Governing equations and general solutions of plane elasticity of one-dimensional quasicrystals

摘要

Plane elasticity theory of one-dimensional quasicrystals dealing with all point groups is investigated systematically. The governing equations of elastic fields and their general solutions are derived by the complex variable functions method. As an example, the elastic fields of a straight dislocation along the quasiperiodic axis of an orthorhombic quasicystal are calculated. The relevant singularity of the stress field for the dislocation in the quasicrystals is also discussed. (C) 2004 Elsevier Ltd. All rights reserved.