Numerous reports indicate that the classical continuous medium mechanics no longer is able to reliably predict the behaviour of materials. This is due mainly to the macroscopic character of this theory and its incompatibility with the microscopic description of the behaviour of deformable materials. The above limitations hinder the development of both advanced materials and the theory and technology of mechanical working of materials. There are numerous indications that the problem can be solved as further advances are made in the newly established scientific discipline – physical mesomechanics. The main aim of this paper is to present a concept of physical mesoscopic-macroscopic modelling and controlling the shear fracture of materials. It is the shear fracture which determines most processes of mechanical working of materials and many tribological and other processes. The concept has been experimentally verified and applied to modelling and controlling a wide range of plastic forming and machine cutting processes. Examples of such applications are given and directions for further researches are suggested.

E.S. Dzidowski   Mesoscopic-macroscopic concept of physical modelling and controlling shear fracture and processes determined by this fracture // Физ. мезомех. - 2004. - Т. 7. - № 4. - С. 83-88