KFU. Card publication. Regular hexagonal three-phase checkerboard

KAZAN
FEDERAL UNIVERSITY

- RUS
- 中文
- ES

REGULAR HEXAGONAL THREE-PHASE CHECKERBOARD

Form of presentation

Articles in international journals and collections

Year of publication

2019

Язык

английский

Authors, employees of KFU

Obnosov Yuriy Viktorovich, author

Bibliographic description in the original language

Obnosov Y.V., Regular hexagonal three-phase checkerboard//Journal of Mathematical Analysis and Applications. - 2019. - Vol.478, p.1147 -1162 .

Annotation

Two-dimensional doubly-periodic, three-phase hexagonal structure is considered. The flow in the structure is generated by three sets of vortexes/sinks/sources, which are the same in each phase and are located in the centers of the hexagons. Complex analyses methods are utilized to reduce the doubly periodic R-linear conjugation problem to the simpler one, Riemann-Hilbert (RH) problem, on a three-sheeted Riemann surface. In turn, the latter problem is reduced to a RH problem involving three joined sectors on the plane, which was previously investigated in \cite{cras_obn2004}. The limiting cases with one non-conducting phase and two phases of the same conductivities are investigated. All solutions derived are verified both numerically and analytically. Examples of relevant flow networks, streamlines and equipotentials, are plotted in the whole structure and separately in each phase.

Keywords

Composite materials, doubly periodic structure, complex analysis, piece-wise meromorphic solution, conformal mapping

The name of the journal

Journal of Mathematical Analysis and Applications

URL

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85066827959&doi=10.1016%2fj.jmaa.2019.06.007&partnerID=40&md5=7a11f52d30ea2bfb86d40a0614354b5c

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

https://repository.kpfu.ru/eng/?p_id=204767&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Obnosov Yuriy Viktorovich	ru_RU
dc.date.accessioned	2019-01-01T00:00:00Z	ru_RU
dc.date.available	2019-01-01T00:00:00Z	ru_RU
dc.date.issued	2019	ru_RU
dc.identifier.citation	Obnosov Y.V., Regular hexagonal three-phase checkerboard//Journal of Mathematical Analysis and Applications. - 2019. - Vol.478, p.1147 -1162 .	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=204767&p_lang=2	ru_RU
dc.description.abstract	Journal of Mathematical Analysis and Applications	ru_RU
dc.description.abstract	Two-dimensional doubly-periodic, three-phase hexagonal structure is considered. The flow in the structure is generated by three sets of vortexes/sinks/sources, which are the same in each phase and are located in the centers of the hexagons. Complex analyses methods are utilized to reduce the doubly periodic R-linear conjugation problem to the simpler one, Riemann-Hilbert (RH) problem, on a three-sheeted Riemann surface. In turn, the latter problem is reduced to a RH problem involving three joined sectors on the plane, which was previously investigated in \cite{cras_obn2004}. The limiting cases with one non-conducting phase and two phases of the same conductivities are investigated. All solutions derived are verified both numerically and analytically. Examples of relevant flow networks, streamlines and equipotentials, are plotted in the whole structure and separately in each phase.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	Composite materials	ru_RU
dc.subject	doubly periodic structure	ru_RU
dc.subject	complex analysis	ru_RU
dc.subject	piece-wise meromorphic solution	ru_RU
dc.subject	conformal mapping	ru_RU
dc.title	Regular hexagonal three-phase checkerboard	ru_RU
dc.type	Articles in international journals and collections	ru_RU