Third-order bounds on the conductivity of a random stacking of cubes

DOI10.1063/1.530564zbMath0801.73051OpenAlexW2057690752MaRDI QIDQ4298630

Johan Helsing

Publication date: 9 August 1994

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

Full work available at URL: https://doi.org/10.1063/1.530564

zbMATH Keywords

symmetric cell materialboundary integral techniqueMiller parameter

Mathematics Subject Classification ID

Composite and mixture properties (74E30) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Random materials and composite materials (74A40)

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Geometrical-parameter bounds on the effective moduli of composites, Proof of a conjecture on the conductivity of checkerboards

Cites Work

• Multicomponent composites, electrical networks and new types of continued fraction. I
• Diffusion and viscous flow in concentrated suspensions
• A Variational Approach to the Theory of the Effective Magnetic Permeability of Multiphase Materials
• New bounds on the effective thermal conductivity of N -phase materials
• The effective conductivity of an infinitely interchangeable mixture