Comparison of effective conductivities calculated by the effective medium approximation and the self consistent approximation for core-shell particulate composites | Zendy

George R. Gavalas | Zendy

Open Access

Comparison of effective conductivities calculated by the effective medium approximation and the self consistent approximation for core-shell particulate composites

Author(s) -

George R. Gavalas

Publication year - 2017

Publication title -

aip advances

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.421

H-Index - 58

ISSN - 2158-3226

DOI - 10.1063/1.4999331

Subject(s) - volume fraction , shell (structure) , particle (ecology) , materials science , core (optical fiber) , conductivity , simple (philosophy) , composite material , matrix (chemical analysis) , physics , quantum mechanics , philosophy , epistemology , oceanography , geology

The effective conductivity of composites containing simple or core-shell particles has been estimated in the literature using the Mean Field Approximation (MFA) and the Self-Consistent Approximation (SCA) among other techniques. It is shown here that for both simple and core-shell particles the two approximations agree to first order in the particle volume fraction but differ at the second order term. For simple particles the coefficient of the second order term calculated by SCA is at much better agreement with previous exact results than the coefficient calculated by MFA. For core-shell particles the results of the two approximations are almost identical up to particle volume fraction 0.20 but diverge with increasing volume fraction and particle-to-matrix conductivity ratio

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