带梯度涂层球形复合介质的有效非线性交流电响应

Effective AC Response of Nonlinear Spherical Composite with Gradient Coatings

本文利用摄动展开方法,研究在外加交流电场Ea=E1sin(ωt)+E3sin(3ωt)作用下,由球形带梯度涂层杂质颗粒随机嵌入基质所形成的非线性复合介质的有效非线性交流电响应.分别给出复合介质在杂质核、涂层及基质区域的电势解,并在低杂质浓度下给出复合介质有效的非线性交流电响应以及它们之间的关系.

In this paper by using the perturbation method, effective nonlinear AC response of the nonlinear composite is investigated under the action of an external AC electric field Ea =E, sin （ωt） ＋ E3 sin （3ωt） ,which is formed by spherical inclusions with gradient coatings randomly embedded in a host medium. The local potential distributions of composites are derived in the inclusion core particle, coated shell layer material and host regions. All the effective nonlinear AC responses of the composites are obtained in a dilute limit. Moreover, the relationship between the nonlinear effective response are also given.