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.

中文翻译：

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一种具有涂层纳米纤维的压电纳米复合材料中 SH 波有效动力学性能的解析方法


本文利用Gurtin-Murdoch表面/界面弹性理论、弹性波理论和微观力学方法建立了考虑界面效应的纳米涂层纤维复合材料的广义自洽模型，并分析了反面剪切电弹性波在无限纳米压电材料中的传播。基于波函数展开法，描述了复合材料中各相介质的位移势和电势函数，得到了位移、电势、应力和电位移的函数表达式。压电增强复合材料的动态有效剪切模量是通过满足电弹性耦合表面/界面理论的边界条件和多重散射公式得到的。讨论了涂层厚度、涂层材料参数、界面剪切模量和压电性能对不同入射频率下动态有效剪切模量的影响。结果表明：有效剪切模量随频率的增加而明显波动;有效剪切模量随着界面剪切模量和压电常数的增加而增加，并且对界面剪切模量的变化更敏感。与内界面相比，有效剪切模量受涂层外表面界面效应的影响更大，界面力学性能的影响随着涂层刚度的增加而减小。涂层材料的参数越大，动态有效剪切模量越大，界面效应的影响越小。