КФУ. Карточка публикации. A three-phase tessellation: solution and effective propertie

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A THREE-PHASE TESSELLATION: SOLUTION AND EFFECTIVE PROPERTIE

Форма представления

Статьи в зарубежных журналах и сборниках

Год публикации

2004

Язык

английский

Авторы, сотрудники КФУ

Обносов Юрий Викторович, автор

Другие авторы

Craster Richard , автор

Библиографическое описание на языке оригинала

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.

Аннотация

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.

Ключевые слова

composite materials; complex analysis; effective resistivity

Название журнала

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

URL

http://DOI: 10.1098/rspa.2003.1196

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https://repository.kpfu.ru/?p_id=137471

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Полная запись метаданных

Поле DC	Значение	Язык
dc.contributor.author	Обносов Юрий Викторович	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/?p_id=137471	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	Статьи в зарубежных журналах и сборниках	ru_RU