Homogenization of a poroelasticity model for fiber‐reinforced hydrogels

In this paper, the analysis and homogenization of a poroelastic model for hydro-mechanical response fiber-reinforced hydrogels are considered. Here, medium in question is considered to be highly heterogeneous two-component media composed connected fiber-scaffold with periodically distributed inclusions hydrogel. While fibers assumed elastic, hydromechanical hydrogel modeled via Biot's poroelasticity. We show that resulting mathematical problem admits unique weak solution investigate limit behavior (in sense two-scale convergence) solutions respect scale parameter, ε $$ \varepsilon , characterizing heterogeneity medium. doing → 0 \to we arrive at an effective where micro variations pore pressure give rise stress correction macro scale.