Springback in a forming process is due to the elastic deformation of the part during unloading. This manufacturing defect can be accounted for through proper tooling design or through proper design and control of the magnitude and history of restraining force. Using finite element analyses of the process: (1) the effects of restraining force on the springback phenomena when stamping channels from aluminum sheet are investigated; (2) a strategy to control the binder force during the forming operation in order to reduce springback and simultaneously avoid tearing failure is described; and (3) a binder force control strategy which provides robustness in the presence of process parameter uncertainty is implemented. The process history and controller designed using finite element analyses is then experimentally verified: excellent agreement between simulation and experiments is obtained. A binder force history, which leads to a significant reduction in the amount of springback incurred by the formed part without reaching critical stretching conditions, was proposed. Although an optimal forming history was found, in order to ensure that part shape error remained minimized even in the event of variations in processing parameters such as friction, a closed-loop control algorithm was developed whereby the binder force is altered during the process in order to provide a robust, repeatable stretching history. Experiments were performed using a double-action servo-controlled process and were found to produce the desired results demonstrating both the accuracy of the numerical simulation and the success of the proposed active-binder force control method to obtain net shape.

1.
ABAQUS, 1994, User’s Manual, Theory Manual, version 5.3. Hibbit, Karlsson and Sorensen, Providence, Rhode Island.
2.
Ayres
R. A.
,
1984
, “
SHAPESET: a process to reduce sidewall curl springback in high-strength steels rails
.”
J. Appl. Metalworking
,
3
,
127
127
.
3.
Boyce, M. C, 1994, “Finite Element Simulations in Mechanics of Materials and Deformation Processing Research,” Proc. of ABAQUS Users’ Conference, Newport, RI.
4.
Cao, J., Bakkestuen, R., Jalkh, P., Boyce, M. C., and Hardt, D., 1994, “Improvement of forming height and stability of aluminum parts using active binder control,” IDDRG Congress, Portugal.
5.
Gardiner
F. G.
,
1958
, “
The springback of metals
,”
Trans. ASME
,
79
,
1
1
.
6.
Graf, A., and Hosford, W., 1993, “Plane-strain tension test of AL 2008-T4 sheets,” Proc. SAE Congress Symposium on Sheet Forming, Detroit.
7.
Gu, X., Gerdeen, J. C., and Berak, E. G., 1988, “Buckling of imperfect panels under temperature variation,” ASME Press. Vessels Piping Conf. 149, 7.
8.
Hardt, D. E., and Fenn, R. C, 1990, “Real-time sheet forming stability control,” Proc. 16th Biennial IDDRG Congress, Borlange, Sweden.
9.
Ingvarson, J., 1975, “Residual stresses. Effect on buckling,” Proc. 3rd Int. Spec. Conf. on Cold Formed Steel Strct., 85.
10.
International Workshop on the Application of Closed-Loop Control in Metal-Forming Processes. Michigan Technological University, Houghton, MI, March 24–25, 1994.
11.
Jalkh, P., Cao, J., Hardt, D., and Boyce, M. C., 1993, “Optimal forming of aluminum 2008-T4 conical cups using force trajectory control,” Proc. SAE Congress Symposium on Sheet Forming, Detroit, 101.
12.
Johnson
W.
, and
Yu
T. X.
,
1981
, “
Springback after the biannual elastic-plastic pure bending of a rectangular plate
,”
Int. J. Mech. Sci.
,
23
,
619
619
.
13.
Johnson
W.
, and
Yu
T. X.
,
1981
, “
On the range of applicability of results for the springback of an elastic/perfectly plastic rectangular plat after subjecting it to biannual pure bending
,”
Int. J. Mech. Sci
,
23
,
631
631
.
14.
Karafillis
A. P.
, and
Boyce
M. C.
,
1992
a, “
Tooling design in sheet metal forming using springback calculations
,”
Int. J. Mech. Sci.
,
34
,
113
113
.
15.
Karafillis
A. P.
, and
Boyce
M. C.
,
1992
b, “
Tooling design accommodating springback errors
,”
J. Mater. Proc. Techn.
,
32
,
499
499
.
16.
Karafillis
A. P.
, and
Boyce
M. C.
,
1996
, “
Tooling and binder design for sheet metal forming compensating springback error
,” (updated reference)
Int. Jnl. Machine Tools and Manufacture
,
36
,
503
503
.
17.
Lee, C., and Hardt, D., 1986, “Closed-Loop control of sheet metal stability during stamping,” North American Manufacturing Research Conference.
18.
Liu
Y. C.
,
1988
, “
The effect of the restraining force on shape deviations in flanged channels
.”
ASME JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY
,
110
,
389
389
.
19.
NUMISHEET’93, Proceeding of Numerical Simulation of 3D Sheet Metal Forming Process, edited by Makinouchi, Nakamachi, et al. Tokyo, Japan.
20.
Proc. 17th IDDRG Biennal Congress, Shenyang, China, 1992.
21.
Proc. 18th IDDRG Biennal Congress, Lisbon, Portugal, 1994.
22.
SAE’95, Symposium of Sheet Metal Stamping, Society of Automative Engineers International Congress & Exposition, Detroit, MI, 1995.
23.
Sim
H. B.
, and
Boyce
M. C.
,
1992
, “
Finite elements analyses of real-time stability control in sheet forming processes
,”
ASME JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY
,
114
,
180
180
.
24.
Sunseri, M., Karafillis, A. P., Cao, J., Boyce, M. C., 1994, “Methods to obtain net shape in aluminum sheet metal forming using active binder control,” Proceedings of the Winter Meeting of ASME, Symposium on Mechanics of Manufacturing Processes.
25.
Tang
S. C.
,
1990
, “
Analysis of springback in sheet forming operation
,”
Adv. Tech. Plastic
,
1
,
193
193
.
26.
Yuen
W. Y. D.
,
1990
, “
Springback in the stretch-bending of the sheet metal with non uniform variation
,”
J. Mater. Proc. Tech.
,
22
,
343
343
.
This content is only available via PDF.
You do not currently have access to this content.