ABSTRACT
The contribution develops an asymptotic expansion homogenization of a mesoscale model based on rigid-body kinematics. The model is capable of solving coupled mechanics and mass transport in concrete. Two coupling phenomena are considered: the Biot’s theory and an effect of cracks on the material conductivity. The homogenization technique is used to deliver a two scale model: (i) the macroscale emerges as a homogeneous Cosserat continuum coupled with mass transport. Each integration point contains (ii) a mesoscale periodic Representative Volume Element (RVE), a submodel replacing the constitutive function. The RVE is discrete, loaded by a projection of Cosserat strain tensor and macroscopic pressure gradient. The homogenized model is compared to the full model by simulating two examples: the Terzaghi’s consolidation and hydraulic fracturing of a hollow cyllinder.
