Governing equations and general solutions of plane elasticity of cubic quasicrystals

By introducing a displacement function, huge numbers of complicated equations of plane elasticity of cubic quasicrystals are simplified to an eighth-order partial differential governing equation, and then general solutions are established through an operator method. By taking a decomposition and superposition technique, the general solutions are further simplified in four cases in terms of four second-order displacement functions. (C) 2009 Elsevier B.V. All rights reserved.