Rapid computation of effective conductivity of 2D composites by equivalent circuit and spectral methods

DOI10.3934/MINE.2022020OpenAlexW3191323741MaRDI QIDQ2167596

Ben J. Ransom, Dean R. Wheeler

Publication date: 25 August 2022

Published in: Mathematics in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mine.2022020

zbMATH Keywords

conductivitypercolationrenormalizationcomposite materialscoarse grainingcheckerboard

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Statistical mechanics, structure of matter (82-XX)

Cites Work

• Unnamed Item
• The effective conductivity of random checkerboards
• The image-based multiscale multigrid solver, preconditioner, and reduced order model
• Four-Phase Checkerboard Composites
• Proof of a conjecture on the conductivity of checkerboards
• A three-phase tessellation: solution and effective properties
• Effective conductivity of periodic composites composed of two very unequal conductors
• Homogenization of a set of parallel fibres
• The Theory of Composites
• Corner singularities for elliptic problems: special basis functions versus ?brute force?
• A Theorem on the Conductivity of a Composite Medium

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