A new analytical solution for prediction of forward tension in the drawing process

Tension in the drawing process is determined via a new solution to the drawing problem for dies of axisymmetric or symmetric sections. A free body equilibrium method is used to obtain the equations that dictate the drawing phenomenon. As opposed to the classical slab method, solution of these equations accounts for internal material distortion. An analytical iterative equation is used to solve the problem of tensions. The new solution can be applied to dies of either axisymmetric or symmetric sections by simply varying one of the constants used in the model. The results afforded by this solution agree with data from experiments and simulations performed using other methods; it correctly reproduces experimental data and behavioural trends. There is also a high degree of similarity between the results obtained with the analytical iterative equation and those obtained with the finite elements method (FEM).