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UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS Guest
2024-11-24 9:45 |
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Conference: Bucharest University Faculty of Physics 2011 Meeting
Section: Theoretical Physics and Applied Mathematics
Title:
Homogenization Results for Composite Materials
Authors:
Claudia Timofte
Affiliation:
Faculty of Physics, University of Bucharest, P.O. Box MG-11,
Bucharest-Magurele, Romania
E-mail
claudiatimofte@yahoo.com
Keywords:
homogenization, heat diffusion, composite materials, interfacial barrier.
Abstract:
The effective behavior of the solution of a nonlinear problem arising in the modeling of thermal diffusion in a two-component composite formed by two materials with different thermal properties, separated by an active interface, is analyzed.
Using an homogenization procedure, we prove that the macroscopic behavior of the solution of our problem is governed by a continuous model, similar to the famous Barenblatt`s system. Thus, despite its discrete cellular structure, at a macroscopic level, the composite can be described as the superimposition of two interpenetrating
continuous media, coexisting at every point of the domain.
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