This paper presents a computational tool for the analysis of freely hydroformed tubes by means of an inverse approach. The formulation of the inverse method developed by Guo et al. [1] is adopted and extended to the tube hydroforming problems in which the initial geometry is a round tube submitted to hydraulic pressure and axial feed at the tube ends (end-feed). A simple criterion based on a forming limit diagram is used to predict the necking regions in the deformed workpiece. Although the developed computational tool is a stand-alone code, it has been linked to the Marc finite element code for meshing and visualization of results. The application of the inverse approach to tube hydroforming is illustrated through the analyses of the aluminum alloy AA6061-T4 seamless tubes under free hydroforming conditions. The results obtained are in good agreement with those issued from a direct incremental approach. However, the computational time in the inverse procedure is much less than that in the incremental method.

1.
Guo
,
Y. Q.
,
Batoz
,
J. L.
,
Detraux
,
J. M.
, and
Duroux
,
P.
,
1990
, “
Finite Element Procedures for Strain Estimations of Sheet Metal Forming Parts
,”
Int. J. Numer. Methods Eng.
,
30
, pp.
1385
1401
.
2.
Zhang
,
S. H.
,
1999
, “
Developments in Hydroforming
,”
J. Mater. Process. Technol.
,
91
, pp.
236
244
.
3.
Ahmetoglu
,
M.
, and
Altan
,
T.
,
2000
, “
Tube Hydroforming: State-of-the-Art and Future Trends
,”
J. Mater. Process. Technol.
,
98
, pp.
25
33
.
4.
Asnafi
,
N.
,
1999
, “
Analytical Modeling of Tube Hydroforming
,”
Thin-Walled Struct.
,
34
, pp.
295
330
.
5.
Chenot, J. L., Wood, R. D., and Zienkiewicz, O. C. eds, 1992, “Numerical Methods in Industrial Forming Processes,” NUMIFORM 92, Balkema, Rotterdam, Brookfield.
6.
Owen, D. R. J., Onate, E., and Hinton, E., eds, 1997, “Computational Plasticity — Fundamentals and Applications,” COMPLAS V, CIMNE, Barcelona.
7.
Guo
,
Y. Q.
,
Batoz
,
J. L.
,
Naceur
,
H.
,
Bouabdallah
,
S.
,
Mercier
,
F.
, and
Barlet
,
O.
,
2000
, “
Recent Developments on the Analysis and Optimum Design of Sheet Metal Forming Parts Using a Simplified Inverse Approach
,”
Comput. Struct.
,
78
, pp.
133
148
.
8.
Batoz
,
J. L.
,
Guo
,
Y. Q.
, and
Mercier
,
F.
,
1998
, “
The Inverse Approach With Simple Triangular Shell Elements for Large Strain Predictions of Sheet Metal Forming Parts
,”
Engineering Computations
,
15
(
7
), pp.
864
892
.
9.
Chung
,
K.
,
Barlat
,
F.
,
Brem
,
J. C.
,
Lege
,
D. J.
, and
Richmond
,
O.
,
1997
, “
Blank Shape Design for a Planar Anisotropic Sheet Based on Ideal Forming Design Theory and FEM Analysis
,”
Int. J. Mech. Sci.
,
39
(
1
), pp.
105
120
.
10.
Chung
,
K.
,
Yoon
,
J.-W.
, and
Richmond
,
O.
,
2000
, “
Ideal Sheet Forming With Frictional Constraints
,”
Int. J. Plast.
,
16
, pp.
595
610
.
11.
Lee
,
C. H.
, and
Huh
,
H.
,
1998
, “
Blank Design and Strain Estimates for Sheet Metal Forming Processes by a Finite Element Inverse Approach With Initial Guess of Linear Deformation
,”
J. Mater. Process. Technol.
,
82
, pp.
145
155
.
12.
Davies, R., Grant, G., Herling, D., and Smith, M., 2000, “Formability Investigation of Aluminum Extrusions Under Hydroforming Condition,” SAE Technical Paper Series, Paper # 2000-01-2675, International Body Engineering Conference, Detroit, Michigan, October.
13.
Nguyen, B. N., Johnson, K. I., Davies, R. W., and Khaleel, M. A., 2002, “Inverse Analysis of Tube Free Hydroforming,” Plasticity, Damage and Fracture at Macro, Micro and Nano Scales, Proceedings of Plasticity 02, Khan, A. S., Lopez-Pamies, O., eds, NEAT Press, Maryland, pp. 427–429.
14.
Nguyen, B. N., Johnson, K. I., Davies, R. W., and Khaleel, M. A., 2002, “A Computation Tool for Hydroforming Prediction Using an Inverse Approach,” SAE Technical Paper Series, Paper # 2002-01-0785, SAE 2002 World Congress, Detroit, Michigan, March.
15.
Hill
,
R.
,
1948
, “
A Theory of the Yielding and Plastic Flow of Anisotropic Metals
,”
Proc. R. Soc. London, Ser. A
,
A193
, pp.
281
297
.
16.
Lemaitre, J., and Chaboche, J. L., 1985, Me´canique des Mate´riaux Solides, Bordas, Paris.
You do not currently have access to this content.