Increase and decrease of the effective conductivity of two-phase composites due to polydispersity
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Publication:1777932
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
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
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- 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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