Abstract
Starting from Chap. 4, we studied several mathematical models of the elasticity of quasicrystals and gave different kinds of solutions.
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References
Fan T Y, Mai Y W, 2004, Elasticity theory, fracture mechanics and some relevant thermal properties of quasicrystalline materials. Appl. Mech. Rev., 57(5), 325-344.
Courant R and Hilbert D, 1955, Methods of Mathematical Physics, Interscience Publisher Inc., New York.
Ying L A, 1998, Theory of Finite Element, Klower, Amsterdan.
Jiang L S, 1984, Finite Element Foundation, High Education Press, Beijing (in Chinese).
Guo L H and Fan T Y, 2007, Solvability on boundary-value problems of elasticity of three-dimensional quasicrystals, Applied Mathematics and Mechanics, 28(8), 1061-1070.
Fikera G., 1974, Existence Theorems of Elasticity Theory. World Press, Moscow (in Russian).
Kondrat’eb W A, Oleinik O A, 1988, Korn Inequality of Boundary Value Problems for Systems of Theory of Elasticity in Boundless Region. UMN Press, Moscow (in Russian).
Kondrat’eb W A, Oleinik O A, 1988, Boundary-value problems for the systems of elasticity in unbounded domains, Korn’s inequalities, Russian Math Surveys, 43(5):65-119.
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Fan, TY. (2016). Some Mathematical Principles on Solutions of Elasticity of Quasicrystals. In: Mathematical Theory of Elasticity of Quasicrystals and Its Applications. Springer Series in Materials Science, vol 246. Springer, Singapore. https://doi.org/10.1007/978-981-10-1984-5_13
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DOI: https://doi.org/10.1007/978-981-10-1984-5_13
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