КФУ. Карточка публикации. 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

Форма представления

Статьи в российских журналах и сборниках

Год публикации

2022

Язык

английский

Авторы, сотрудники КФУ

Обносов Юрий Викторович, автор

Библиографическое описание на языке оригинала

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)

Аннотация

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.

Ключевые слова

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

Название журнала

Lobachevskii J. of Mathematics

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https://repository.kpfu.ru/?p_id=274505

Полная запись метаданных

Поле DC	Значение	Язык
dc.contributor.author	Обносов Юрий Викторович	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/?p_id=274505	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	Статьи в российских журналах и сборниках	ru_RU