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Homogenization of woven materials

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Author

Summary, in English

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.

Publishing year

1998

Language

English

Publication/Series

Technical Report LUTEDX/(TEAT-7074)/1-33/(1998)

Document type

Report

Publisher

[Publisher information missing]

Topic

  • Other Electrical Engineering, Electronic Engineering, Information Engineering
  • Electrical Engineering, Electronic Engineering, Information Engineering

Status

Published

Report number

TEAT-7074

Research group

  • Electromagnetic theory