We consider the conductivity problem in an array structure with square closely spaced absolutely conductive inclusions of the high concentra- tion, i.e. the concentration of inclusions is assumed to be close to 1. The problem depends on two small parameters: ", the ratio of the period of the micro-structure to the characteristic macroscopic size, and , the ratio of the thickness of the strips of the array structure and the period of the micro- structure. The complete asymptotic expansion of the solution to problem is constructed and justified a
Asymptotic analysis of an array of closely spaced absolutely conductive inclusions / Berlyand, Leonid; Cardone, Giuseppe; Gorb, Yuliya; Panasenko, Gregory. - In: NETWORKS AND HETEROGENEOUS MEDIA. - ISSN 1556-1801. - 1:3(2006), pp. 353-377. [10.3934/nhm.2006.1.353]
Asymptotic analysis of an array of closely spaced absolutely conductive inclusions
Cardone, Giuseppe
Membro del Collaboration Group
;
2006
Abstract
We consider the conductivity problem in an array structure with square closely spaced absolutely conductive inclusions of the high concentra- tion, i.e. the concentration of inclusions is assumed to be close to 1. The problem depends on two small parameters: ", the ratio of the period of the micro-structure to the characteristic macroscopic size, and , the ratio of the thickness of the strips of the array structure and the period of the micro- structure. The complete asymptotic expansion of the solution to problem is constructed and justified aFile | Dimensione | Formato | |
---|---|---|---|
BerlyandCardoneGorbPanasenkoNHM.pdf
accesso aperto
Descrizione: Articolo
Tipologia:
Versione Editoriale (PDF)
Licenza:
Dominio pubblico
Dimensione
359.78 kB
Formato
Adobe PDF
|
359.78 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.