Effective conductivity of a singularly perturbed periodic two-phase composite with imperfect thermal contact at the two-phase interface

Matteo Dalla Riva*, Paolo Musolino

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference Proceeding (Non-Journal item)

1 Citation (SciVal)

Abstract

We consider the asymptotic behaviour of the effective thermal conductivity of a two-phase composite obtained by introducing into an infinite homogeneous matrix a periodic set of inclusions of a different material and of size proportional to a positive parameter ε. We are interested in the case of imperfect thermal contact at the two-phase interface. Under suitable assumptions, we show that the effective thermal conductivity can be continued real analytically in the parameter ε around the degenerate value ε = 0, in correspondence of which the inclusions collapse to points. The results presented here are obtained by means of an approach based on functional analysis and potential theory and are also part of a forthcoming paper by the authors.

Original languageEnglish
Title of host publication9th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2012
EditorsSeenith Sivasundaram
PublisherAmerican Institute of Physics
Pages264-268
Number of pages5
Volume1493
ISBN (Print)9780735411050, 0735411050
DOIs
Publication statusPublished - 2012
Event9th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2012 - Vienna, Austria
Duration: 10 Jul 201214 Jul 2012

Publication series

NameAIP Conference Proceedings

Conference

Conference9th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2012
Country/TerritoryAustria
CityVienna
Period10 Jul 201214 Jul 2012

Keywords

  • effective conductivity
  • non-ideal contact conditions
  • periodic composite
  • singularly perturbed domain
  • transmission problem

Fingerprint

Dive into the research topics of 'Effective conductivity of a singularly perturbed periodic two-phase composite with imperfect thermal contact at the two-phase interface'. Together they form a unique fingerprint.

Cite this