Mathematical Theory of Elasticity of Quasicrystals and Its Applications

1. Crystals
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2. Framework of Crystal Elasticity
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3. Quasicrystal and Its Properties
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4. The Physical Basis of Elasticity of Solid Quasicrystals
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5. Elasticity Theory of One-Dimensional Quasicrystals and Simplification
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6. Elasticity of Two-Dimensional Quasicrystals and Simplification
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7. Application I—Some Dislocation and Interface Problems and Solutions in One- and Two-Dimensional Quasicrystals
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8. Application II—Solutions of Notch and Crack Problems of One- and Two-Dimensional Quasicrystals
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9. Theory of Elasticity of Three-Dimensional Quasicrystals and Its Applications
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10. Phonon-Phason Dynamics and Defect Dynamics of Solid Quasicrystals
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11. Complex Analysis Method for Elasticity of Quasicrystals
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12. Variational Principle of Elasticity of Quasicrystals, Numerical Analysis and Applications
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13. Some Mathematical Principles on Solutions of Elasticity of Quasicrystals
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14. Nonlinear Behaviour of Quasicrystals
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15. Fracture Theory of Solid Quasicrystals
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16. Hydrodynamics of Solid Quasicrystals
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17. Remarkable Conclusion
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Keywords: Physics, Solid State Physics, Continuum Mechanics and Mechanics of Materials, Mathematical Applications in the Physical Sciences, Characterization and Evaluation of Materials, Soft and Granular Matter, Complex Fluids and Microfluidics