The quality of surface of the product of metal forming processes depends on physical processes in the vicinity of frictional interfaces between the material and tool. It is well known that material properties in a narrow layer in the vicinity of such interfaces are usually quite different from the properties in the bulk. It is therefore necessary to develop a special approach to account for this feature of the distribution of material properties. A possible approach is proposed in the present paper. It is based on the concept of strain rate intensity factor.