双各向异性均匀化复合材料扩展强性质涨落理论的收敛性
On convergence of the extended strong-property-fluctuation theory for bianisotropic homogenized composites
摘要:
强性质涨落理论(SPFT)提供了一种估计均匀化复合材料(HCM)有效本构参数的复杂方法,它考虑了组分颗粒的统计分布。我们提出了一个扩展版本的三阶SPFT中的组件粒子表示为非零体积的去极化区域。数值结果提供了一个双各向异性均匀化的情况下,其中的HCM是法拉第手征介质。因此,在长波长范围内证明了扩展SPFT在二阶近似水平的收敛性。
英文摘要:
The strong-property-fluctuation theory (SPFT) provides a sophisticated means of estimating the effective constitutive parameters of a homogenized composite material (HCM), which takes account of the statistical distribution of the component particles. We present an extended version of the third-order SPFT in which the component particles are represented as depolarization regions of nonzero volume. Numerical results are provided for a bianisotropic homogenization scenario wherein the HCM is a Faraday chiral medium. Thereby, convergence of the extended SPFT at the second-order level of approximation is demonstrated within the long-wavelength regime.
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