We study the asymptotic behavior of the effective thermal conductivity of a periodic two-phase dilute composite obtained by introducing into an infinite homogeneous matrix a periodic set of inclusions of a different material, each of them of size proportional to a positive parameter $epsilon$. We assume that the normal component of the heat flux is continuous at the two-phase interface, while we impose that the temperature field displays a jump proportional to the normal heat flux. For $epsilon$ small, we prove that the effective conductivity can be represented as a convergent power series in $epsilon$ and we determine the coefficients in terms of the solutions of explicit systems of integral equations.
Musolino, Paolo (Corresponding)
|Titolo:||Series expansion for the effective conductivity of a periodic dilute composite with thermal resistance at the two-phase interface|
|Data di pubblicazione:||2019|
|Appare nelle tipologie:||2.1 Articolo su rivista |
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