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Homogenization of woven materials

Rikte, Sten LU ; Andersson, Michael LU and Kristensson, Gerhard LU (1998) In Technical Report LUTEDX/(TEAT-7074)/1-33/(1998) TEAT-7074.
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)
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Book/Report
publication status
published
subject
in
Technical Report LUTEDX/(TEAT-7074)/1-33/(1998)
volume
TEAT-7074
pages
33 pages
publisher
[Publisher information missing]
language
English
LU publication?
yes
id
44888015-ed4b-4ee4-8db0-0ca18ecbf484 (old id 530450)
date added to LUP
2007-09-12 11:47:12
date last changed
2016-09-08 14:26:20
@misc{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},
  language     = {eng},
  pages        = {33},
  publisher    = {ARRAY(0x84e6650)},
  series       = {Technical Report LUTEDX/(TEAT-7074)/1-33/(1998)},
  title        = {Homogenization of woven materials},
  volume       = {TEAT-7074},
  year         = {1998},
}