“…It can be shown from first principles [26] that, for a die having Φ=90 o , the strain on each pass decreases slightly with increasing values of Ψ but, nevertheless, the strain for all values of Ψ is very close to ~1 [27]. Although several different procedures have been proposed for estimating the strain in ECAP, it can be shown that all of these procedures give consistent results [28] and, furthermore, these results are consistent also with model experiments including the pressing of layers of colored plasticine [29] or two half-billet samples bearing a rectangular grid on their inner surface [30]. Finally, it is important to note that experiments show an abrupt angle of Φ=90 o is more effective than less abrupt angles in the production of a homogeneous equiaxed microstructure in the as-pressed solids [31].…”