Abstract

The biaxial strain-hardening behaviors of aluminum, α-brass, and austenitic stainless steel are characterized in plane and equibiaxial deformation paths using a novel low-cost biaxial device. These tests are complemented by conventional uniaxial tensile tests and by complex strain path studies consisting of uniaxial tension after biaxial pre-strain. The experimental results are analyzed and compared using two criteria of plasticity: von Mises and Hill. It is shown that different stress-strain curves obtained under different strain paths could not be correlated with the phenomenological yield criteria.

Issue Section:
Research Papers
Keywords:
biaxial tests, biaxial device, cruciform specimen, strain hardening, aluminum, α-(70/30) brass, austenitic stainless steel

References

1.
Ferron
,
G.
 and
Makinde
,
A.
, “
Design and Development of a Biaxial Strength Testing Device
,”
Journal of Testing and Evaluation
 0090-3973, Vol.
16
, No.
3
,
05
1988
, pp.
253
-
256
.
2.
Makinde
,
A.
, “
Mise au point d'un dispositif original de traction biaxiale. Application à l'étude expérimentale de l'écrouissage des métaux sous différens chemins de déformation
,” Doctoral thesis,
ENSMA, Université de Poitiers
,
1986
.
3.
Swift
,
H. W.
,
Journal of the Mechanics and Physics of Solids
 0022-5096 https://doi.org/10.1016/0022-5096(52)90002-1, Vol.
1
,
1952
, pp.
1
-
18
.
Crossref
Search ADS
 
4.
Voce
,
E.
,
Journal of the Institute of Metals
 0020-2975, Vol.
74
, Part II,
1948
, pp.
537
-
562
.
5.
Hecker
,
S. S.
 and
Stout
,
M. G.
, “
Strain Hardening of Heavily Cold Worked Metals
,” in
Deformation Processing and Structures
,
Krauss
 
G.
, Ed.,
American Society for Metals
,
Metals Park, Ohio
,
1984
, pp.
1
-
46
.
6.
Ferron
,
G.
 and
Mliha-Touati
,
M.
,
International Journal of Mechanical Sciences
 0020-7403, Vol.
27
, No.
3
,
1985
, pp.
121
-
133
.
Crossref
Search ADS
 
7.
Makinde
,
A.
 and
Ferron
,
G.
,
Materials Science and Engineering
, Vol.
83
,
1986
, pp.
247
-
254
.
Crossref
Search ADS
 
8.
Hill
,
R.
,
The Mathematical Theory of Plasticity
,
Clarendon Press
,
Oxford
,
1950
, pp.
317
-
336
.
9.
Pearce
,
R.
,
International Journal of Mechanical Sciences
 0020-7403, Vol.
10
,
1968
, pp.
995
-
1005
.
Crossref
Search ADS
 
10.
Woodthorpe
,
J.
 and
Pearce
,
R.
,
International Journal of Mechanical Sciences
 0020-7403, Vol.
12
,
1970
, pp.
341
-
347
.
Crossref
Search ADS
 
11.
Lloyd
,
D. J.
,
McLaughlan
,
B. D.
, and
Sang
,
H.
,
Scripta Metallurgica
, Vol.
11
, No.
4
,
1977
, pp.
301
-
304
.
Crossref
Search ADS
 
12.
Bird
,
J. E.
 and
Duncan
,
J. L.
,
Metallurgical Transactions A
, Vol.
12A
,
1981
, pp.
235
-
241
.
13.
Vial
,
C.
,
Hosford
,
W. F.
, and
Caddell
,
R. M.
,
International Journal of Mechanical Sciences
 0020-7403, Vol.
25
, No.
12
,
1983
, pp.
899
-
915
.
Crossref
Search ADS
 
14.
Parmar
,
A.
 and
Mellor
,
P. B.
,
International Journal of Mechanical Sciences
 0020-7403, Vol.
20
,
1978
, pp.
707
-
720
.
Crossref
Search ADS
 
