Analytical evaluation of the effective electric resistivity and Hall coefficient in the rectangular and triangular checkerboard composites

DOI10.1134/S1995080222130352MaRDI QIDQ2688525

Yu. V. Obnosov

Publication date: 3 March 2023

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

boundary value problem of R-linear conjugationregular heterogeneous structure

Mathematics Subject Classification ID

Boundary value problems in the complex plane (30E25)

Uses Software

• Mathematica

Cites Work

• Perturbation analysis of the effective conductivity of a periodic composite
• Closed solution of a certain problem of \(\mathbb{R}\)-linear conjugation for a regular triangular checkerboard field
• Homogenization of the two-dimensional Hall effect
• Four-Phase Checkerboard Composites
• Exact solution of a boundary-value problem for a rectangular checkerboard field
• Periodic Heterogeneous Structures: New Explicit Solutions and Effective Characteristics of Refraction of an Imposed Field
• The Theory of Composites
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