Homogenization and numerical algorithms for two-scale modeling of porous media with self-contact in micropores

The paper presents two-scale numerical algorithms for stress–strain analysis of porous media featured by self-contact at pore level. porosity is constituted as a periodic lattice generated representative cell consisting elastic skeleton and void pore. Unilateral frictionless contact considered between opposing surfaces the For homogenized model derived in our previous work, we justify incremental formulations propose several variants which commute iteratively solving micro- macro-level subproblems. A dual formulation takes advantage assumed microstructure periodicity small deformation framework, problems micro-level. This enables to apply semi-smooth Newton method. global, macrolevel step two alternatives are tested; one relying on frozen identified microlevel, other based reduced associated with boundaries sets. Numerical examples 2D deforming structures presented proof concept.