Mathematical Theory of Elasticity of Quasicrystals and Its Applications

• Κύριος συγγραφέας: Fan, Tianyou (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011.
• Θέματα: Engineering.; Applied mathematics.; Engineering mathematics.; Condensed matter.; Continuum mechanics.; Continuum Mechanics and Mechanics of Materials.; Condensed Matter Physics.; Applications of Mathematics.

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 equation...

Πίνακας περιεχομένων:

• Preface
• Crystals
• Framework of the classical theory of elasticity
• Quasicrystals and their properties
• Physical basis of the elasticity of quasicrystals
• Elasticity theory of one-dimensional quasicrystals and simplification
• Elasticity theory of two-dimensional quaiscrystals and simplification
• Application I--Some dislocation problems and solutions of one- and two-dimensional quasicrystals
• Application II--Some notch and crack problems and solutions of one- and two-dimensional quasicrystals
• Elasticity of three-dimensional quasicrystals and applications
• Elastodynamics of quasicrystals
• Complex variable function method
• Variational principles, numerical method and solutions of two-dimensional quasicrystals
• Some mathematical principles on solutions of elasticity of quasicrystals
• Nonlinear elasticity and plasticity
• Fracture theory of quasicrystals
• Possible applications of elasticity to the study of specific heat of quasicrystals.