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Is it possible to do an fea simulation of draw forming a cup in Inventor?
http://www.youtube.com/watch?v=kd37yb7fpTg&feature=related
This is an example by a simulation company that shows the stresses in the part and probably where thinning would occur.
Not in Inventor, you would need a non-linear solver for this. You could look into Autodesk Simulation.
http://usa.autodesk.com/adsk/servlet/pc/index?siteID=123112&id=13773836