Increase and decrease of the effective conductivity of two-phase composites due to polydispersity

DOI10.1007/s10955-004-8818-0zbMath1065.74054OpenAlexW1964136357MaRDI QIDQ1777932

Leonid Berlyand, Vladimir V. Mityushev

Publication date: 25 May 2005

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

Full work available at URL: https://doi.org/10.1007/s10955-004-8818-0

zbMATH Keywords

random compositemethod of functional equation

Mathematics Subject Classification ID

Effective constitutive equations in solid mechanics (74Q15) Random materials and composite materials (74A40)

Related Items (10)

Perturbation analysis of the effective conductivity of a periodic composite ⋮ Homogenization of stiff inclusions through network approximation ⋮ Refinement of the Maxwell formula for a composite reinforced by circular cross-section fibres. II: Using Padé approximants ⋮ Algorithms for computing symbolic representations of basic \(e\)-sums and their application to composites ⋮ Conductivity gain predictions for multiscale fibrous composites with interfacial thermal barrier resistance ⋮ Effective heat conductivity of a composite with hexagonal lattice of perfectly conducting circular inclusions: An analytical solution ⋮ Exact and “Exact” Formulae in the Theory of Composites ⋮ Schwarz's alternating method in a matrix form and its applications to composites ⋮ Efficient computation of basic sums for random polydispersed composites ⋮ Effective conductivity of a composite material with non-ideal contact conditions

Cites Work

• Unnamed Item
• Convection-enhanced diffusion for random flows
• Longitudinal permeability of spatially periodic rectangular arrays of circular cylinders. II: An arbitrary distribution of cylinders inside the unit cell
• The Theory of Composites
• Longitudinal Permeability of Spatially Periodic Rectangular Arrays of Circular Cylinders I. A Single Cylinder in the Unit Cell
• A Theorem on the Conductivity of a Composite Medium
• Generalized Clausius-Mossotti formula for random composite with circular fibers.
• Transport properties of doubly periodic arrays of circular cylinders and optimal design problems
• Network approximation in the limit of small interparticle distance of the effective properties of a high-contrast random dispersed composite

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