Comparison of electrical mixture rules for composites

Keywords

Ellipsoid, Dielectric, Mathematics, Permittivity, Independence (probability theory)

References

• Dielectric spectroscopy of polymersP. Hedvig — 1977
• Statistical Continuum TheoriesMark J. Beran — 1965
• Thermally Stimulated Depolarization of Phase-Separated Polymer SystemsJ. Vanderschueren, M. Ladang, J. Heuschen — 1980
• Low frequency dielectric behaviour of polyamidesM. E. Baird, G. T. Goldsworthy, C.J. Creasey — 1971
• Berechnung verschiedener physikalischer Konstanten von heterogenen Substanzen. I. Dielektrizitätskonstanten und Leitfähigkeiten der Mischkörper aus isotropen SubstanzenD. A. G. Bruggeman — 1935
• Grain shape effects on dielectric and electrical properties of rocksParongama Sen — 1984
• The Thermal and Electrical Conductivity of Two-Phase SystemsLawrence E. Nielsen — 1974
• Dielectric constants of heterogeneous mixturesH. Looyenga — 1965
• Optical properties of Ag-SiO 2 Cermet films: A comparison of effective-medium theoriesC. G. Granqvist, O. Hunderi — 1978
• Solid Mixture PermittivitiesWilliam Fuller Brown — 1955
• Dielectric relaxation in a series of heterophase polyether polyurethanesA. M. North, J. C. Reid — 1972
• Generalized approach to multiphase dielectric mixture theoryW.R. Tinga, W.A.G. Voss, Daniel F. Blossey — 1973
• The dielectric constant of a composite material—A problem in classical physicsDavid J. Bergman — 1978
• Dielectric Relaxation Studies of Segmented PolyestersAmnuey Lilaonitkul, Stuart L. Cooper — 1979
• Ionic conduction of silver bromide emulsion grains as affected by dye adsorptionS. Takada, Tadaaki Tani — 1974
• Effects of interfacial polarization and loading factor in dielectric‐loss measurements of compositesDaniel J. Mickish — 1979
• Some Structural and Electrical Properties of Lithium Silicate GlassesR. J. Charles — 1963
• Dielectric properties of phase separated polymer solids: 1. Styrene-butadiene-styrene triblock copolymersA. M. North, Richard A. Pethrick, Alex Wilson — 1978
• A Variational Approach to the Theory of the Effective Magnetic Permeability of Multiphase MaterialsZvi Hashin, S. Shtrikman — 1962
• Dielectric properties of phase separated polymer solids: 2. Butanediol terephthalate-poly(tetramethylene oxide terephthalate) copolymersA. M. North, Richard A. Pethrick, Alex Wilson — 1978

Cited by

• COMPARISON OF THE DIELECTRIC RESPONSE OF ALUMINA-EPOXY COMPOSITES WITH NANO- AND CONVENTIONAL SIZED FILLERThomas Andritsch, R. Kochetov, P.H.F. Morshuis — 2009
• Oxygen flux and dielectric response study of Mixed Ionic-Electronic Conducting (MIEC) heterogeneous functional materialsFazle Rabbi — 2014
• Effect of WC particle size and Ag volume fraction on electrical contact resistance and thermal conductivity of Ag–WC contact materialsNachiketa Ray, B. Kempf, Timo Mützel — 2015
• Dielectric relaxations in liquid-impregnated porous solidsB. Nettelblad, G. A NIKLASSON — 1997
• (PVDF/BaTiO/sub 3/) and (PP/BaTiO/sub 3/) films for energy storage capacitorsEmmanuel Aulagner, Jacques Guillet, G. Seytre — 1995
• Epoxy Based Nanodielectrics for High Voltage DC Applications: Synthesis, Dielectric Properties and Space Charge DynamicsThomas Andritsch — 2010
• Dielectric relaxation spectroscopy in polymers: broadband ac-spectroscopy and its compatibility with TSDCRolf Pelster — 1999
• The electric moment contribution to the piezoelectricity of PVDFF. Schaffner, B.‐J. Jungnickel — 1992
• Dielectric mixture model for a hollow‐ceramic‐sphere compositeJay G. Liu, David L. Wilcox — 1995
• Mixed matrix membranes using carbon molecular sieves: II. Modeling permeation behaviorDe Q. Vu, William J. Koros, Stephen J. Miller — 2003
• Dielectric nanocapacitance effect of thermoset polymeric matrix nanocompositesEstell Williams, James C. Seferis, Craig L. Wittman — 2004
• Determination of the effective thermal conductivity tensor of heterogeneous media using a self-consistent finite element method: Application to the pseudo-percolation thresholds of mixtures containing nonspherical inclusionsA Decarlis, Marc Jaeger, R. Martin — 2000
• Rigorous calculations of permeation in mixed-matrix membranes: Evaluation of interfacial equilibrium effects and permeability-based modelsTanya Singh, Dun‐Yen Kang, Sankar Nair — 2013
• Modelling heterogeneous dielectric mixtures in the terahertz regime: a quasi-static effective medium theoryMaik Scheller, S. Wietzke, Christian Jansen — 2009
• Monitoring phase separation and reaction advancement in situ in thermoplastic/epoxy blendsS. Poncet, Gisèle Boiteux, Jean Pierre Pascault — 1999
• Theoretical Analysis of Conductivity for Composite Bipolar PlateMu Pan, Zheng Wang, Chunhui Shen — 2009
• One-dimensional tunneling-limited conductivity of discrete, ordered conducting particles dispersed in a matrixWalter R. Romanko, Mark A. Ratner, S. H. Carr — 1990
• Estimation of composites conductivity using a general mixing ruleН. Ф. Уваров — 2000
• Neutron scattering and dielectric studies on dynamics of methanol and ethanol confined in MCM-41Shuichi Takahara, Shigeharu Kittaka, T. Mori — 2008
• Polymer nanocomposites-major conclusions and achievements reached so farÉric David, M.F. Frechétte — 2013

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