KFU. Card publication. Analytical Evaluation of the Effective Electric Resistivity and Hall Coefficient in the Rectangular and Triangular Checkerboard Composites

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ANALYTICAL EVALUATION OF THE EFFECTIVE ELECTRIC RESISTIVITY AND HALL COEFFICIENT IN THE RECTANGULAR AND TRIANGULAR CHECKERBOARD COMPOSITES

Form of presentation

Articles in Russian journals and collections

Year of publication

2022

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Authors, employees of KFU

Obnosov Yuriy Viktorovich, author

Bibliographic description in the original language

Yu.V. Obnosov Analytical evaluation of the effective electric resistivity and Hall coefficient in the rectangular and triangular checkerboard composites. Lobachevskii Journal of Mathematics. 2022, Vol.43 (10),2989-3004, DOI: 10.1134/S1995080222130352 (IF=0.969,Q3)

Annotation

The effective resistivity and the effective Hall parameter for two-periodic rectangular and regular triangular two-phase heterogeneous structures are analytically evaluated. In particular, it is proved that both of these parameters for a square and triangular checkerboard are the same and do not depend on the power and direction of the external imposed field. In the case of rectangular (nonsquare) structure, both effective parameters depend significantly on the direction of the external field, but not on its power. The extreme properties of the obtained parameters are studied.

Keywords

complex analysis, regular heterogeneous structure, boundary value problem of R-linear conjugation, effective parameters, Hall parameter

The name of the journal

Lobachevskii J. of Mathematics

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=274505&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Obnosov Yuriy Viktorovich	ru_RU
dc.date.accessioned	2022-01-01T00:00:00Z	ru_RU
dc.date.available	2022-01-01T00:00:00Z	ru_RU
dc.date.issued	2022	ru_RU
dc.identifier.citation	Yu.V. Obnosov Analytical evaluation of the effective electric resistivity and Hall coefficient in the rectangular and triangular checkerboard composites. Lobachevskii Journal of Mathematics. 2022, Vol.43 (10),2989-3004, DOI: 10.1134/S1995080222130352 (IF=0.969,Q3)	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=274505&p_lang=2	ru_RU
dc.description.abstract	Lobachevskii J. of Mathematics	ru_RU
dc.description.abstract	The effective resistivity and the effective Hall parameter for two-periodic rectangular and regular triangular two-phase heterogeneous structures are analytically evaluated. In particular, it is proved that both of these parameters for a square and triangular checkerboard are the same and do not depend on the power and direction of the external imposed field. In the case of rectangular (nonsquare) structure, both effective parameters depend significantly on the direction of the external field, but not on its power. The extreme properties of the obtained parameters are studied.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	complex analysis	ru_RU
dc.subject	regular heterogeneous structure	ru_RU
dc.subject	boundary value problem of R-linear conjugation	ru_RU
dc.subject	effective parameters	ru_RU
dc.subject	Hall parameter	ru_RU
dc.title	Analytical Evaluation of the Effective Electric Resistivity and Hall Coefficient in the Rectangular and Triangular Checkerboard Composites	ru_RU
dc.type	Articles in Russian journals and collections	ru_RU