Poroelastic Properties of a Nanoporous Granular Material with Interface Effects

Abstract

Many research activities have contributed to extend the homogenization schemes and variational bounds to account for surface stresses, in the case of matrix-inclusion composite materials. The nanostructure of clay-based and cement-based materials rather exhibits a disordered granular-like morphology which is usually well described by using the self-consistent scheme. Within this context, this paper proposes an extension of Kroener’s self-consistent scheme incorporating the physics of surface stress. The poromechanical coupling is also considered through the concept of disjoining pressure. Closed-form solutions for the homogenized elastic and poroelastic moduli that are derived and simplified expressions of these moduli are reported for asymptotic cases.