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A general treatment of three‐dimensional elasticity of quasicrystals by an operator method
Author(s) -
Gao Yang,
Zhao BaoSheng
Publication year - 2006
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.200541400
Subject(s) - quasicrystal , elasticity (physics) , operator (biology) , mathematics , mathematical analysis , linear elasticity , physics , geometry , chemistry , finite element method , thermodynamics , biochemistry , repressor , gene , transcription factor
By an operator method, the general solution of three‐dimensional elasticity of quasicrystals is given constructively with some displacement functions, and its completeness is proved at the same time. Nonuniqueness and the scope of nonuniqueness of the general solution are also pointed out. The method used in the paper extends work from elasticity to quasicrystals elasticity. As two special cases, two‐dimensional dodecagonal quasicrystal and one‐dimensional hexagonal QCs are considered, and the general solutions based on the operator method are presented. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)