapter 12. Variational principle of elasticity of quasicrystals, numerical analysis and applications -- Chapter 13. Some mathematical principles on solutions of elasticity of quasicrystals -- Chapter 14. Nonlinear behaviour of quasicrystals -- Chapter 15. Fracture theory of quasicrystals -- Chapter 16. Remarkable conclusion -- Major Appendix. On some mathematical materials. Appendix I . Outline of complex variable functions and some additional calculations. Appendix II . Dual integral equations and some additional calculations
Summary This inter-disciplinary work covering the continuum mechanics of novel materials, condensed matter physics and partial differential equations discusses the mathematical theory of elasticity of quasicrystals (a new condensed matter) and its applications by setting up new partial differential equations of higher order and their solutions under complicated boundary value and initial value conditions. The new theories developed here dramatically simplify the solving of complicated elasticity equation systems. Large numbers of complicated equations involving elasticity are reduced to a single or a
Analysis engineering
mechanica
mechanics
materialen
materials
fysica
physics
toegepaste wiskunde
applied mathematics
Engineering (General)
Techniek (algemeen)
Bibliography Includes bibliographical references and index
Notes Print version record
Subject Quasicrystals -- Elastic properties
Quasicrystals -- Mathematics
Ingénierie.
Mathematics
Mechanics
Mechanics, Applied
Form Electronic book
ISBN 9783642146435
3642146430
9811019843
9789811019845