Adhesion difference between piezoelectric quasicrystals and conventional piezoelectric materials

Abstract

Unlike conventional piezoelectric materials, quasicrystals (QCs) exhibit piezoelectric properties governed by both phason and phonon fields. As smart parts shrink to the micro-nano scale, surface adhesion becomes significant. To examine the difference of piezoelectric QCs in adhesive behavior compared with conventional piezoelectric materials, this study firstly establishes frictionless Johnson-Kendall-Roberts (JKR) and Maugis-Dugdale (M-D) models for a two-dimensional hexagonal piezoelectric quasicrystal (2D HPQC) half-space indented by a rigid conical indenter (electrically conducting or insulating). Using the superposition principle and Griffith’s energy balance, key adhesive contact parameters are derived analytically. The results of this study are verified by reducing the models to classical piezoelectricity cases reported in the literature. Numerical results demonstrate that adjusting the cone angle and electrical potential influences the adhesive contact behavior of 2D HPQC. Most significantly, the analysis indicates that the adhesive behavior of 2D HPQC shows little difference compared to corresponding results from the conventional piezoelectric framework, as modeled by extended JKR and M-D theories. This work demonstrates that conventional piezoelectric contact theories are sufficient for modeling the adhesion behavior of 2D HPQC for given the specified material coefficients, thereby offering a critical simplification for the design and analysis of QCs-based devices.

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