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Journal Articles Journal of Computational Physics Year : 2023

Assessment of the equivalent inclusion method for the numerical homogenization of fibrous composites

S. Brisard
Karam Sab
  • Function : Author

Abstract

For the homogenization of fiber composites, the equivalent inclusion method is proposed as an alternative to costly full-field methods and less accurate mean-field or effective-field approaches. We take advantage of the slenderness of the inhomogeneities to overcome the “curse of dimensionality” that was evidenced previously for this method. The resulting method is shown on a number of examples to be both accurate and computationally efficient. It is also extremely versatile, as it applies to a large variety of physical problems (beyond electric conductivity considered here).
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hal-03973658 , version 1 (13-02-2023)

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Antoine Martin, S. Brisard, Stéphane Deleville, Karam Sab. Assessment of the equivalent inclusion method for the numerical homogenization of fibrous composites. Journal of Computational Physics, 2023, 477, pp.111943. ⟨10.1016/j.jcp.2023.111943⟩. ⟨hal-03973658⟩
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