Abstract
The appearance of unusual internal variables—phason degrees—in quasicrystals challengesthe traditional theory of condensed matter in macro- as well as in microscopy, especially fora dynamic process. The elasto-/hydrodynamic model for quasicrystals is suggested andinvestigated. With this model and the finite difference method the wave propagation anddiffusion and their interaction through a cracked sample are revealed in this study. Eventhough the phason degrees of freedom present the diffusion nature according to thepresent model, this influences the dynamic process greatly. The influences aredifferent for dynamic initiation of crack growth and fast crack propagation; forthe latter the nonlinear effect—moving boundary effect—is evident as well asthe wave propagation effect, diffusion effect and phonon–phason coupling effect.
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