The wrinkling research in sheet metal forming process has always been one of the most common hot topics. There are many methods to predict the sheet metal wrinkling while it is still difficult to accurately predict the initiation of wrinkling. The variational study of the potential function can be used to analyze the sheet metal wrinkling and acquire the stable energy criterion. In this paper, the sheet metal wrinkling mechanisms are explained in detail, and a wrinkling prediction model is proposed based on derivation and the potential function analysis during sheet metal forming processes. Meanwhile, the finite element (FE) simulation and experimental results of Yoshida buckling test (YBT) are used to verify the accuracy of the theoretical wrinkling prediction model. And the wrinkling prediction model has also applied to analyze the conventional spinning forming process, and the critical moment of flange wrinkling had been accurately predicted.

References

1.
Morovvati
,
M. R.
,
Mollaei-Dariani
,
B.
, and
Asadian-Ardakani
,
M. H.
,
2010
, “
A Theoretical, Numerical, and Experimental Investigation of Plastic Wrinkling of Circular Two-Layer Sheet Metal in the Deep Drawing
,”
J. Mater. Process. Technol.
,
210
(
13
), pp.
1738
1747
.
2.
Jiang
,
W.
, and
Li
,
Z.
,
2009
, “
A Numerical Study of the Wrinkling Evolution of an Elastic Film on a Viscous Layer
,”
Modell. Simul. Mater. Sci. Eng.
,
17
(
5
), p.
055010
.
3.
Agrawal
,
A.
,
Reddy
,
N. V.
, and
Dixit
,
P. M.
,
2011
, “
Prediction of Wrinkling and Determination of Minimum Blank Holding Pressure in Multistage Deep Drawing
,”
ASME J. Manuf. Sci. Eng.
,
133
(
6
), p.
061023
.
4.
Zhao
,
G. Y.
, Liu, Y. L., Dong, C. S., Yang, H., and Fan, X. G.,
2010
, “
Analysis of Wrinkling Limit of Rotary-Draw Bending Process for Thin-Walled Rectangular Tube
,”
J. Mater. Process. Technol.
,
210
(
9
), pp.
1224
1231
.
5.
Geckeler
,
J. W.
,
1928
, “
Plastisches Knicken Der Wandung Von Hohlzylindern Und Einige Andere Faltungserscheinungen an Schalen Und Blechen. ZAMM
,”
J. Appl. Math. Mech.
,
8
(
5
), pp.
341
352
.
6.
Mekonen
,
M. N.
, Steglich, D., Bohlen, J., Stutz, L., Letzig, D., and Mosler, J.,
2013
, “
Experimental and Numerical Investigation of Mg Alloy Sheet Formability
,”
Mater. Sci. Eng. A
,
586
(
12
), pp.
204
214
.
7.
Dangora
,
L.
,
Mitchell
,
C.
,
Sherwood
,
J. A.
, and
Parker
,
J. C.
,
2017
, “
Deep-Drawing Forming Trials on a Cross-Ply Thermoplastic Lamina for Helmet Preform Manufacture
,”
ASME J. Manuf. Sci. Eng.
,
139
(
3
), p. 031009.
8.
Szacinski
,
A. M.
, and
Thomson
,
P. F.
,
1984
, “
The Effect of Mechanical Properties on the Wrinkling Behavior of Sheet Materials in the Yoshida Test
,”
J. Mech. Work. Technol.
,
10
(
1
), pp.
87
102
.
9.
Yoshida
,
K.
,
1983
, “
Purposes and Features of the Yoshida Wrinkling Test
,”
J. JSTP
,
24
(
272
), pp.
901
908
.
10.
Li
,
M.
,
Brazill
,
R. L.
, and
Chu
,
E. W.
,
2000
, “
Initiation and Growth of Wrinkling Due to Nonuniform Tension in Sheet Metal Forming
,”
Exp. Mech.
,
40
(
2
), pp.
180
189
.
11.
Chu
,
E.
,
2000
, “
On Elastoplastic Buckling of Aluminum Sheet
,”
SAE
Paper No. 2000-01-0767.
12.
Scherzinger
,
W.
,
Chu
,
E.
, and
Triantafyllidis
,
N.
,
2000
, “
Asymptotic Stability Analysis for Sheet Metal Forming—Part II: Application
,”
ASME J. Appl. Mech.
,
67
(
4
), pp.
691
696
.
13.
Li
,
H.
