各向异性、立方非线性、均匀化纳米复合材料的非零体积退极化区
Depolarization regions of nonzero volume for anisotropic, cubically nonlinear, homogenized nanocomposites
摘要：
提出了一种基于强介电常数涨落理论（SPFT）的均质复合材料（HCM）本构参数估计方法。与均匀化的常规方法不同，本文中假设构成组分材料相的颗粒是小的，但不是消失的小。通过一个有代表性的数值例子说明了颗粒尺寸对HCM本构参数估计的影响。据观察，考虑到非零的颗粒尺寸，预测衰减和非线性增强有所减少。在这些方面，颗粒尺寸的影响是类似的，在bilocally-approximately SPFT的相关长度。
英文摘要：
An implementation of the strong-permittivity-fluctuation theory (SPFT) is presented in order to estimate the constitutive parameters of a homogenized composite material (HCM) which is both cubically nonlinear and anisotropic. Unlike conventional approaches to homogenization, the particles which comprise the component material phases are herein assumed to be small but not vanishingly small. The influence of particle size on the estimates of the HCM constitutive parameters is illustrated by means of a representative numerical example. It is observed that, by taking the nonzero particle size into consideration, attenuation is predicted and nonlinearity enhancement is somewhat diminished. In these respects, the effect of particle size is similar to that of correlation length within the bilocally-approximated SPFT.
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