In the sheet metal forming industry, there is increasing demand to lower manufacturing costs while also providing a decrease in product development turnaround period as well as lighter weight products. These demands have put increasing pressure on the development and use of predictive numerical simulations and in the design and optimization of new forming technologies. In this paper, two of the primary in-process failure modes of sheet metal, wrinkling and tearing, are examined followed by construction of an advanced forming technology—Variable Binder Force—using numerical tools. Specifically, a methodology of capturing the onset of wrinkling and postbuckling behavior proposed in Cao and Boyce (1997) is used to predict wrinkling failure in conical and square cup forming. The results obtained from simulations and experiments demonstrate that the proposed method is not only accurate, but also robust. A tearing criterion based on Forming Limit Diagrams of non-proportional loading paths is then developed and again shows excellent predictability. Finally, a Variable Binder Force (VBF) trajectory for conical cup forming is designed using simulations which incorporate feedback control to the binder based on the predictions of wrinkling and tearing of the sheet. Experiments using this predefined VBF trajectory show a 16 percent increase informing height over the best conventional forming method, that is, constant binder force. The uniqueness of this paper is that numerical simulation is no longer utilized only as a verification tool, but as a design tool for, advanced manufacturing process with the help of the predictive tools incorporated directly into the numerical model.

1.
ABAQUS Manual Version 5.4 (1994), Hibbitt, Karlsson & Sorensen, Inc.
2.
Anand
L.
, and
Tong
W.
(
1993
), “
Constitutive Model for Friction in Forming
,”
CIRP Annuls
, Vol.
42
(
1
), pp.
361
366
.
3.
Bakkestuen, R. S. (1994), “Closed Loop Control of Forming Stability During Aluminum Stamping,” M. S. thesis, Massachusetts Institute of Technology, Cambridge, MA.
4.
Barlat
F.
(
1987
), “
Crystallographic texture, anisotropic yield surface and forming limits of sheet metals
,”
Mat. Sci. Eng.
, Vol.
91
, pp.
55
72
.
5.
Cao, J. and Boyce, M. (1994), Design and Control of Forming Parameters Using Finite Element Analysis, Symposium on Computational Material Modeling, ASME, Chicago, IL.
6.
Cao, J. (1995), “Design and Control of Forming Parameters Using Finite Element Analysis,” Ph.D. Thesis, MIT.
7.
Cao
J.
and
Boyce
M. C.
(
1997
), “
Wrinkling Behavior of Rectangular Plates under Lateral Constraint
,”
Int. J. Solids Structures
, Vol.
34
(
2
), pp.
153
176
.
8.
Cao, J., Karaflllis, A and Boyce, M. C. (1997), “Prediction of Forming Limit Diagram using KB yield criterion,” International Symposium on Plasticity and its current Applications.
9.
Fatnassi
A.
,
Tomita
Y.
and
Shindo
A.
(
1985
) “
Non-Axisymmetric Buckling Behavior of Elastic-Plastic Circular Tubes Subjected to a Nosing Operation
,”
Int. J. Mech. Sci.
, Vol.
27
, pp.
643
651
.
10.
Fenn
R.
and
Hardt
D. E.
(
1993
) “
Real-Time Control of Sheet Stability During Forming
,”
ASME Journal of Engineering for Industry
, Vol.
115
(
3
), Aug., pp.
299
308
.
11.
Ghosh, A. K. (1978) “Plastic Flow Properties in Relation to Localized Necking in Sheets,” Mechanics of Sheet Metal Forming, Koistinen, D. P. and Wang, N. M., eds., Plenum Press, 287–312.
12.
Goodwin, G. M. (1968) “Application of Strain Analysis to Sheet Metal Forming Problems in the Press Shop,” SAE paper, No. 680093.
13.
Graf, A., and Hosford, W. (1993), “Plane-Strain Tension Tests of AL2008-T4 Sheets,” Sheet Metal and Stamping Symposium SAE Pub., 944, Warrendale, PA, pp. 269–272.
14.
Hill
R.
(
1952
), “
On Discontinuous Plastic States, with Special Reference to Localized Necking in Thin Sheets
,”
J. Mech. Phys. Solids
, Vol.
1
, pp.
19
30
.
15.
Hill
R.
(
1958
), “
A General Theory of Uniqueness and Stability in Elastic/Plastic Solids
,”
J. Mech. Phys. Solids
, Vol.
6
, pp.
236
249
.
16.
Hirose Y., Hishida Y., Furubayashi, T., Oshima, M., and Ujihara S. (1990), “Part II: Application of BHF-Controlled Forming Techniques,” Proc. 4th Symposium of the Japanese Society for the Technology of Plasticity.
17.
Hutchinson
J. W.
(
1974
),
Plastic Buckling
,
Adv. in Appl. Mech.
, Vol.
14
, pp.
67
144
.
18.
