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Size-dependent effective properties of anisotropic piezoelectric composites with piezoelectric nano-particles

机译：具有压电纳米粒子的各向异性压电复合材料的尺寸依赖性有效性能

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摘要

Based on the electro-elastic surface/interface theory, the size-dependent effective piezoelectric and dielectric coefficients of anisotropic piezoelectric composites that consist of spherically piezoelectric inclusions under a uniform electric field are investigated, and the analytical solutions for the elastic displacement and electric potentials are derived. With consideration of the coupling effects of elasticity, permittivity and piezoelectricity, the effective field method is introduced to derive the effective dielectric and piezoelectric responses in the dilute limit. The numerical examples show that the effective dielectric constant exhibits a significant variation due to the surface/interface effect. The dielectric property of the surface/interface displays greater effect than the piezoelectric property, and the elastic property shows little effect. A comparison with the existing results validates the present approach.
机译：基于电弹性表面/界面理论，研究了在均匀电场下由球形压电夹杂物组成的各向异性压电复合材料的尺寸相关有效压电和介电系数，并给出了弹性位移和电势的解析解。派生。考虑到弹性，介电常数和压电的耦合效应，引入了有效场法，以求出稀释极限下的有效介电和压电响应。数值示例表明，由于表面/界面效应，有效介电常数表现出显着的变化。表面/界面的介电性质显示出比压电性质更大的作用，而弹性性质显示出很小的作用。与现有结果的比较验证了本方法。

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