Analytical comparsion of the FEA results of deep drawing processes

The task is to compare the results found by simulations analytically, so basically it is for validation purpose. I need someone with strong theoretical background knowledge in Deep drawing processes (similar past works is preferable) for comparing cold and warm deep drawing processes analytically, related to its process timing/stress criteria. Basically the thing is that I have worked on hyperform tool for comparing both the method, by which I got the results that warm deep drawing can be better in different situations, Which I would like to show in analytical terms. your job is to compare both the results analytically. In away that we can show that one of the parameters obtained by the simulation results of software can be obtained by the analytical way as well. of course there will be a little or more error but its not of a concern.