Effect of phason on adhesion behavior of one-dimensional hexagonal quasicrystal

Abstract

Different from traditional crystals, the elastic behavior of quasicrystals (QCs) is described by both phonon and phason fields. As an additional energy dissipation channel, it is significant to research how the phason affects the adhesive contact or whether it can adjust the adhesion behavior in QCs. Based on the classical Johnson–Kendall–Roberts (JKR) model and Maugis–Dugdale (M−D) model, this paper establishes the adhesive contact theories of a one-dimensional (1D) hexagonal QC half-space indented by a conical punch. By applying the superposition principle and the Griffith energy balance criterion, the significant adhesive contact physical quantities such as distributions of the normal stresses and displacements at the surface, energy release rate, indentation depth, contact radius, pull-out force, and indentation loading for both adhesive contact models are obtained analytically. Combined with related experiment, the analytical solutions of this paper are verified. The numerical results indicate that the influence of the phason field can be ignored in the JKR model when there is no initial phason displacement, whereas it is pronounced in the M−D model particularly when the contact radius falls within a small range. Furthermore, it is found that not only the adhesive behavior of 1D hexagonal QC can be controlled by changing the cone angle of the conical punch, but the initial phason displacement can also affect the adhesive contact. Overall, the findings presented in this paper offer theoretical support for the adhesion experiments of QCs and provide valuable insights for designing smart adhesive materials.