Numerical homogenization of fibrous composites with equivalent inclusion method
Résumé
The equivalent inclusion method is proposed for the homogenization of fibrous composites, as an alternative to costly full-field methods and less accurate mean-field or effective-field approaches. General methodology was presented in our previous study [14], where a discretized polarization field in fibers was introduced, which took advantage of inhomogeneity slenderness. Here, a method for computing apparent 3d conductivities in periodic conditions is proposed and implemented for numerical homogenization of fibrous composites. A wide range of aspect ratios and volume fractions are investigated, and the data are used for providing analytical formulas which fit the curves.
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