학술논문
Modeling the chlorides transport in cementitious materials by periodic homogenization.
Document Type
Journal
Author
Bourbatache, K. (F-LARO-NDM) AMS Author Profile; Millet, O. (F-LARO-NDM) AMS Author Profile; Aït-Mokhtar, A. (F-LARO-NDM) AMS Author Profile; Amiri, O. (F-LARO-NDM) AMS Author Profile
Source
Subject
35 Partial differential equations -- 35B Qualitative properties of solutions
35B27Homogenization; equations in media with periodic structure
35B27
Language
English
ISSN
15731634
Abstract
Summary: ``In this work, we develop a macroscopic model fordiffusion-migration of ionic species in saturated porous media, basedon periodic homogenization. The prior application is chloride transportin cementitious materials. The dimensional analysis of Nernst-Planckequation lets appear dimensionless numbers characterizing the ionictransfer in porous media. Using experimental data, these dimensionlessnumbers are linked to the perturbation parameter $\varepsilon$. For aweak-imposed electrical field, or in natural diffusion, the asymptoticexpansion of Nernst-Planck equation leads to a macroscopic modelcoupling diffusion and migration at the same order. The expression ofthe homogenized diffusion coefficient only involves the geometricalproperties of the material microstructure. Then, parametric simulationsare performed to compute the chloride diffusion coefficient throughdifferent complexity of the elementary cell to go on as close aspossible to experimental diffusion coefficient of the two cement pastestested.''