15.
Asaro
,
R. J.
 and
Needleman
,
A.
,
Acta Metallurgica
 0001-6160 https://doi.org/10.1016/0001-6160(85)90188-9, Vol.
33
, No.
6
,
1985
, pp.
923
-
953
.
Crossref
Search ADS
 
16.
Oztürk
,
T.
 and
Davies
,
G. J.
,
Acta Metallurgica
 0001-6160, Vol.
35
, No.
9
,
1987
, pp.
2307
-
2314
.
Crossref
Search ADS
 
17.
Stout
,
M. G.
 and
Staudhammer
,
K. P.
,
Metallurgical Transactions A
, Vol.
15A
,
1984
, pp.
1607
-
1612
.
18.
Kleemola
,
H. J.
 and
Ranta-Eskola
,
A. J.
,
Metallurgical Transactions A
, Vol.
7A
,
1976
, pp.
595
-
599
.
19.
Ranta-Eskola
,
A.
,
Revue de Métallurgie
,
1980
, pp.
543
-
552
.
20.
Yoshida
,
Y.
 and
Miyauchi
,
K.
, “
Experimental Studies of Material Behavior as Related to Sheet Metal Forming
,” in
Mechanics of Sheet Metal Forming
,
Koistinen
 
D. P.
 and
Wang
 
N.-M.
, Eds.,
Plenum Press
,
New York
,
1978
, pp.
19
-
52
.
Google Scholar
Crossref
Search ADS
 
21.
Waddington
,
E.
,
Hobbs
,
R. M.
, and
Duncan
,
J. L.
,
Journal of Applied Metalworking
, Vol.
1
, No.
2
,
1980
, pp.
35
-
47
.
Crossref
Search ADS
 
22.
Ghosh
,
A. K.
 and
Hecker
,
S. S.
,
Metallurgical Transactions
 0026-086X, Vol.
5
,
1974
, pp.
2161
-
2164
.
Crossref
Search ADS
 
23.
Ghosh
,
A. K.
, “
Plastic Flow Properties in Relation to Localized Necking in Sheets
,” in
Mechanics of Sheet Metal Forming
,
Koistinen
 
D. P.
 and
Wang
 
N.-M.
, Eds.,
Plenum Press
,
New York
,
1978
, pp.
287
-
311
.
Google Scholar
Crossref
Search ADS
 
24.
Wagoner
,
R. H.
,
Metallurgical Transactions A
, Vol.
13A
,
1982
, pp.
1491
-
1500
.
25.
Ghosh
,
A. K.
 and
Backofen
,
W. A.
,
Metallurgical Transactions
 0026-086X, Vol.
4
,
1973
, pp.
1113
-
1123
.
Crossref
Search ADS
 
26.
Sang
,
H.
 and
Lloyd
,
D. J.
,
Metallurgical Transactions A
, Vol.
10A
,
1979
, pp.
1773
-
1776
.
27.
Bird
,
J. E.
 and
Duncan
,
J. L.
,
Metallurgical Transactions A
, Vol.
12A
,
1981
, pp.
235
-
241
.
28.
Hecker
,
S. S.
, “
Factors Affecting Plastic Instability and Sheet Formability
,” in
Proceedings
,
Fourth International Conference on Mechanical Behavior of Materials
,
Carlsson
 
J.
 and
Ohlson
 
N. G.
, Eds.,
Pergamon Press
,
Oxford
,
1983
, Vol.
1
, pp.
129
-
138
.
Google Scholar
Crossref
Search ADS
 
29.
Murr
,
L. E.
,
Staudhammer
,
K. P.
, and
Hecker
,
S. S.
,
Metallurgical Transactions A
, Vol.
13A
,
1982
, pp.
627
-
635
.
30.
Bird
,
J. E.
,
Pollock
,
T.
, and
Srivastava
,
S. K.
,
Metallurgical Transactions A
, Vol.
17A
,
1986
, pp.
1537
-
1546
.
This content is only available via PDF.
All rights reserved. This material may not be reproduced or copied, in whole or in part, in any printed, mechanical, electronic, film, or other distribution and storage media, without the written consent of ASTM International.
You do not currently have access to this content.