It is now well established that ultrafine-grain sizes may be produced in bulk metals through the application of severe plastic deformation (SPD). [1] Typical SPD processing techniques include equal-channel angular pressing (ECAP) [2] and high-pressure torsion (HPT) [3] but experimental evidence shows that processing by HPT generally produces ultrafine grains that are smaller than those produced by ECAP. [4][5][6] Accordingly, a significant interest has developed in using HPT processing for the fabrication of metals with submicrometer or nanometer grain sizes.The principles of processing by HPT have been extended recently to the consolidation of metal powders [7,8] and machining chips [9] and the use of HPT in mechanical mixing, [10] investigations of amorphization [11,12] and phase transformations, [13][14][15] evaluations of the hydrogen storage capability of magnesium [16,17] and examinations of structural modifications and the mechanical properties of bulk metallic glasses. [18,19] There is also a very recent demonstration of a continuous high-pressure torsion (CHPT) facility which may be used for the continuous processing of sheets and wires. [20,21] In processing by HPT, the sample is usually in the form of a thin disc, it is held between two massive anvils and it is then subjected to a high compressive pressure, P, and concurrent torsional straining through the rotation of one of the anvils. There are three different types of HPT termed unconstrained HPT, constrained HPT and quasi-constrained HPT, respectively. In unconstrained HPT, the disc is placed between two flat anvils and it is free to flow outwards under the applied pressure. In constrained HPT, the disc is placed within a cavity in the lower anvil so that there is no outward flow when the pressure is applied. In practice, however, most HPT processing is now conducted under quasi-constrained conditions where the disc is placed between depressions in the lower and upper anvils and there is some limited outward flow between the two anvils during the processing operation. [22,23] It has been shown that the experimental results obtained when using HPT depend, at least in part, on the nature of the processing operation. [24,25] In processing by HPT, the equivalent von Mises strain imposed on the disc, e eq , is given by an expression of the form: [26][27][28]