Statistical theory of effective electrical, thermal, and magnetic properties of random heterogeneous materials. I. Perturbation expansions for the effective permittivity of cell materials

DOI10.1063/1.1666347zbMath0252.60055OpenAlexW1993938154MaRDI QIDQ5665980

Motoo Hori

Publication date: 1973

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1666347

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (6)

Unnamed Item ⋮ Variational treatment of an absorption problem in random heterogeneous media ⋮ Material multipole mechanics of elastic dielectric composites ⋮ Bounds and perturbation series for incompressible elastic composites with transverse isotropic symmetry ⋮ Rigorous bounds on the effective thermal conductivity of composites with ellipsoidal inclusions ⋮ Dielectric polarization in random media

Cites Work

• Effect of Random Inhomogeneities on Electrical and Galvanomagnetic Measurements
• A Sum Rule Concerning the Inhomogeneous Demagnetizing Field in Nonellipsoidal Samples
• Use of classical variational principles to determine bounds for the effective bulk modulus in heterogeneous media

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