KFU. Card publication. A three-phase tessellation: solution and effective propertie

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FEDERAL UNIVERSITY

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A THREE-PHASE TESSELLATION: SOLUTION AND EFFECTIVE PROPERTIE

Form of presentation

Articles in international journals and collections

Year of publication

2004

Язык

английский

Authors, employees of KFU

Obnosov Yuriy Viktorovich, author

Other authors

Craster Richard , author

Bibliographic description in the original language

Craster R.V., Obnosov Yu.V. A three-phase tessellation: solution and effective properties. Proc. Royal Society London, A, 2004, 460, 1017-1037. DOI: 10.1098/rspa.2003.1196.

Annotation

Two-dimensional, doubly periodic, three-phase structures are considered in the situation where mean fluxes are applied across the structure. The approach is to use complex variables, and to use a mapping that reduces the doubly periodic problem to a much simpler one involving joined sectors. This is a model composite structure in electrostatics (and mathematically analogous areas such as porous media, anti-plane elasticity, heat conduction), and we find various effective parameters and investigate limiting cases. The structure is also amenable to asymptotic methods in the case of highly varying composition and we provide these solutions, partly as a check upon our analysis, and partly as they are useful in their own right.

Keywords

composite materials; complex analysis; effective resistivity

The name of the journal

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

URL

http://DOI: 10.1098/rspa.2003.1196

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

https://repository.kpfu.ru/eng/?p_id=137471&p_lang=2

Resource files

File name	Size (MB)	Format
PRLS2004.pdf	0,07	pdf	show / download

Full metadata record

Field DC	Value	Language
dc.contributor.author	Obnosov Yuriy Viktorovich	ru_RU
dc.contributor.author	Craster Richard	ru_RU
dc.date.accessioned	2004-01-01T00:00:00Z	ru_RU
dc.date.available	2004-01-01T00:00:00Z	ru_RU
dc.date.issued	2004	ru_RU
dc.identifier.citation	Craster R.V., Obnosov Yu.V. A three-phase tessellation: solution and effective properties. Proc. Royal Society London, A, 2004, 460, 1017-1037. DOI: 10.1098/rspa.2003.1196.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=137471&p_lang=2	ru_RU
dc.description.abstract	Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences	ru_RU
dc.description.abstract	Two-dimensional, doubly periodic, three-phase structures are considered in the situation where mean fluxes are applied across the structure. The approach is to use complex variables, and to use a mapping that reduces the doubly periodic problem to a much simpler one involving joined sectors. This is a model composite structure in electrostatics (and mathematically analogous areas such as porous media, anti-plane elasticity, heat conduction), and we find various effective parameters and investigate limiting cases. The structure is also amenable to asymptotic methods in the case of highly varying composition and we provide these solutions, partly as a check upon our analysis, and partly as they are useful in their own right.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject		ru_RU
dc.title	A three-phase tessellation: solution and effective propertie	ru_RU
dc.type	Articles in international journals and collections	ru_RU