КФУ. Карточка публикации. Exact solution of a boundary-value problem for a rectangular checkerboard field

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EXACT SOLUTION OF A BOUNDARY-VALUE PROBLEM FOR A RECTANGULAR CHECKERBOARD FIELD

Форма представления

Статьи в зарубежных журналах и сборниках

Год публикации

1996

Язык

английский

Авторы, сотрудники КФУ

Обносов Юрий Викторович, автор

Библиографическое описание на языке оригинала

Obnosov Y.V., Exact solution of a boundary-value problem for a rectangular checkerboard field//Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. - 1996. - Vol.452, Is.1954. - P.2423-2442.

Аннотация

A class of two--phase composite materials with a biperiodic structure is investigated by the methods of complex analysis. Two interface conditions: continuity of normal component of a desired vector ${\bf w}$ and tangential component of $\widehat\rho{\bf w}$ at the contact boundary as well as the double--periodicity condition are involved in rigorous form. The exact analytic solution of the corresponding generalized Riemann boundary--value problem is obtained. The explicit values of the effective parameters viz. effective resistivity and dissipation of energy of an elementary cell and resistivities along the symmetry axes are calculated in closed analytic form.

Ключевые слова

complex analysis, boundary-value problems, two-phase biperiodical heterogeneous structures

Название журнала

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

URL

https://www.scopus.com/inward/record.uri?eid=2-s2.0-0000234907&partnerID=40&md5=35dbdf2941a8c3fbde752a366cd6b2c2

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https://repository.kpfu.ru/?p_id=137327

Файлы ресурса

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PRLS1996.pdf	1,82	pdf	посмотреть / скачать

Полная запись метаданных

Поле DC	Значение	Язык
dc.contributor.author	Обносов Юрий Викторович	ru_RU
dc.date.accessioned	1996-01-01T00:00:00Z	ru_RU
dc.date.available	1996-01-01T00:00:00Z	ru_RU
dc.date.issued	1996	ru_RU
dc.identifier.citation	Obnosov Y.V., Exact solution of a boundary-value problem for a rectangular checkerboard field//Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. - 1996. - Vol.452, Is.1954. - P.2423-2442.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/?p_id=137327	ru_RU
dc.description.abstract	Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences	ru_RU
dc.description.abstract	A class of two--phase composite materials with a biperiodic structure is investigated by the methods of complex analysis. Two interface conditions: continuity of normal component of a desired vector ${\bf w}$ and tangential component of $\widehat\rho{\bf w}$ at the contact boundary as well as the double--periodicity condition are involved in rigorous form. The exact analytic solution of the corresponding generalized Riemann boundary--value problem is obtained. The explicit values of the effective parameters viz. effective resistivity and dissipation of energy of an elementary cell and resistivities along the symmetry axes are calculated in closed analytic form.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	complex analysis	ru_RU
dc.subject	boundary-value problems	ru_RU
dc.subject	two-phase biperiodical heterogeneous structures	ru_RU
dc.title	Exact solution of a boundary-value problem for a rectangular checkerboard field	ru_RU
dc.type	Статьи в зарубежных журналах и сборниках	ru_RU