Experiments to study the yield surface of 304 stainless steel with either 20 percent tension or 20 percent shear prestrain have been conducted. Explicit transformation equations have also been derived to convert the experimentally determined first Piola-Kirchhoff stress components into the Cauchy stresses and the second Piola-Kirchhoff stresses for combined axial-torsional experiments. It has been found that, in the phenomenological approach, the stress measure and the definition of yield have significant effect on the degree of anisotropy of strain-hardening. In particular, the strain-hardening rule is extremely complicated if the second Piola-Kirchhoff stress is used. Also, the equivalent stress-strain curves have been investigated by means of different stress measures.

Issue Section:
Technical Papers
Topics:
Stainless steel, Stress, Work hardening, Anisotropy, Shear (Mechanics), Stress-strain curves, Tension
1.
Helling
D. E.
,
Miller
A. K.
, and
Stout
M. G.
,
1986
, “
An Experiment Investigation of the Yield Loci of 1100-0 Aluminum, 70:30 Brass and an Overaged 2040 Aluminum Alloy after Various Prestrains
,”
ASME J. Eng. Mat. Tech.
, Vol.
108
, pp.
313
–
320
.
2.
Ivey
H. J.
,
1961
, “
Plastic Stress-Strain Relations and Yield Surfaces for Aluminum Alloy
,”
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3
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1
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15
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31
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4.
Mair
W. M.
, and
Pugh
H. L. D.
,
1964
, “
Effect of Prestrain on Yield Surface in Copper
,”
J. Mech. Eng. Sci.
, Vol.
6
, pp.
150
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163
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5.
Marjanovic, R., and Szczepinski, W., 1975, “On the Effect of Biaxial Cyclic Loading on the Yield Surface of M-63 Brass,” Acta Mech., No. 23, pp. 65–74.
6.
McMeeking
R. M.
,
1982
, “
The Finite Strain Tension-Torsion Test of a Thin-Walled Tube of Elastic-Plastic Material
,”
Int. J. Solid Structures
, Vol.
18
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166
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223
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7.
Phillips
A.
, and
Kasper
R.
,
1973
, “
On the Foundations of Thermoplasticity: An Experimental Investigation
,”
ASME JOURNAL OF APPLIED MECHANICS
, Vol.
40
, pp.
891
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896
.
8.
Phillips
A.
, and
Lu
W. Y.
,
1984
, “
An Experiment Investigation of Yield Surfaces and Loading Surfaces of Pure Aluminum with Stress-Controlled and Strain-Controlled Path of Loading
,”
ASME J. Eng. Mat. Tech.
, Vol.
106
, pp.
349
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354
.
9.
Phillips
A.
, and
Tang
J. L.
,
1972
, “
The Effect of Loading Path on the Yield Surface at Elevated Temperatures
,”
Int. J. Solid and Structures
, Vol.
8
, p.
463
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.
10.
Phillips
A.
, and
Weng
G. J.
,
1975
, “
An Analysis Study of An Experimentally Verified Hardening Law
,”
ASME JOURNAL OF APPLIED MECHANICS
, Vol.
42
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375
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11.
Phillips
A.
,
Tang
J. L.
, and
Ricciuti
M.
,
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, “
Some New Observations on Yield Surface
,”
Acta Mechanica
, Vol.
20
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12.
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E.
,
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,
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,
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, and
Koike
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,
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, “
The Subsequent Yield Surface after Preloading under Combined Axial Load and Torsion
,”
Bulletin JSME
, Vol.
19
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877
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883
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13.
Taylor
G. I.
, and
Quinney
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,
1932
, “
The Plastic Distortion of Metal
,”
Phil. Trans. Roy. Soc., Lond.
, Vol.
A230
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362
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14.
Wu, H. C., and Xu, Z. Y., 1989, “An Extensometer Investigation of the Axial Effect During Tension,” Proc. Int. Conf. on Constitutive Laws for Eng. Material J. Fan, and S. Murakami, eds., Chongqing, China, pp. 232–238.
15.
Wu
H. C.
, and
Yeh
W. C.
,
1987
, “
Some Considerations in the Endochronic Description of Anisotropic Hardening
,”
Acta Mechanica
, Vol.
69
, p.
59
59
.
16.
Wu
H. C.
, and
Yeh
W. C.
,
1991
, “
On the Experimental Determination of Yield Surfaces and Some Results of Annealed 304 Stainless Steel
,”
Int. J. Plasticity
, Vol.
7
, No.
8
, pp.
803
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826
.
17.
Wu
H. C.
,
Lu
J. K.
, and
Pan
W. F.
,
1995
, “
Endochronic Equations for Finite Plastic Deformation and Application to Metal Tube Under Torsion
,”
Int. J. Solids Structures
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32
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