MATHEMATICAL THEORY OF ELASTICITY AND DEFECTS OF QUASICRYSTALS

This paper gives a review on the basic concepts and the basic frame of the theory of elasticity for quasicrystals, then, the theoretical system of the elasticity of some kinds of one-, two- and three-dimensional quasicrystals are discussed. To solve boundary value problems or initial-boundary value problems, the methodology of quasicrystal elasticity should be developed. Physicists used the Green function method in treating dislocation problems of quasicrystals. A decomposition and superposition procedure w...