Simulation of springback

Levy, 1984, Empirically derived equations for predicting springback in bending, Journal of Applied Metalworking, 3, 135, 10.1007/BF02833692 Gardiner, 1957, The springback of metals, Transactions of ASME, 79, 1 Queener, 1968, Elastic springback and residual stresses in sheet metal formed by bending, Transactions of ASM, 61, 757 Shaffer, 1955, The elastic–plastic stress distribution within a wide curved bar subjected to pure bending, ASME Journal of Applied Mechanics, 22, 305, 10.1115/1.4011077 Baba, 1964, Effect of tensile force in stretch-forming process on the springback, Bulletin of JSME, 7, 834, 10.1299/jsme1958.7.834 Ingrarson J. Residual stresses, effect on buckling. Proceedings of the Third International Special Conference on Cold Formed Steel Structure, 1975. p. 85–119. Ueda, 1981, A study of springback in the stretch bending of channels, Journal of the Mechanics and Working Technology, 5, 163, 10.1016/0378-3804(81)90038-3 Yu, 1982, Influence of axial force on the elastic–plastic bending and springback of a beam, Journal of the Mechanics and Working Technology, 6, 5, 10.1016/0378-3804(82)90016-X Yuen, 1990, Springback in the stretch-bending of sheet metal with non-uniform deformation, Journal of Materials Processing Technology, 22, 1, 10.1016/0924-0136(90)90138-K Tozawa, 1990, Forming technology for raising the accuracy of sheet-formed products, Journal of Materials Processing Technology, 22, 343, 10.1016/0924-0136(90)90020-U Wang, 1993, Mathematical modeling of plane-strain bending of sheet and plate, Journal of Materials Processing Technology, 39, 279, 10.1016/0924-0136(93)90164-2 El-Domiaty AA, Shabara MAN, Al-Ansary MD. Determination of stretch-bendability of sheet-metals. International Journal of Machine Tools Manufacturing 1996;36:5:635–50. Zhang, ZT, Hu, SJ. Mathematical modeling in plane strain bending. SAE Technical Publication No. 970439, Society of Automotive Engineers, 1997. Chan, 1999, Theoretical analysis of springback in bending of integrated circuit leadframes, International Journal of Materials Processing Technology, 91, 111, 10.1016/S0924-0136(98)00398-7 Nadai A. Theory of flow and fracture of solids. New York: McGraw-Hill, 1950. p. 1. Phillips, 1956 Huang M, Gerdeen JC. Springback of doubly curved developable sheet metal surface. Analysis of Autobody Stamping Technology, Society of Automotive Engineers 1994. p. 125–38. Yu, 1996 Sudo C, Kojima M, Matsuoka T. Some investigations on elastic recovery of press formed parts of high. Proceedings of the 8th Biennial Congress of IDDRG, 1974. p. 192–202. Wang NM. Predicting the effect of die gap on flange springback. Proceedings of the 13th Congress of the IDDRG, Melbourne, Australia, 1984. p. 133–47. Thompson, 1995, A simple theory for side-wall curl, Journal of Applied Metalworking, 4, 39, 10.1007/BF02833675 Chu, 1986, Elastic–plastic springback of sheet metals subjected to complex plane strain bending histories, International Journal of Solids and Structures, 22, 1071, 10.1016/0020-7683(86)90018-1 Kuwabara T, Takahashi S, Ito K. Springback analysis of sheet metal subjected to bending–unbending under tension I (Theory and Results of Numerical Analysis). In: Altan T, editor. Advanced technology of plasticity. (Proceedings of the 5th ICTP), Columbus, Ohio, 1996, vol. II. p. 743–6. Zhang, 1997, An analytical solution to springback of sheet metals stamped by a rigid punch and an elastic die, Journal of Materials Processing Technology, 63, 49, 10.1016/S0924-0136(96)02598-8 Yoshida K. Shape fixability of steel sheets in press forming. Sci. Papers. Institute of Physical and Chemical Research (RIKKEN). 