The continuum modeling of polymeric sheet reinforcement–backfill interaction is presented. Polymeric sheet reinforcement is subjected to axial pull at one end of the reinforcement. The continuum analysis is carried out by FLAC (Fast Lagrangian Analysis of Continua), a software based on the finite difference method. The displacements of reinforcement are quantified for different pullout forces and the variations of displacement and tension along the reinforcement length presented. The effects of axial stiffness of reinforcement, soil–reinforcement interface shear stiffness and length of reinforcement are quantified.