An analytical method for effective dynamic properties of SH wave in piezoelectric nanocomposites with coated nano-fibers

In this paper, a generalized self-consistent model of nanocoated fiber composite material considering interface effect is established by using the Gurtin-Murdoch surface/interface elasticity theory, elastic wave theory and micromechanics methods, and the propagation of anti-plane shear electroelastic wave in infinite nano-piezoelectric material is analyzed. Based on the wave function expansion method, the displacement potential and electric potential functions of each phase medium in composite materials are described, and the function expressions of displacement, electric potential, stress and electric displacement are obtained. The dynamic effective shear modulus of piezoelectric reinforced composites is obtained by satisfying the boundary conditions of the electroelastic coupling surface/interface theory and the multiple scattering formulas. The effects of coating thickness, coating material parameters, interfacial shear modulus and piezoelectric properties on dynamic effective shear modulus at different incident frequencies are discussed. The results show that the effective shear modulus fluctuates obviously with the increase of frequency. The effective shear modulus increases with the increase of interfacial shear modulus and piezoelectric constant, and is more sensitive to the change of interfacial shear modulus. The effective shear modulus is more affected by the interface effect on the outer surface of the coating than the inner interface, and the effect of interface mechanical properties decreases with the increase of coating stiffness. The larger the parameter of the coating material, the larger the dynamic effective shear modulus and the smaller the influence of the interface effect. © 2024 Elsevier Inc.