A Variational Approach to the Theory of the Effective Magnetic Permeability of Multiphase Materials
- 1 October 1962
- journal article
- conference paper
- Published by AIP Publishing in Journal of Applied Physics
- Vol. 33 (10) , 3125-3131
- https://doi.org/10.1063/1.1728579
Abstract
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 mathematical analogy the results are also valid for the dielectric constant, electric conductivity, heat conductivity, and diffusivity of such materials. For the case of two-phase materials, the bounds derived are the most restrictive ones that can be given in terms of the phase permeabilities and volume fractions. Comparison of present theoretical results with existing experimental data shows good agreement.This publication has 7 references indexed in Scilit:
- Thermal Conductivity of Porous Media. I. Unconsolidated SandsJournal of Applied Physics, 1961
- Note on the effective constants of composite materialsJournal of the Franklin Institute, 1961
- Effect of Random Inhomogeneities on Electrical and Galvanomagnetic MeasurementsJournal of Applied Physics, 1960
- Formulae for Dielectric Constant of MixturesProceedings of the Physical Society. Section B, 1957
- Solid Mixture PermittivitiesThe Journal of Chemical Physics, 1955
- The Electrical Resistance of Binary Metallic MixturesJournal of Applied Physics, 1952
- La loi d'approche en a: H et une nouvelle théorie de la dureté magnétiqueJournal de Physique et le Radium, 1948