dc.contributor.author |
Craster R. |
|
dc.contributor.author |
Obnosov Y. |
|
dc.date.accessioned |
2018-09-18T20:31:04Z |
|
dc.date.available |
2018-09-18T20:31:04Z |
|
dc.date.issued |
2006 |
|
dc.identifier.issn |
0033-5614 |
|
dc.identifier.uri |
https://dspace.kpfu.ru/xmlui/handle/net/140695 |
|
dc.description.abstract |
Two-dimensional multi-phase doubly-periodic composites are considered with the emphasis upon a structure that is a four-phased square checkerboard. The structure of the checkerboard is such that it reduces to an oft-studied two-phase checkerboard on two scales; as such it is of interest as a generalization of the classical results. The structure under investigation eventually reduces to the study of a 4 × 4 matrix Riemann-Hilbert problem: in general this appears not solvable. However, two types of special cases are reducible to 2 × 2 matrix problems that are. These two cases are solved in detail and effective parameters are extracted. Our purpose is two-fold: to explore the matrix Riemann-Hilbert system and to find effective properties of the structure. © The Author 2005. Published by Oxford University Press; all rights reserved. |
|
dc.relation.ispartofseries |
Quarterly Journal of Mechanics and Applied Mathematics |
|
dc.title |
A model four-phase square checkerboard structure |
|
dc.type |
Article |
|
dc.relation.ispartofseries-issue |
1 |
|
dc.relation.ispartofseries-volume |
59 |
|
dc.collection |
Публикации сотрудников КФУ |
|
dc.relation.startpage |
20 |
|
dc.source.id |
SCOPUS00335614-2006-59-1-SID32244436512 |
|