Two‐scale cut‐and‐projection convergence; homogenization of quasiperiodic structures

descriptionPublicationkeyboard_double_arrow_right Article 14 Feb 2017 France English Publisher:WileyJournal:Mathematical Methods in the Applied Sciences, volume 41, pages 1,101-1,106 (issn: 0170-4214, eissn: 1099-1476,

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Authors: Wellander, Niklas; Guenneau, Sébastien; Cherkaev, Elena;

doi: 10.1002/mma.4345

Two‐scale cut‐and‐projection convergence; homogenization of quasiperiodic structures

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Abstract

We demonstrate how the problem of finding the effective property of quasiperiodic constitutive relations can be simplified to the periodic homogenization setting by transforming the original quasiperiodic material structure to a periodic heterogeneous material in a higher dimensional space. The characterization of two‐scale cut‐and‐projection convergence limits of partial differential operators is presented. Copyright © 2017 John Wiley & Sons, Ltd.

Country

France

Related Organizations

Swedish Defence Research Agency
Sweden
French National Centre for Scientific Research
France
Aix-Marseille University
France
Institut Fresnel
France
Lund University
Sweden

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Keywords

[PHYS.MECA.SOLID] Physics [physics]/Mechanics [physics]/Solid mechanics [physics.class-ph], Second-order elliptic equations, [SPI.OPTI] Engineering Sciences [physics]/Optics / Photonic, quasiperiodic composites, two-scale convergence, [PHYS.MECA.ACOU] Physics [physics]/Mechanics [physics]/Acoustics [physics.class-ph], Homogenization in context of PDEs; PDEs in media with periodic structure

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