Hutchinson, J. W., and Neale, K. W. (1978), “Sheet Necking,” Mechanics of Sheet Metal Forming, Koistinen, D. P. and Wang, N. M., eds Plenum Press, pp. 127–151.
19.
Hutchinson, J. W., and Neale, K. W. (1985), “Wrinkling of Curved Thin Sheet Metal,” Plastic Instability, Presses Fonts et Chausse´es, Paris, pp. 71–78.
20.
IDDRG (1994), International Deep Drawing Conference 1994, Lisboa, Portugal.
21.
Jalkh, P., Cao, J., Hardt, D., and Boyce, M. C. (1993), “Optimal Forming of Aluminum 2008-T4 Conical Cups Using Force Trajectory Control,” Sheet Metal and Stamping Symposium, SAE, Warrendale, PA, pp. 101–112.
22.
Karafillis, A. P. (1992), “Tooling Design for Sheet Metal Forming Using Finite Element Analysis,” S.M. Thesis, Massachusetts Institute of Technology.
23.
Keeler
S. P.
, and
Backofen
W. A.
(
1964
) “
Plastic Instability and Fracture in Sheet Stretched Over Rigid Punches
,”
ASM Transactions Quarterly
, Vol.
56
, pp.
25
48
.
24.
Kleemola
H.
, and
Pelkkikagas
M.
(
1977
), “
Effect of Predeformation and Strain Path on the Forming Limits of Steel, Copper and Brass
,”
Sheet Met. Ind.
, Vol.
54
(
6
), pp.
591
599
.
25.
Lee, C., and Hardt, D. E. (1986), “Closed-Loop Control of Sheet Metal Stability During Stamping,” 1986 North American Manufacturing Research Conference, May 28–30.
26.
Marciniak
Z.
, and
Kuczynski
K.
(
1967
), “
Limit Strains in the Processes of Stretch Forming Steel Metal
,”
Int. J. Mech. Sci.
, Vol.
9
, pp.
609
620
.
27.
Neale
K. W.
, and
Chater
E.
(
1980
), “
Limit Strain Prediction for Strain-Rate Sensitive Anisotropic Sheets
,”
Int. J. Mech. Sci.
, Vol.
22
, pp.
563
574
.
28.
NumiForm (1992), Numerical Methods in Industrial Forming Processes, A. A. Balkema, Rotterdam, Netherlands.
29.
NumiSheet (1993), Numerical Simulationof 3-D sheet Metal Forming Processes, Makinouchi, Tokyo, Japan.
30.
Rebelo
N.
,
Nagtegaal
J. C.
and
Hibbitt
H. D.
, (
1990
), “
Finite element analysis of sheet forming processes
,”
Int. J. Num. Meth. Eng.
, Vol.
30
, p.
1471
1471
.
31.
SAE (1995), Sheet Metal and Stamping Symposium, 1995 Soc. Auto. Eng. Inter. Cong. & Exp., Detroit, MI.
32.
Sim
H. B.
, and
Boyce
M. C.
(
1992
), “
Finite Element Analysis of Real-Time Stability Control in Sheet Forming Processes
,”
ASME JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY
, Vol.
114
(
2
), Apr, pp.
180
188
.
33.
Sowerby
R.
, and
Duncan
J. L.
(
1971
) “
Failure in Sheet Metal in Biaxial Tension
,”
Int. J. Mech. Sci.
, Vol.
13
, pp.
217
229
.
34.
Sto¨ren
S.
, and
Rice
J. R.
(
1975
), “
Localized Necking in Thin Sheets
,”
J. Mech. Phys. Solids
, Vol.
23
, pp.
421
441
.
35.
Taylor
L.
,
Cao
J.
,
Karaflllis
A. P.
and
Boyce
M. C.
(
1995
), “
Numerical Simulations of Sheet Metal Forming
,”
J. Mat. Proc. Tech.
, Vol.
50
, pp.
168
179
.
36.
Tomita
Yoshihiro
(
1994
), “
Simulations of Plastic Instabilities in Solid Mechanics
,”
Appl. Mech. Rev.
, Vol.
47/6
, pp.
171
205
.
37.
Traversin
M.
and
Kergen
R.
(
1995
), “
Closed Loop Control of the Blank-Holder Force in Deep-Drawing: Finite Elements Modelling of its Effects and Advantages
,”
J. Mat. Proc. Tech.
, Vol.
50
, pp.
306
317
.
38.
Triantafyllidis
N.
and
Needleman
A.
(
1980
), “
An Analysis of Wrinkling in the Swift Cup Test
,”
ASME JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY
, Vol.
102
, pp.
241
248
.
39.
Tvergaard
V.
(
1978
) “
Effect of Kinematic Hardening on Localized Necking in Biaxially Stretched Sheets
,”
Int. J. Mech. Sci.
, Vol.
20
, pp.
651
658
.
This content is only available via PDF.
You do not currently have access to this content.