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 Fig. 7. The intersection lines of the roller surface and the deformation plane Ta b l e 2 Coordinates of the intersection lines points in the coordinate system of the deformation plane, mm a = 0° a = 2° a = 4° a = 6° z cp y cp z cp y cp z cp y cp z cp y cp 3.606 14.000 3.573 14.017 3.475 14.068 3.301 14.155 3.434 14.100 3.400 14.117 3.296 14.168 3.112 14.254 3.250 14.200 3.214 14.217 3.104 14.268 2.908 14.354 3.051 14.300 3.013 14.317 2.896 14.367 2.685 14.453 2.835 14.400 2.795 14.417 2.667 14.467 2.438 14.553 2.598 14.500 2.553 14.517 2.414 14.567 2.158 14.652 2.332 14.600 2.283 14.617 2.125 14.667 1.830 14.752 2.027 14.700 1.970 14.716 1.786 14.766 1.422 14.851 1.661 14.800 1.591 14.816 1.357 14.866 0.823 14.951 1.179 14.900 1.078 14.916 0.688 14.966 0.636 14.970 0.000 15.000 0.000 15.000 0.000 15.000 0.000 15.000 The intersection lines of the roller surface and the strain plane are generally fourth-order curves, the coefficients of approximation of these lines by fourth-order polynomials of the form 2 3 4 0 1 2 3 4 , cp cp cp cp cp y a a z a z a z a z = + + + + (13) are shown in Table 3.