A general treatment of three-dimensional elasticity of quasicrystals by an operator method

作者:Gao Yang*; Zhao Bao Sheng
来源:Physica Status Solidi (B) Basic Research, 2006, 243(15): 4007-4019.
DOI:10.1002/pssb.200541400

摘要

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.