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. 8. Dependence of the profile deviation on the plastic wave height of the deformation zone Conclusion 1. An analytical solution is obtained for determining the coordinates of the points of intersection of the roller surface and the deformation plane depending on the rotation angle of the deformation plane; the geometric dimensions of the part and the roller, as well as the angle of inclination of the deformation plane, are used as the initial data. 2. A relative change in the coordinates of the points of the profile lines in the plane of deformation during its rotation is obtained. It is shown that even in the rolling regimes accompanied by intense plastic flow, the change in coordinates does not exceed 0.1 %. 3. The results obtained show the possibility of using a constant roller profile when simulating rolling as a process of plane fractional deformation. References 1. SuslovA.G., ed. Tekhnologiya i instrumenty otdelochno-uprochnyayushchei obrabotki detalei poverkhnostnym plasticheskim deformirovaniem . V 2 t. T. 1 [Technology and tools of finishing and strengthening processing of parts by surface plastic deformation. In 2 vol. Vol. 1]. Moscow, Mashinostroenie Publ., 2014. 480 p. 2. Delgado P., Cuesta I.I., Alegre J.M., Díaz A. State of the art of Deep Rolling. Precision Engineering , 2016, vol. 46, pp. 1–10. DOI: 10.1016/j.precisioneng.2016.05.001. 3. Altenberger I. Deep Rolling – the past, the present and the future. 9th International Conference on Shot Peening ICSP-9 , Paris, France, 2005, pp. 144–155. 4. Tamarkin M.A., Shvedova А.S., Grebenkin R.V., Novokreshchenov S.А. Tekhnologicheskoe obespechenie zadannogo kachestva poverkhnostnogo sloya detalei pri obrabotke dinamicheskimi metodami poverkhnostnogo plasticheskogo deformirovaniya [Engineering support for specified quality of parts surface layer under dynamic methods processing of surface plastic deformation]. Vestnik Donskogo gosudarstvennogo tekhnicheskogo universiteta = Vestnik of Don State Technical University , 2016, vol. 16, no. 3, pp. 46–52. DOI: 10.12737/20220. (In Russian). 5. Volkov A.N., Sazonov M.B., Schigrinyev I.A. Issledovanie vliyaniya metodov PPD na strukturu poverkhnostnogo sloya i soprotivlenie ustalosti [Research of influence of methods SPD on stpucture surface layer and resistance of fatigue]. Vestnik Samarskogo gosudarstvennogo aerokosmicheskogo universiteta = Vestnik of the Samara State Aerospace University , 2012, no. 3 (34), pp. 153–156. 6. Zaides S.A., Bobrovsky I.N., Fam Van. Vliyanie kinematiki lokal’nogo deformirovaniya na napryazhennoe sostoyanie poverkhnostnogo sloya [Impact of local deformation kinematics upon stressed state of surface layer].