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Article Dans Une Revue Modern Physics Letters A Année : 2020

Homogenization of quasiperiodic structures and two-scale cut-and-projection convergence

Stéphane Brule
Stefan Enoch
Sebastien Guenneau

Résumé

Quasiperiodic arrangements of the constitutive materials in composites result in effective properties with very unusual electromagnetic and elastic properties. The paper discusses the cut-and-projection method that is used to characterize effective properties of quasiperiodic materials. Characterization of cut-and-projection convergence limits of partial differential operators is presented, and correctors are established. We provide the proofs of the results announced in (Wellander et al., 2018) and give further examples. Applications to problems of interest in physics include electrostatic, elastostatic and quasistatic magnetic cases.
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hal-02399063 , version 1 (21-12-2021)

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Paternité - Pas d'utilisation commerciale

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Stéphane Brule, Stefan Enoch, Sebastien Guenneau. Homogenization of quasiperiodic structures and two-scale cut-and-projection convergence. Modern Physics Letters A, 2020, 384 (1), pp.126034. ⟨10.1016/j.physleta.2019.126034⟩. ⟨hal-02399063⟩
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