1965, vol. 59. p. 87–96. Duncan JL, Bird JE. Approximate calculations for draw die forming and their applications to aluminum alloy sheet. Proceedings of the 10th Congress of the IDDRG, Warwick, England, 1978. p. 45–52. Wenner, 1983, On the work hardening and springback in plane strain draw forming, Journal of Applied Metalworking, 2, 277, 10.1007/BF02833912 Mickalich MK, Wenner ML. Calculation of springback and its variation in channel forming operations. SAE paper 880526, in P-206. Advances and trends in automotive sheet metal stamping. Warrendale, PA: Society of Automotive Engineers, 1988. p. 99–100. Zhang ZT, Lee D. Effect of process variables and material properties on the springback of 2D-draw bending parts. SAE paper 950692, in SP-1067. Warrendale, PA: Society of Automotive Engineers, 1995. p. 11–18. Makinouchi A, Nakamachi E, Onate E, Wagoner RH, editors. NUMISHEET ’93, The Institute of Physical and Chemical Research, 1993. Lee JK, Kinzel GL, Wagoner RH, editors. NUMISHEET ’96, The Ohio State University, 1996. Gelin JC, Picart P, editors. Proceedings of NUMISHEET ’99, University of Franche-Compte, Besancon, France, 1999. Shen SF, Dawson PR, editors. Proceedings of NUMIFORM ’95. Simulation of materials processing: theory, methods and applications. Rotterdam: A.A. Balkema, 1995. Mattiasson K, Strange A, Thilderkvist P, Samuelsson A. Simulation of springback in sheet metal forming. Fifth International Conference on Numerical Methods in Industrial Forming Process, New York, 1995. p. 115–24. Wagoner RH, Carden WD, Carden WP, Matlock DK. In: Chandra T, Leclair SR, Meech JA, Verma B, Smith M, Balachandran B, editors. Springback after drawing and bending of metal sheets, Proceedings of the IPMM ’97—Intelligent Processing and Manufacturing of Materials, vol. 1 (Intelligent Systems Applications). University of Wollongong, 1997. p. 1–10. Li KP, Geng LM, Wagoner RH. In: Meech JA, Veiga MM, Smith MH, LeClair SR, editors. Simulation of springback with the draw/bend test, IPMM ’99. IEEE, Vancouver, BC, Canada, ISBN 0-7803-5489-3, 1999. p. 1. Lee, 1998, An assessment of numerical parameters influencing springback in explicit finite element analysis of sheet metal forming process, Journal of Materials Processing Technology, 80–81, 60, 10.1016/S0924-0136(98)00177-0 Li KP, Geng L, Wagoner RH. In: Geiger M, editor. Simulation of springback: choice of element, advanced technology of plasticity 1999, vol. III. Berlin: Springer, 1999. p. 2091–8. He N, Wagoner RH. In: Lee JK, Kinzel GL, Wagoner RH, editor. Springback simulation in sheet metal forming. NUMISHEET ’96, Ohio: The Ohio State University, 1996. p. 308–15. Focellese, 1998, The evaluation of springback in 3D stemping and coining processes, Journal of Materials Processing Technology, 80–81, 108, 10.1016/S0924-0136(98)00136-8 Narasimhan, 1999, Predicting springback in sheet metal forming: an explicit to implicit sequential solution procedure, Finite Elements in Analysis and Design, 33, 29, 10.1016/S0168-874X(99)00009-8 Tang SC. Analysis of springback in sheet forming operation, advanced technology of plasticity. In: Lange K, editor. Advanced technology of plasticity, vol. 1. Berlin: Springer, 1987. p. 193–7. Hu Y, Du C. In: Gelin JC, Picart P, editors. Quasi static finite element algorithms for sheet metal stamping springback simulation. Proceedings of NUMISHEET ’99. Besancon, France: University of Franche-Compte, 1999. p. 71–6. Geng LM, Wagoner RH. Springback analysis with a modified hardening model. Sheet Metal Forming: Sing Tang 65th Anniversary Volume, SP-1536, SAE Publication 2000-01-0768, Society of Automotive Engineers, 2000. p. 21–32. Park DW, Kang JJ, Hong JP, Oh SI. Springback simulation by combined method of explicit and implicit FEM. In: Gelin JC, Picart P, editors. Proceedings of NUMISHEET ’99. Besancon, France: University of Franche-Compte, 1999. p. 35–40. Valente, Traversa D. Springback calculation of sheet metal parts after trimming and flanging. In: Gelin JC, Picart P, editors. Proceedings of NUMISHEET ’99. Besancon, France: University of Franche-Compte, 1999. p. 59–64. Montmayeur N, Staub C. Springback prediction with OPTRIS. In: Gelin JC, Picart P, editors. Proceedings of NUMISHEET ’99. Besancon, France: University of Franche-Compte, 1999. p. 41–46. Kazama K, Nukaga T, Makino H. Springback simulation of truck's frame side member. In: Gelin JC, Picart P, editors. Proceedings of NUMISHEET ’99. Besancon, France: University of Franche-Compte, 1999. p. 65–70. Abdelsalam