Analytic solution of quasicrystal microsphere considering the thermoelectric effect and surface effect in the elastic matrix

The incorporation of the quasicrystalline phase into the metal matrix offers a wide range of potential applications in particle-reinforced metal-matrix composites. The analytic solution of the piezoelectric quasicrystal (QC) microsphere considering the thermoelectric effect and surface effect contained in the elastic matrix is presented in this study. The governing equations for the QC microsphere in the matrix subject to the external electric loading are derived based on the nonlocal elastic theory, electro-elastic interface theory, and eigenvalue method. A comparison between the existing results and the finite-element simulation validates the present approach. Numerical examples reveal the effects of temperature variation, nonlocal parameters, surface properties, elastic coefficients, and phason coefficients on the phonon, phason, and electric fields. The results indicate that the QC microsphere enhances the mechanical properties of the matrix. The results are useful for the design and understanding of the characterization of QCs in micro-structures.