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Article Dans Une Revue Comptes Rendus. Mécanique Année : 2022

FFT-based computation of homogenized interface parameters

Résumé

The homogenization of microstructured interfaces requires solving specific problems posed on semi-infinite bands. To tackle these problems with existing FFT-based algorithms, a reformulation of these band problems into fully periodic cell problems, posed on bounded domains, is established. This is performed thanks to a Dirichlet-to-Neumann operator and a decomposition of the solution involving a boundary corrector, in a Fourier framework. A fixed-point algorithm and an example choice of corrector are proposed. Comparisons with other computational methods support this proposition.
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hal-03714692 , version 1 (05-07-2022)

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Rémi Cornaggia, Marie Touboul, Cédric Bellis. FFT-based computation of homogenized interface parameters. Comptes Rendus. Mécanique, 2022, 350 (G2), pp.297-307. ⟨10.5802/crmeca.119⟩. ⟨hal-03714692⟩
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