U, Sikorski A, Karima M. Application of one step springback for product and early process feasibility on sheet metal stampings. In: Gelin JC, Picart P, editors. Proceedings of NUMISHEET ’99. Besancon, France: University of Franche-Compte, 1999. p. 47–52. Pourboghrat, 1995, Springback in plane strain stretch/draw sheet forming, International Journal of Mechanical Sciences, 36, 327, 10.1016/0020-7403(95)93523-9 Karafillis, 1992, Tooling design in sheet metal forming using springback calculations, International Journal of Mechanical Sciences, 34, 113, 10.1016/0020-7403(92)90077-T Karafillis, 1992, Tooling design accommodating springback errors, Journal of Materials Processing Technology, 32, 499, 10.1016/0924-0136(92)90206-8 Karafillis, 1996, Tooling and binder design for sheet metal forming processes compensating springback error, International Journal of Machine Tools and Manufacture, 36, 503, 10.1016/0890-6955(95)00023-2 Ghouati O, Joannic D, Gelin JC. Optimisation of process parameters for the control of springback in deep drawing. Simulation of materials processing: theory, methods and applications, Numiform ’98, Netherlands, 1998. p. 819–24. Han SS, Park KC. An investigation of the factors influencing springback by empirical and simulative techniques. Proceedings of Numisheet’99. Besancon, France, 1999. p. 53–7. Chakhari ML, Jalinier JN. Springback of complex parts. Thirteenth Biennial Congress of IDDRG, 1984. p. 148–59. Morestin, 1996, On the necessity of taking into account the variation in the Young's modulus with plastic strain in elastic–plastic software, Nuclear Engineering and Design, 9l. 162, 107, 10.1016/0029-5493(95)01123-4 Tang SC. Application of an anisotropic hardening rule to springback prediction. In: Altan T, editor. Advanced technology of plasticity (Proceedings of the 5th ICTP), Columbus, Ohio, 1996, vol. II. p. 719–22. Kuwabara T, Seki N, Takahashi S. A rigorous numerical analysis of residual curvature of sheet metals subjected to bending–unbending under tension. In: Geiger M, editor. Advanced technology of plasticity, vol. II. Berlin: Springer, 1999. p. 1071–5. ABAQUS user Manual, version 5.7 or recently 5.8.14. Wagoner RH, Wang CT, Nakamachi E. Quick analysis of sheet forming using sectional FEM. Proceedings of the First Japan International SAMPE Symposium Exhibition, SAMPE, 1989. p. 695–700. Wang CT, Wagoner RH, Square-punch forming: section analysis and bending study (SAE paper no. 910772), Autobody stamping technology progress. Soc. Auto. Engrs., SP-865, Warrendale, Pennsylvania, 1991. p. 119–27. Wang CT, Wagoner RH. Plane-strain deep drawing: finite element modeling and measurements (SAE paper no. 910774), Autobody stamping technology progress. Soc. Auto. Engrs., SP-865, Warrendale, Pennsylvania, 1991. p. 133–42. Saran, 1991, Section analysis with irregular tools and arbitrary draw-in conditions for numerical simulation of sheet forming, International Journal of Mechanical Sciences, 33, 893, 10.1016/0020-7403(91)90010-Z Keum, 1992, Practical die design via section analysis, Journal of Materials Processing Technology, 35, 1, 10.1016/0924-0136(92)90299-8 Germain, 1989, A rigid-visco-plastic finite element program for sheet metal analysis, International Journal of Mechanical Sciences, 31, 1, 10.1016/0020-7403(89)90115-X Keum YT, Nakamachi E, Wagoner RH, Lee JK. Compatible description of tool surfaces and FEM meshes for analyzing sheet forming operations. In: Thompson EG, Wood RD, Zienkiewicz OC, Samuelsson A, editors. NUMIFORM ’89-numerical methods in industrial forming processes. Rotterdam: Balkema, 1989. p. 489–496. Wagoner RH, Kim YH, Keum YT. 3-D sheet forming analysis including the effects of strain hardening, rate sensitivity, anisotropy, friction, heat generation, and transfer. Advanced technology of plasticity. Japan Society of Technology of Plasticity, 1990. p. 1751–6. Kim, 1991, A 3-D finite element method for non-isothermal sheet forming processes, International Journal of Mechanical Sciences, 33, 911, 10.1016/0020-7403(91)90011-Q Wagoner RH, Zhou D. Analyzing sheet