, Yang, H., Zhan, M., and Kou, Y. L.,
2010
, “
Deformation Behaviors of Thin-Walled Tube in Rotary Draw Bending Under Push Assistant Loading Conditions
,”
J. Mater. Process. Technol.
,
210
(
1
), pp.
143
158
.
14.
Damil
,
N.
,
Potier-Ferry
,
M.
, and
Hu
,
H.
,
2013
, “
New Nonlinear Multi-Scale Models for Wrinkled Membranes
,”
C. R. Méc.
,
341
(
8
), pp.
616
624
.
15.
Attipou
,
K.
, Hu, H., Mohri, F., Potier-Ferry, M., and Belouettar, S.,
2015
, “
Thermal Wrinkling of Thin Membranes Using a Fourier-Related Double Scale Approach
,”
Thin-Walled Struct.
,
94
, pp.
532
544
.
16.
Chang
,
D. F.
, and
Wang
,
J.
,
2006
, “
Optimized Upper Bound Analysis of Axisymmetric Extrusion Using Spherical Velocity Field
,”
ASME J. Manuf. Sci. Eng.
,
128
(
1
), pp.
4
10
.
17.
Hsu
,
T. C.
, and
Hsieh
,
S. J.
,
1996
, “
Theoretical and Experimental Analysis of Failure for the Hemisphere Punch Hydroforming Processes
,”
ASME J. Manuf. Sci. Eng.
,
118
(
3
), pp.
434
438
.
18.
Li
,
G.
,
Shen
,
H.
, and
Ling
,
X.
,
2001
, “
The Characteristics of Instability in Solid Materials
,”
Acta Mech. Sin.
,
33
(
3
), pp.
332
339
.
19.
Lecieux
,
Y.
, and
Bouzidi
,
R.
,
2012
, “
Numerical Wrinkling Prediction of Thin Hyperelastic Structures by Direct Energy Minimization
,”
Adv. Eng. Software
,
50
(
6
), pp.
57
68
.
20.
Meng
,
X.
, Liu, G., Wang, Z., and Wang, S.,
2017
, “
Analytical Study of Wrinkling in Thin-Film-on-Elastomer System With Finite Substrate Thickness
,”
Appl. Math. Mech.
,
38
(
4
), pp.
1
10
.
21.
Xu
,
B.-Y.
,
1995
,
Application of Elastic and Plastic Mechanics
,
Tsinghua University Press
,
Beijing, China
, pp.
120
121
.
22.
Washizu
,
K.
,
1975
,
Variational Methods in Elasticity and Plasticity
,
Science press
,
Beijing, China
, pp.
169
170
.
23.
Timoshenko
,
S. P.
, and
Gere
,
J. M.
,
1963
, “
Theory of Elastic Stability
,”
International Student Edition
, 2nd ed,
McGraw-Hill
, New York, pp.
357
360
.
24.
Han
,
Q.
,
2000
,
Dynamic Buckling and Bifurcation of Elastoplastic Systems
,
Science Press
,
Beijing, China
, pp.
180
182
.
25.
Yu
,
T.
,
1992
,
Plastic Bending Theory and Its Application
,
Science Press
,
Beijing, China
, pp.
318
320
.
26.
Pan
,
Y.
,
2008
,
Application of Catastrophe Theory to Dynamic Instability of Rock Mass System
,
Science Press
,
Beijing, China
, pp.
10
12
.
27.
Wang
,
X.
, and
Cao
,
J.
,
2000
, “
On the Prediction of Side-Wall Wrinkling in Sheet Metal Forming Processes
,”
Int. J. Mech. Sci.
,
42
(
12
), pp.
2369
2394
.
28.
Xia
,
Q.
, Xiao, G., Long, H., Cheng, X., and Sheng, X.,
2014
, “
A Review of Process Advancement of Novel Metal Spinning
,”
Int. J. Mach. Tools Manuf.
,
85
(
7
), pp.
100
121
.
29.
Music
,
O.
,
Allwood
,
J. M.
, and
Kawai
,
K.
,
2010
, “
A Review of the Mechanics of Metal Spinning
,”
J. Mater. Process. Technol.
,
210
(
1
), pp.
3
23
.
30.
Kong
,
Q.
,
Yu
,
Z.
,
Zhao
,
Y.
, Wang, H., and Lin, Z.,
2017
, “
Theoretical Prediction of Flange Wrinkling in First-Pass Conventional Spinning of Hemispherical Part
,”
J. Mater. Process. Technol.
,
246
, pp.
56
68
.
You do not currently have access to this content.