Homogenization of woven materials
(1998) In Technical Report LUTEDX/(TEAT-7074)/1-33/(1998)- Abstract
- The effective electric and magnetic material properties of a complex (twocomponent)
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... (More) - The effective electric and magnetic material properties of a complex (twocomponent)
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. The reflection and transmission
properties of the homogenized material are also addressed. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/530450
- author
- Rikte, Sten LU ; Andersson, Michael LU and Kristensson, Gerhard LU
- organization
- publishing date
- 1998
- type
- Book/Report
- publication status
- published
- subject
- in
- Technical Report LUTEDX/(TEAT-7074)/1-33/(1998)
- pages
- 33 pages
- publisher
- [Publisher information missing]
- report number
- TEAT-7074
- language
- English
- LU publication?
- yes
- additional info
- Published version: Arkiv für Elektronik und Übertragungstechnik (AEÜ), 53(5), 261-271, 1999.
- id
- 44888015-ed4b-4ee4-8db0-0ca18ecbf484 (old id 530450)
- date added to LUP
- 2016-04-04 13:59:54
- date last changed
- 2025-04-04 14:52:29
@techreport{44888015-ed4b-4ee4-8db0-0ca18ecbf484,
abstract = {{The effective electric and magnetic material properties of a complex (twocomponent)<br/><br>
mixture are addressed. The mixture is periodic in two directions<br/><br>
and has a finite thickness in the third direction. Specifically,the explicit problem<br/><br>
of finding the effective electric parameters for slab that has been reinforced<br/><br>
by a layer (or several layers) of glass fiber is investigated. The homogenization<br/><br>
problem is solved by a series expansion (multiple-scale technique),and<br/><br>
the numerical solution of the two-dimensional vector-valued problem is found<br/><br>
by a FEM formulation. The FEM problem is non-standard due to the periodic<br/><br>
boundary conditions of the problem. Several numerical computations show<br/><br>
that the most important parameter of the effective permittivity is the volume<br/><br>
fraction of the guest material in the host. The reflection and transmission<br/><br>
properties of the homogenized material are also addressed.}},
author = {{Rikte, Sten and Andersson, Michael and Kristensson, Gerhard}},
institution = {{[Publisher information missing]}},
language = {{eng}},
number = {{TEAT-7074}},
series = {{Technical Report LUTEDX/(TEAT-7074)/1-33/(1998)}},
title = {{Homogenization of woven materials}},
url = {{https://lup.lub.lu.se/search/files/6255774/624905.pdf}},
year = {{1998}},
}