forming operations—recent numerical and experimental advances. In: Chenot J-L, Wood RD, Zienkiewicz OC, editors. Numerical methods in industrial forming processes—NUMIFORM ’92. Rotterdam: A.A. Balkema, 1992. p. 123–32. Wagoner RH, Zhou D. Recent advances in 3-D numerical simulation of sheet forming operations. In: Wang ZR, Yuxin He, editors. Advanced technology of plasticity—1993. Beijing: Int. Academic Publ., 1993. p. 1747–55. Zhou, 1995, Development and application of sheet forming simulation, Journal of Materials Processing Technology, 50, 1, 10.1016/0924-0136(94)01366-9 Saran, 1991, A consistent implicit formulation for nonlinear finite element modeling with contact and friction, Part 1—Theory, ASME Transactions, Journal of Applied Mechanics, 58, 499, 10.1115/1.2897212 Saran, 1991, A consistent implicit formulation for nonlinear finite element modeling with contact and friction, Part 2—numerical verification and results, ASME Transactions, Journal of Applied Mechanics, 58, 507, 10.1115/1.2897213 Zhou D, Wagoner RH. An N-CFS algorithm for sheet forming FE modeling, metal forming process simulation in industry, vol. II. Monchengladbach, Germany: Druckerei GmbH, 1994. p. 57–74. Carden, 2002, Measurement of springback, International Journal of Mechanical Sciences, 44, 79, 10.1016/S0020-7403(01)00082-0 Li KP, Wagoner RH. Simulation of springback. In: Huetink J, Baaijens F.P.T, editors. Simulation of Materials Processing. Rotterdam: A.A. Balkema, 1998. p. 21–32. Frey WH, Wenner ML. Development and application of a one-dimensional finite element code for sheet metal forming. In: Samanta SK, Komanduri D, McMeeking R, Chen MN, Tseng A, editors. Interdisciplinary issues in material processing and manufacturing. New York: ASME, 1987. p. 307–19. Wang, 1988, Analysis of bending effects in sheet metal forming operations, International Journal for Numerical Methods in Engineering, 25, 253, 10.1002/nme.1620250119 Joannic D, Gelin JC. Shape defects in sheet metal forming operations after springback. NUMISHEET ’99. 1999. p. 29–34. Wang, 1993, Mechanical modeling of plane-strain bending of sheet and plate, Journal of Materials Processing Technology, 39, 279, 10.1016/0924-0136(93)90164-2 Hosford, Caddell R. Metal forming: mechanics and metallurgy. Englewood Cliffs, NJ: Prentice-Hall, 1993. Burgoyne, 1990, Numerical integration strategy for plates and shells, International Journal for Numerical Methods in Engineering, 29, 105, 10.1002/nme.1620290108 I-Nan, Chou, Hung C. Finite element analysis and optimization on springback reduction. International Journal of Machine Tools and Manufacture 1999;39:517–36. Park DW, Kang JJ, Hong JP, Oh SI. Springback simulation by combined method of explicit and implicit FEM. NUMISHEET ’99. 1999. p. 35–40. Horrocks, 1967, On anticlastic curvature with special reference to plastic bending: a literature survey and some experimental investigations, International Journal of Mechanical Sciences, 8, 835, 10.1016/0020-7403(67)90011-2 Jetteur, 1991, A mixed finite element for the analysis of large inelastic strains, International Journal for Numerical Methods in Engineering, 31, 229, 10.1002/nme.1620310203 Balakrishnan V. Measurement of in-plane Bauschinger effect in metal sheets. Masters thesis, The Ohio State University, Ohio, 1999. Hodge, 1957, A new method of analyzing stresses and strains in work hardening plastic solids, Journal of Applied Mechanics, 24, 482, 10.1115/1.4011571 Prager, 1956, A new method of analyzing stresses and strains in work hardening plastic solids, Journal of Applied Mechanics, 23, 493, 10.1115/1.4011389 Ziegler, 1959, A modification of Prager's hardening rule, Quarternery Applied Mathematics, 17, 55, 10.1090/qam/104405 Geng LM. Application of plastic anisotropy and non-isotropic hardening to springback prediction. Ph.D. thesis, The Ohio State University, Ohio, June 2000. Hill, 1951 Proceedings of the Sixth International Conference on Numerical Methods in Industrial Forming Processes NUMIFORM ’98—Simulation of Materials Processing: Theory, Methods and Applications, 1998.