On the propagation of plane waves in cubic quasicrystal plates with surface effects

In this paper, an exact solution of propagation characteristics of plane waves in an infinite cubic quasicrystal plate with surface effects has been derived. Based on the energy density of quasicrystal elastic deformation, the continuum theory of surface elasticity and new boundary conditions for quasicrystal surface layers are derived, from which we obtain an explicit closed form for dispersion relations of quasicrystal plates with the advanced boundary-value problems. The numerical results indicate that the overall stiffness of the quasicrystal plates strengthens with increasing surface elastic parameters and surface residual stresses, resulting in a continuous decrease in the phase velocity.(c) 2023 Elsevier B.V. All rights reserved.