Titlebook: Mathematical Theory of Elasticity of Quasicrystals and Its Applications; Tianyou Fan Book 20111st edition Springer-Verlag Berlin Heidelber

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Variational principle of elasticity of quasicrystals, numerical analysis and applications,ue problems, these methods are extremely powerful, even capable of obtaining exact analytic solutions. In Chapter 14 and Major Appendix we will further develop the analytic method in studying some problems such as nonlinear deformation etc.

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for dislocations and cracks in various quasicrystal systems..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

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Application II: Solutions of notch and crack problems of one-and two-dimensional quasicrystals,, and the accumulation of dislocations will eventually lead to cracking of the material. Now let us study crack problems in quasicrystals that have both theoretical and practical value in the view of applications in future.

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