Solvability on boundary-value problems of elasticity of three-dimensional quasicrystals |
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Authors: | Guo Li-hui Fan Tian-you |
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Institution: | School of Science, Beijing Institute of Technology, Beijing 100081, P. R. China |
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Abstract: | Weak solution (or generalized solution) for the boundary-value problems of partial differential equations of elasticity of 3D (three-dimensional) quasicrystals is given, in which the matrix expression is used. In terms of Korn inequality and theory of function space,we prove the uniqueness of the weak solution.This gives an extension of existence theorem of solution for classical elasticity to that of quasicrystals,and develops the weak solution theory of elasticity of 2D quasicrystals given by the second author of the paper and his students. |
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Keywords: | quasicrystal elasticity boundary-value problem weak solution solvability |
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