Transverse bending of a rectangular workpiece at large plastic deformations
Authors: Buketkin B.V., Zhukov V.S., Shirshov A.A.
Published in issue: #2(122)/2022
DOI: 10.18698/2308-6033-2022-2-2150
Category: Mechanics | Chapter: Mechanics of Deformable Solid Body
The technological operation of bending is widely used in the manufacture of various parts — both rod parts, for example, springs of various types, and shell parts, for example, shells and bottoms of petrochemical apparatuses, ship hulls, automobiles, etc. The maximum plastic strains that arise in this case vary over a wide range and can reach quite large values, significantly exceeding the elastic strains. Regardless of the maximum deformation levels, residual stresses occur in the product, affecting its performance. The study of free three-point bending of a workpiece with a rectangular cross section was carried out at different ratios of the radius of the punch contacting cylindrical surface to the height of the workpiece as well as at different ratios of the width to the height of the workpiece. The workpiece material is low-carbon steel with a real (not approximated) deformation diagram. Stress state, cross-sectional shape change and residual stresses are numerically investigated using the finite element method.
References
[1] Başar Y., Itskov M. Computational mechanics, 1999, vol. 23, no. 5, pp. 466–481.
[2] Štok B., Halilovič M. Applied Mathematical Modelling, 2009, vol. 33, no. 3, pp. 1749–1760.
[3] Bakushev S.V. Dorogi i mosty — Roads and Bridges, 2013, no. 2 (30), pp. 187–203.
[4] Kholodar B.G. Vestnik Brestskogo gosudarstvennogo tekhnicheskogo universiteta. Stroitelstvo i arkhitektura — Vestnik of the Brest State Technical University. Construction and architecture, 2017, no. 1 (103), pp. 126–128.
[5] Malinin N.N. Prikladnaya teoriya plastichnosti i polzuchesti [Applied theory of plasticity and creep]. Moscow, Yurayt Publ., 2019, 401 p.
[6] Aleksandrov S.E., Pirumov A.R. Vestnik Moskovskogo gosudarstvennogo universiteta priborostroyeniya i informatiki. Seriya: Mashinostroyeniye (Vestnik of Moscow State University of Instrument Engineering and Computer Science Series: Mechanical Engineering), 2014, no. 51, pp. 39–45.
[7] Zhu H.X. International Journal of Mechanical Sciences, 2007, vol. 49, no. 4, pp. 500–514.
[8] Burlakov I.A., Zabelyan D.M., Shagov I.A., Bondarenko A.K., Gladkov Yu.A. Zagotovitelnye proizvodstva v mashinostroyenii — Blanking productions in mechanical engineering (press forging, foundry and other productions), 2013, no. 6, pp. 17–20.
[9] Burkov P.V., Volosatova T.M., Knyazeva S.V. Journal of Advanced Research in Natural Science, 2020, no. 11, pp. 43–47.
[10] Nilsson A., Melin L., Magnusson C. Journal of Materials Processing Technology, 1997, vol. 65, no. 1–3, pp. 52–58.
[11] Huh H., Kim S.H. Communications in Numerical Methods in Engineering, 2000, vol. 16, no. 11, pp. 755–767.
[12] Zhang Z. Thin-Walled Structures, 2018, vol. 133, pp. 120–133.
[13] Korsunsky A.M., Withers P.J. International Journal of Solids and Structures, 1997, vol. 34, no. 16, pp. 1985–2002.
[14] Franceschi A., Kaffenberger M., Schork B., Hoche H., Oechsner M., Groche P. Production Engineering, 2019, vol. 13, no. 2, pp. 157–167.
[15] Fayrushin A.M., Markelov D.A., Marchenko I.A. Neftegazovoe delo — Oil and Gas Business, 2020, no. 4, pp. 74–84.
[16] Chukin M.V., Poletskov P.P., Alekseyev D.Yu., Berezhnaya G.A., Gushchina M.S. Zhurnal Sibirskogo federalnogo universiteta. Seriya: Tekhnika i tekhnologii — Journal of Siberian Federal University. Engineering & Technologies, 2016, vol. 9, no. 8, pp. 1326–1332.
[17] ANSYS® Academic Rvolesearch, Release 17.0, Help System, Mechanical ADPl Guide, ANSYS, Inc. ANSYS® Academic Research, Release 17.0, Help System, Mechanical ADPl Guide, ANSYS, Inc.ANSYS I. ANSYS® Academic Research. ANSYS CFX-Solver Modeling Guide, 2013, vol. 15317, pp. 448–451.