Despite the high demand for industrial applications of magnesium, the forming technology for wrought magnesium alloys is not fully developed due to the limited ductility and high sensitivity to the processing parameters. The processing window for magnesium alloys could be significantly widened if the lower-bound ductility (LBD) for a range of stresses, temperature, and strain rates was known. LBD is the critical strain at the moment of fracture as a function of stress state and temperature. Measurements of LBD are normally performed by testing in a hyperbaric chamber, which is highly specialized, complex, and rare equipment. In this paper an alternative approach to determine LBD is demonstrated using wrought magnesium alloy AZ31 as an example. A series of compression tests of bulge specimens combined with finite element simulation of the tests were performed. The LBD diagram was then deduced by backward calculation.

1.
Takuda
,
H.
,
Fujimoto
,
H.
, and
Hatta
,
N.
, 1998, “
Modelling of Flow Stress of Mg-Al-Zn Alloys at Elevated Temperatures
,”
J. Mater. Process. Technol.
0924-0136,
80–81
, pp.
513
516
.
2.
Mwembela
,
A.
,
Konopleva
,
E. V.
, and
McQeen
,
H. J.
, 1997, “
Microstructural Development in Mg Alloy AZ31 during Hot Working
,”
Scr. Mater.
1359-6462,
37
(
11
), pp.
1789
1795
.
3.
Kainer
,
K. U.
, 2004, “
Deformation Behaviour of AZ Alloys at High Strain Rates, Magnesium
,”
Proceeding of the 6th International Conference “Magnesium Alloys and Their Applications
,” November 2003,
Wiley-VCH Verlag
,
Wolfsburg
, pp.
369
374
.
4.
Ben-Artzy
,
A.
,
Shtechman
,
A.
,
Ben-Ari
,
N.
, and
Dayan
,
D.
, 2000, “
Deformation Characteristics of Wrought Magnesium Alloys AZ31, ZK60
,
Proceeding “Magnesium Technology, 2000
,” March 2000,
H. I.
Kaplan
,
J.
Hryn
, and
B.
Clow
, Eds.,
The Mineral, Metals & Materials Society
,
Ohio
, pp.
363
374
.
5.
Lapovok
,
R.
,
Smirnov
,
S.
, and
Shveykin
,
V.
, 2000, “
Damage Mechanics for the Fracture Prediction of Metal Forming Tools
,”
Int. J. Fract.
0376-9429,
103
(
2
), pp.
111
126
.
6.
Lapovok
,
R.
,
Smirnov
,
S.
, and
Shveykin
,
V.
, 1996, “
Ductility Defined as Critical Local Strain
,”
Proceedings of 1st Ausralasian Congress on Applied Mechanics, February 1996
,
Melbourne
, Australia, pp.
181
185
.
7.
Lapovok
,
R.
, 1998, “
Improvement of Die Life by Minimisation of Damage Accumulation and Optimisation of Preform Design
,”
J. Mater. Process. Technol.
0924-0136,
80–81
, pp.
608
612
.
8.
Bridgman
,
P. W.
, 1970, “
The Physics of High Pressure
,
Dover
, New York.
9.
Lapovok
,
R.
, 1993, “
Optimisation of Metal Processing Technology by CAD
,”
Proceedings 2nd Asian–Pacific Conference on Computational Mechanics
,
Balkema
, Rotterdam, The Netherlands, pp.
955
959
.
10.
Klocke
,
F.
, and
Breuer
,
D.
, 2004, “
Using the Finite Element Method and Artificial Neural Networks to Predict Ductile Fracture in Cold Forming Processes
,”
AIP Conf. Proc.
0094-243X,
712
(
2
), pp.
1944
1949
.
11.
Smirnov
,
S. V.
,
Lapovok
,
R.
,
Semibratov
,
G. G.
, and
Agasyanz
,
G. A.
, 1993, “
The Calculation of Stress-Deformed State of Metal by Cold Rolling in Non-driven Rolls
,” Kuznechno-Shtampovochnoe Proizvodstvo, 10, October 1993, pp.
5
6
.
12.
Biba
,
N.
,
Lishnij
,
A.
,
Sadykhov
,
O.
, and
Stiebounov
,
S.
, 1994, “
Finite Element Simulation and Computer Aided Design of Forming Technology
,”
Proceeding of the “International Conference and Workshop on Metal Forming Simulation in Industry, September 1994
,
2
,
Baden-Baden
, Germany, pp.
302
320
.
13.
Biba
,
N.
, and
Stiebounov
,
S.
,
Q-Form User’s Guide
, 2000,
Quantor Ltd.
,
Moscow
.
14.
Kachanov
,
L. M.
, 1986,
Introduction to Continuum Damage Mechanics
,
Kluwer Academic
, Dordrecht, The Netherlands.
15.
Lemaitre
,
J.
, and
Dufailly
,
J.
, 1987, “
Damage Measurements
,”
Eng. Fract. Mech.
0013-7944,
28
(
5/6
), pp.
643
661
.
16.
Bogatov
,
A. A.
,
Smirnov
,
S. V.
, and
Miziridsky
,
O. I.
, 1985,
Resource of Metal Plasticity by Metal Forming
,
Metallurgy
,
Moscow
, Metallurgiya, Moskow (in Russian).
18.
Fujita
,
M.
,
Sakate
,
N.
,
Hirahara
,
S.
, and
Yamamoto
,
Y.
, 1995, “
Development of Magnesium Forged Road Wheel
,”
Technical Notes, Society of Automotive Engineers of Japan
,
16
, pp.
299
301
.
19.
Matossian
,
H. A.
, and
Matsou
,
G. A.
, Process of Manufacturing One-Piece Forged Wheels, U.S. Patent No. US5446962.
20.
Lapovok
,
R.
, 1998, “
Improvement of Die Life by Minimisation of Damage Accumulation and Optimisation of Preform Design
,”
J. Mater. Process. Technol.
0924-0136,
80–81
, pp.
608
612
.
You do not currently have access to this content.