An analytical upper-bound-based model for predicting curvature of bent metal alloy profiles obtained through a novel extrusion process, differential velocity sideways extrusion (DVSE), previously proposed by the authors, has been first-time developed. Finite element modelling and simulation and model material experiments, which were validated by extrusion of AA1050, have been performed to determine the geometry of the deformation zone and assess the accuracy of the analytical model. The extrusion force, curvature, and effective strain predicted by the analytical method agreed well with results from experiments and FE simulation. It was shown that the punch with a lower velocity experiences a lower extrusion force, which increases both with ...