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

Wellander, Niklas LU ; Guenneau, Sebastién and Cherkaev, Elena (2017) In Mathematical Methods in the Applied Sciences
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.

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author
organization
publishing date
type
Contribution to journal
publication status
epub
subject
keywords
Compactness, Cut-and-projection, Electrostatics, Quasiperiodic composites, Two-scale convergence
in
Mathematical Methods in the Applied Sciences
publisher
John Wiley & Sons
external identifiers
  • scopus:85013224761
ISSN
0170-4214
DOI
10.1002/mma.4345
language
English
LU publication?
yes
id
9d869437-8166-4a6e-bc80-d93aa529037b
date added to LUP
2017-03-01 14:12:47
date last changed
2018-01-07 11:53:34
@article{9d869437-8166-4a6e-bc80-d93aa529037b,
  abstract     = {<p>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.</p>},
  author       = {Wellander, Niklas and Guenneau, Sebastién and Cherkaev, Elena},
  issn         = {0170-4214},
  keyword      = {Compactness,Cut-and-projection,Electrostatics,Quasiperiodic composites,Two-scale convergence},
  language     = {eng},
  month        = {02},
  publisher    = {John Wiley & Sons},
  series       = {Mathematical Methods in the Applied Sciences},
  title        = {Two-scale cut-and-projection convergence; homogenization of quasiperiodic structures},
  url          = {http://dx.doi.org/10.1002/mma.4345},
  year         = {2017},
}