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Exact solution of a boundary-value problem for a rectangular checkerboard field

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Publication:3128315
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DOI10.1098/rspa.1996.0130zbMath0891.73047OpenAlexW1980839439MaRDI QIDQ3128315

Yu. V. Obnosov

Publication date: 19 July 1998

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1996.0130


zbMATH Keywords

corner pointsconformal mapsHölder continuous functionsdoubly periodic functionsintegrable singularitiespiecewise holomorphic functionmethod of symmetryR-linear conjugation problem


Mathematics Subject Classification ID

Composite and mixture properties (74E30) Boundary value problems in the complex plane (30E25)


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Analytical evaluation of the effective electric resistivity and Hall coefficient in the rectangular and triangular checkerboard composites ⋮ Proof of a conjecture on the conductivity of checkerboards ⋮ Checkerboard composites with separated phases ⋮ Regular hexagonal three-phase checkerboard ⋮ Asymptotic determination of effective elastic properties of composite materials with fibrous square-shaped inclusions



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