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Homogenization of woven materials

Rikte, Sten; Andersson, Michael LU and Kristensson, Gerhard LU (1999) In AEÜ - International Journal of Electronics and Communications 53(5). p.261-271
Abstract
The effective electric and magnetic material properties of a complex (two-component) mixture are addressed. The mixture is periodic in two directions and has a finite thickness in the third direction. Specifically, the explicit problem of finding the effective electric parameters for slab that has been reinforced by a layer (or several layers) of glass fiber is investigated. The homogenization problem is solved by a series expansion (multiple-scale technique), and the numerical solution of the two-dimensional vector-valued problem is found by a FEM formulation. The FEM problem is non-standard due to the periodic boundary conditions of the problem. Several numerical computations show that the most important parameter of the effective... (More)
The effective electric and magnetic material properties of a complex (two-component) mixture are addressed. The mixture is periodic in two directions and has a finite thickness in the third direction. Specifically, the explicit problem of finding the effective electric parameters for slab that has been reinforced by a layer (or several layers) of glass fiber is investigated. The homogenization problem is solved by a series expansion (multiple-scale technique), and the numerical solution of the two-dimensional vector-valued problem is found by a FEM formulation. The FEM problem is non-standard due to the periodic boundary conditions of the problem. Several numerical computations show that the most important parameter of the effective permittivity is the volume fraction of the guest material in the host. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
AEÜ - International Journal of Electronics and Communications
volume
53
issue
5
pages
261 - 271
publisher
Gustav Fischer Verlag
external identifiers
  • scopus:0033285594
ISSN
1618-0399
language
English
LU publication?
yes
id
427f01e0-c934-47c9-8d96-bf4ef1b581f4 (old id 144427)
date added to LUP
2007-07-10 09:32:38
date last changed
2017-11-19 03:39:42
@article{427f01e0-c934-47c9-8d96-bf4ef1b581f4,
  abstract     = {The effective electric and magnetic material properties of a complex (two-component) mixture are addressed. The mixture is periodic in two directions and has a finite thickness in the third direction. Specifically, the explicit problem of finding the effective electric parameters for slab that has been reinforced by a layer (or several layers) of glass fiber is investigated. The homogenization problem is solved by a series expansion (multiple-scale technique), and the numerical solution of the two-dimensional vector-valued problem is found by a FEM formulation. The FEM problem is non-standard due to the periodic boundary conditions of the problem. Several numerical computations show that the most important parameter of the effective permittivity is the volume fraction of the guest material in the host.},
  author       = {Rikte, Sten and Andersson, Michael and Kristensson, Gerhard},
  issn         = {1618-0399},
  language     = {eng},
  number       = {5},
  pages        = {261--271},
  publisher    = {Gustav Fischer Verlag},
  series       = {AEÜ - International Journal of Electronics and Communications},
  title        = {Homogenization of woven materials},
  volume       = {53},
  year         = {1999},
}