Eur. Phys. J. Special Topics 224, 1805-1816 (2015)
https://doi.org/10.1140/epjst/e2015-02500-2

Regular Article

Porous media modeling and micro-structurally motivated material moduli determination via the micro-dilatation theory

¹ Université Paris-Est, Institut de Recherche en Constructibilité, ESTP, 28 avenue Président Wilson, 94234 Cachan, France
² École Polytechnique de l'Université d'Orléans, Université d'Orléans, ICMN, UMR CNRS 7374, Interfaces, Confinement, Matériaux et Nanostructures, 8 rue Léonrad de Vinci, 45072 Orléans, France
³ IC2MP/HYDRASA, UMR CNRS 7285-Hydrogeology, Clays, Soils and Alterations, University of Poitiers, 40 avenue du Recteur Pineau, 86022 Poitiers Cedex, France
⁴ Université Paris 6, CNRS, UMR 7190, Institut Jean Le Rond d'Alembert, Paris, France
⁵ Laboratory of Radiochemistry, Department of Chemistry, Faculty of Science, University of Helsinki, PO Box 5500014, University of Helsinki, Finland

^a e-mail: jjeong@adm.estp.fr,  jena.jeong@gmail.com
^b e-mail: hamidreza.ramezani@univ-orleans.fr
^c e-mail: paul.sardini@univ-poitiers.fr
^d e-mail: djimedo.kondo@upmc.fr
^e e-mail: laurent.ponson@upmc.fr
^f e-mail: marja.siitari-kauppi@helsinki.fi

Received: 14 December 2014
Revised: 21 May 2015
Published online: 30 July 2015

Abstract

In the present contribution, the porous material modeling and micro-structural material parameters determination are scrutinized via the micro-dilatation theory. The main goal is to take advantage of the micro-dilatation theory which belongs to the generalized continuum media. In the first stage, the thermodynamic laws are entirely revised to reach the energy balance relation using three variables, deformation, porosity change and its gradient underlying the porous media as described in the micro-dilatation theory or so-called void elasticity. Two experiments over cement mortar specimens are performed in order to highlight the material parameters related to the pore structure. The shrinkage due to CO₂ carbonation, porosity and its gradient are calculated. The extracted values are verified via ¹⁴C-PMMA radiographic image method. The modeling of swelling phenomenon of Delayed Ettringite Formation (DEF) is studied later on. This issue is performed via the crystallization pressure application using the micro-dilatation theory.