https://www.google.com/patents/US5222284?dq=compression+and+swagging+to+extrusion&hl=en&sa=X&ei=4hgKVeepCYHNmwXPjYDYBg&ved=0CCAQ6AEwAA

Thank you. Let me clearify the question:

I am working on microstructural changes during cold rolling and the subsequent annealing treatments. In evaluating the results I am approximating rolling with uniaxial compression; I am considering as if I compression test the alloys. I know the differences as bits and pieces but I would like to get an overall expert view on the magnitude of the error due to this approximation of rolling as compression. Also, although swaging and extrusion are quite different processes, product geometries and textures developed are very similar. Could one be approximated with the other in theoretical data evaluation? Thanks.

i feel the two are the different process, where during compression only compression loads are acting whereas in rolling both compression and shear load (in the form of centrifugal force) act.  Interesting question 

I agree with Shaileshrao, and I add some tension to it.  The extent and importance of shear loads depend on the value of friction coefficient.

Dear Shaileshrao, Dear Mehdi,

Thank you for the contribution. It seems as if I should read much much more for the comparison. Yes, interesting not to find a much simpler model for rolling because almost all flat products (billions of dollars) are being rolled and rolling itself is too complicated to treat without some approximation, simplification.

Dear sir. K.l. johnson book rearding the contact mechanics it will be usefull. I develop a relation for transition from elastic to plastic field. I retrive brinell parameters. If you know HB at fifferent temperatures... I think that will work for the problem. Best regards

Thank you.