Properties of a Composite Material with Mixed Imperfect Contact Conditions. Issue 3 (3rd May 2016)

• Record Type: Journal Article
• Authors: de Castro, Luís Filipe Pinheiro; Pesetskaya, Ekaterina
• Is Part Of: Mathematical modelling and analysis. Volume 21:Issue 3(2016)
• Page Start: 283
• Page End: 303
• Publication Date: 2016-05-03
• Subjects: unbounded 2D doubly periodic composite material -- functional equations -- effective conductivity -- non-ideal contact condition; 30E25 -- 30D05 -- 31A05 -- 35B27 -- 39B32 -- 74E30 -- 74G10 -- 74M15 -- 74Q05 -- 74S70; Mathematical models -- Periodicals; Mathematical models -- Study and teaching -- Periodicals; Mathematical analysis -- Periodicals; Mathematical analysis -- Problems, exercises, etc -- Periodicals; Mathematical analysis; Mathematical models; Mathematical models -- Study and teaching; Periodicals; Problems and exercises; 511.805
• DOI: 10.3846/13926292.2016.1152611
• Languages: English
• ISSNs: 1392-6292

Abstract

Abstract: We present an analytical solution of a mixed boundary value problem for an unbounded 2D doubly periodic domain which is a model of a composite material with mixed imperfect interface conditions. We find the effective conductivity of the composite material with mixed imperfect interface conditions, and also give numerical analysis of several of their properties such as temperature and flux.