The numerical simulation of metal forming processes follows a highly non-li
near analysis where general aspects such as elastoplasticity, finite deform
ation and contact mechanics are combined. Approximated solutions obtained b
y finite element techniques require strong computational effort, that contr
adicts the need of interactive industrial applications. The first part of t
he work deals with the description of the main elements of the formulation,
with attention to mathematical modelling and the approximating algorithms
in the incremental iterative frame of non-linear analysis, ending with the
results obtained in hot rolling simulation. The second part is dedicated to
computational efficiency analysis and the presentation of the related meth
ods and results obtained in this work.