In recent years the new methods of introducing severe plastic deformation [1] into metallic materials are worked out. As a result of such treatment a pronounced fragmentation of grains, with a new submicrocrystalline structures and extraordinary strength, are obtained. While the problem of energy consumption supplied to produce metallic materials with new properties usually is not discussed. In this publication we will consider some aspects of the problem, in particular, the energy consumption for irreversible deformation and fracture of metallic materials. For example, such problem arises when the ductile creep fracture criterion for incompressible materials is formulated. In accordance with the Hoff's law [2] the metallic specimen is fractured when the value of deformation tends to infinity and so the infinite value of energy must be consumed. To clear up this question, the energy conservation law is applied [3] to formulate the creep fracture criterion. The received criterion contains a summary of heat
