Multiscale Estimation of the Fluctuations of Mechanical Fields in Poroelasticity: Application to Cement-Based Composites

Tulio Honorio (1) , Laurent Brochard (1)

1 navier umr 8205 - Laboratoire Navier

Analytical estimations of stresses and strains fluctuations (or statistical variability) in elasticity at early-age are provided according to different scales of interest of cement-based materials (CBM). The estimations are obtained by means of relations between square means and effective properties for isotropic medium. Mori-Tanaka (MT), self-consistent (SC) and generalized self-consistent (GSC) schemes are combined to represent the multiscale microstructure of CBM. In the estimations, the evolution of volume fractions of phases due to cement hydration processes is accounted for at the cement paste level. Interfacial transition zone (ITZ) is considered at mortar level. These estimations provide important information regarding the heterogeneity of the mechanical fields in cement-based materials, which can be used, for instance, in the definitions of failure or onset of damage criteria. The distributions of stress and strains are provided for the phases of interest at a given scale for different loadings.

Domaines: Mécanique des matériaux [physics.class-ph]

Tulio Honorio, Laurent Brochard. Multiscale Estimation of the Fluctuations of Mechanical Fields in Poroelasticity: Application to Cement-Based Composites. Sixth Biot Conference on Poromechanics, Jul 2017, Paris, France. ⟨10.1061/9780784480779.164⟩. ⟨hal-01686268⟩