Inverse bounds for microstructural parameters of composite media derived from complex permittivity measurements

@article{Cherkaeva1998InverseBF,
  title={Inverse bounds for microstructural parameters of composite media derived from complex permittivity measurements},
  author={Elena Cherkaeva and Kenneth M. Golden},
  journal={Waves in Random Media},
  year={1998},
  volume={8},
  pages={437-450},
  url={https://api.semanticscholar.org/CorpusID:14497076}
}
  • E. CherkaevaK. Golden
  • Published 1 September 1998
  • Engineering, Materials Science, Physics
  • Waves in Random Media
Abstract Bounds on the volume fraction of the constituents in a two-component mixture are derived from measurements of the effective complex permittivity of the mixture, using the analyticity of the… 
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26 References

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A generalization of the bounds obtained by Wiener, Hashin and Shtrikman, and others is derived for complex permittivities. Provided the scale of inhomogeneities in the composite is sufficiently small…

Bounds on the complex permittivity of sea ice

    K. Golden
  • Environmental Science, Materials Science
  • 1995
An analytic method for obtaining bounds on effective properties of composites is applied to the complex permittivity ∈* of sea ice. The sea ice is assumed to be a two-component random medium…

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General mixing formulas are derived for discrete scatterers immersed in a host medium. The inclusion particles are assumed to be ellipsoidal. The electric field inside the scatterers is determined by…

The dielectric constant of a composite material—A problem in classical physics

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Variational theorems are established and applied to the derivation of bounds for the effective magnetic permeability of macroscopically homogeneous and isotropic multiphase materials. For reasons of…

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