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Homogenization of woven materials

Publiceringsår: 1998
Språk: Engelska
Publikation/Tidskrift/Serie: Technical Report LUTEDX/(TEAT-7074)/1-33/(1998)
Volym: TEAT-7074
Dokumenttyp: Rapport
Förlag: [Publisher information missing]


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.


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


  • Electromagnetic theory-lup-obsolete

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