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ASTM Selected Technical Papers
Symposium on Plasticity and Creep of Metals
By
John E. Dorn
John E. Dorn
1
Professor of Metallurgy
,
University of California
,
Berkeley, Calif.
Search for other works by this author on:
ISBN-10:
0-8031-6504-8
ISBN:
978-0-8031-6504-5
No. of Pages:
72
Publisher:
ASTM International
Publication date:
1950

During the past fifty years a good deal of attention has been paid to the development of mathematical theories of plastic behavior. These efforts have been well summarized in recent papers by Nadai (1), Prager (2), and their coworkers (3, 4), as well as by many others. The development of experimental data suitable for allowing a choice to be made among various theoretical possibilities has not kept pace with the mathematical developments. The purpose of this report is to present some data on plastic flow in some sheet metals and to show that, when anisotropy in real materials is taken into account, some of the current theory appears to correlate flow results very well both in accounting for the stress required to maintain flow and in describing the distribution of strain resulting from various stress systems.

1.
Nadai
A.
, “
The Flow of Metals Under Various Stress Conditions
,”
Proceedings, Inst. Mechanical Engrs.
 0020-3483, Vol.
157
(
1947
).
2.
Prager
W.
, “
The Stress-Strain Laws of the Mathematical Theory of Plasticity—A Survey of Recent Progress
,”
Journal of Applied Mechanics
 0021-8936, Paper No. 48. APM-14 (
1948
).
3.
Handelman
G. H.
,
Lin
C. C.
, and
Prager
W.
, “
On the Mechanical Behavior of Metals in the Strain-Hardening Range
,”
Quarterly of Applied Mathematics
 0033-569X, Vol.
4
, pp. 397–407 (
1947
).
4.
Drucker
D. C.
, “
Relation of Experiments to Mathematical Theories of Plasticity
,”
Journal of Applied Mechanics
 0021-8936, Paper No. 49, APM-5 (
1949
).
5.
Bailey
R. W.
, “
The Utilization of Creep Test Data in Engineering Design
,”
Journal, Inst. Mechanical Engrs.
, Vol.
131
, p. 131 (
1935
).
6.
Fisher
J. C.
, “
Anisotropic Plastic Flow
,” Paper presented at conference on “Plasticity” at Brown University, February 9–10 (1949).
7.
Hill
R.
, “
A Theory of the Yielding and Plastic Flow of Anisotropic Materials
,”
Proceedings, Royal Society
 0370-1662, Series A, Vol.
193
, pp. 281–297 (
1948
).
8.
Dorn
J. E.
, “
Stress-Strain Rate Relations for Anisotropic Plastic Flow
,”
Journal of Applied Physics
 0021-8979, Vol.
20
, pp. 15–20 (
1949
).
9.
Jackson
L. R.
,
Smith
K. F.
, and
Lankford
W. T.
, “
Plastic Flow in Anisotropic Sheet Steel
,”
Metals Technology
, Technical Paper No. 2440, August, 1948.
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