The main object of the present paper is to investigate the significance of gas-solid interaction in foamed polymers subjected to large deformations, particularly in compression, in combination with high rates thereof. The present development thus represents an extension of previous work in [
], where we developed a phenomenological model representing the response of the sole cellular network on the basis of a viscoplastic Perzyna model to account for the rate dependence of the cellular network response. In this context, a main feature of the paper concerns the establishment of gas-filled foams in the context of a two-phase porous material within the Theory of Porous Media [
], where the interaction between the phases is modeled in terms of a deformation dependent Darcian filter law [
]. Thereby, a continuum mechanical coupling between the gas pressure and the deformation of the cellular network is obtained. We propose to resolve this coupling in terms of a staggered solution procedure similar to the staggered handling of the thermo-mechanically coupled problem [
” decoupling, where the pressure is considered constant during the mechanical step, is used. The model is implemented in the finite element code LS-DYNA, and the paper is concluded by representative numerical simulations. As main feature of the paper, a parametric study in terms of the permeability properties of the foam is carried out to display the significance of the gas-solid interaction for polymeric foam used for energy absorption in vehicles.