Tool profile stationarity while simulating surface plastic deformation by rolling as a process of flat periodically reproducible deformation

OBRABOTKAMETALLOV Vol. 20 No. 3 2018 MATERIAL SCIENCE EQUIPMENT. INSTRUMENTS 3 2 21 particle passes in the deformation zone along the flow line, the accumulation of deformation and damage to the metal occurs (Fig. 1). The deformation zone dimensions depend on the process parameters: the rolling force P , the roller pro- file radius R pr , the roller diameter D r , the feed s , the part diameter D p , and in the circumferential direction are characterized by the deformation angle j d . The movement of a material particle in the deformation zone consists of its movement due to the rota- tion of the part (this value is the same for all material particles at the same depth) v rot and displacement relative to other material particles v d due to the contact interaction of the part surface with the tool (Fig. 2). The occurrence and change of stresses and strains is caused by successive movements of material particles v d when the part is rotated. When the roller and the part being processed interact, the section under consideration (strain plane) rotates sequentially relative to the axis of the part (Fig. 3), which causes the movement of the roller profile v t and the movement of the material particles of the processed body v d in the strain plane (Fig. 4). The movement of the roller profile consists of a vertical movement v ty , due to the sequential rotation of the strain plane in the direction of the roller central section, and a horizontal movement v tx , which occurs due to the tool feed s . The v tx value can be estimated as 4 d tx v s j = π . (1) Fig. 1. The flow line while the material particle movement in the deformation area