To overcome shortcomings of traditional inverse analysis method (TIAM), a fast and reliable searching scheme is used to find elements passing through die entrance radius during deformation process. An efficient stress-strain relation for continuous uniaxial tensile test is introduced to update stress distributions. Constitutive equations avoid complexity of incremental FEM based stress/strain updating algorithms, and effects of die entrance radius on deformation history are considered. Numisheet'93 square box drawing benchmark demonstrates that the constitutive equations significantly enhance prediction of stress distribution compared with incremental FEM based software DYNAFORM.