An approximate multiscale model for aging viscoelastic materials exhibiting time-dependent Poisson's ratio

F. Lavergne (1) , Karam Sab (1) , J. Sanahuja (2) , Michel Bornert (1) , C. Toulemonde (2)

1 navier umr 8205 - Laboratoire Navier
2 EDF R&D MMC - Matériaux et Mécanique des Composants

A multi-scale homogenization scheme is proposed to estimate the time-dependent strains of fiber-reinforced concrete. This material is modeled as an aging linear viscoelastic composite material featuring ellipsoidal inclusions embedded in a viscoelastic cementitious matrix characterized by a time-dependent Poisson's ratio. To this end, the homogenization scheme proposed in Lavergne et al. [1] is adapted to the case of a time-dependent Poisson's ratio and it is successfully validated on a non-aging material computed in the Fourier domain. Finally, the new extended estimates of the time-dependent strains of fiber-reinforced concrete are compared to the experimental measurements of Chern and Young [2] and the effects of the volume fraction and aspect ratio of the steel fibers on the time-dependent strains of fiber-reinforced concrete are investigated.

Mots clés: Aging; Creep; Homogenization; Ellipsoid

Domaines: Sciences de l'ingénieur [physics]; Matériaux composites et construction

F. Lavergne, Karam Sab, J. Sanahuja, Michel Bornert, C. Toulemonde. An approximate multiscale model for aging viscoelastic materials exhibiting time-dependent Poisson's ratio. Cement and Concrete Research, 2016, 86, pp.42-54. ⟨10.1016/j.cemconres.2016.04.015⟩. ⟨hal-01286232⟩