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

Research output: Contribution to journalArticle

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.

Details

Authors
Organisations
External organisations
  • Swedish Defense Research Agency
  • University of Utah
  • Institut Fresnel
Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Mathematics

Keywords

  • Compactness, Cut-and-projection, Electrostatics, Quasiperiodic composites, Two-scale convergence
Original languageEnglish
Pages (from-to)1101-1106
JournalMathematical Methods in the Applied Sciences
Volume41
Issue number3
Early online date2017 Feb 14
Publication statusPublished - 2018 Feb
Publication categoryResearch
Peer-reviewedYes