Effective conductivity of a singularly perturbed periodic two-phase composite with imperfect thermal contact at the two-phase interface
Thursday 7 March 2013
2:00 pm - 3:00 pm
2:00 pm - 3:00 pm
| Event type | Seminar |
| Location | John Crank - Room 128 |
Speaker: Paolo Musolino, Brunel University
Abstract
We consider the effective thermal conductivity of a two-phase composite with imperfect thermal contact at the two-phase interface. The composite is obtained by introducing into an infinite homogeneous matrix a periodic set of inclusions of a different material. The diameter of each inclusion is assumed to be proportional to a positive real parameter. Then we show that the function which describes the effective conductivity can be continued real analytically in the parameter around the value zero (in correspondence of which the inclusions collapse to points). The methods developed are based on functional analysis and potential theory and are alternative to asymptotic analysis. Based on joint work with M. Dalla Riva, Universidade de Aveiro.
