We consider a reaction–diffusion problem in a porous medium, where the reaction causes a local increase or decrease of volume of the solid matrix. For the homogenisation of the resulting system of equations, we employ the method of homogenisation in domains with evolving microstructure. The functions describing the evolution of the microstructure are related to the reaction–diffusion process.
On considère un problème de réaction et diffusion dans un milieu poreux, où la réaction cause une augmentation ou une réduction du volume de la matrix solide. Pour l'homogénéisation du système d'équations résultants on emploie la méthode d'homogénéisation dans des domaines avec évolution de la micro-structure. Les fonctions que décrivent l'évolution de la micro-structure sont reliées au processus de réaction et diffusion.
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Mots-clés : Milieux poreux, Homogénéisation, Approche multiéchelle, Reaction et diffusion, Carbonatation du beton
Malte A. Peter 1
@article{CRMECA_2007__335_11_679_0,
author = {Malte A. Peter},
title = {Homogenisation of a chemical degradation mechanism inducing an evolving microstructure},
journal = {Comptes Rendus. M\'ecanique},
pages = {679--684},
publisher = {Elsevier},
volume = {335},
number = {11},
year = {2007},
doi = {10.1016/j.crme.2007.09.003},
language = {en},
}
Malte A. Peter. Homogenisation of a chemical degradation mechanism inducing an evolving microstructure. Comptes Rendus. Mécanique, Volume 335 (2007) no. 11, pp. 679-684. doi : 10.1016/j.crme.2007.09.003. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2007.09.003/
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