An approach for reduction of the volume loss in the rigid-plastic FEM using two-step updating procedure

► Adams-Basforth method is combined with volumetrically elastic and deviatorically plastic RPFEM. ► The proposed RPFEM is compared to the penalty RPFEM (with Euler method). ► Simulations of the cylinder upsetting and ring compression test are performed. ► The volume loss is reduced using Adams-Basforth time integration method. ► Proposed RPFEM is negligible slower but provides more accurate final dimensions.