Homogenization of heat diffusion in a cracked medium |
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| Authors: | Xavier Blanc Benjamin-Édouard Peigney |
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| Institution: | 1. Laboratoire Jacques-Louis-Lions, université Paris-7-Denis-Diderot, bâtiment Sophie-Germain, 5, rue Thomas-Mann, 75205 Paris cedex 13, France;2. CEA-DAM Île de France, Bruyères-le-Chatel, 91297 Arpajon cedex, France |
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| Abstract: | We develop in this Note a homogenization method to tackle the problem of a diffusion process through a cracked medium. We assume that the cracks are orthogonal to the surface of the material, where an incoming heat flux is applied. The cracks are supposed to be of depth 1, of small width, and periodically arranged. We show that the cracked surface of the domain induces a volume source term in the homogenized equation. |
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