KFU. Card publication. Exact solution of a boundary-value problem for a rectangular checkerboard field

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FEDERAL UNIVERSITY

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

Form of presentation

Articles in international journals and collections

Year of publication

1996

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Authors, employees of KFU

Obnosov Yuriy Viktorovich, author

Bibliographic description in the original language

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.

Annotation

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.

Keywords

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

The name of the journal

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

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

https://repository.kpfu.ru/eng/?p_id=137327&p_lang=2

Resource files

File name	Size (MB)	Format
PRLS1996.pdf	1,82	pdf	show / download

Full metadata record

Field DC	Value	Language
dc.contributor.author	Obnosov Yuriy Viktorovich	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/eng/?p_id=137327&p_lang=2	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	Articles in international journals and collections	ru_RU