Abstract

A method is described for the determination of the distribution of strain within a specimen undergoing large finite, nonuniform deformations under plane strain compression. The method has been applied to the hot deformation of an aluminum alloy. Results show that prior strain history has no effect on the strain distribution and that specimens of a larger tool width to specimen thickness ratio provide more homogeneous strain distributions. It is proposed that variations in stress-strain curves observed for different tool width to specimen thickness ratios arise from the inhomogeneity of deformation and that these variations are greater in work-hardening materials. Implications for metallographic studies are drawn.

Issue Section:
Research Papers
Keywords:
stress strain diagrams, aluminum alloys, lead (metal), metallography, plane strain compression testing, large deformations, tool-specimen geometry, strain distribution patterns

References

1.
Hill
,
R.
,
The Mathematical Theory of Plasticity
,
Clarendon Press
,
Oxford, England
,
1950
, pp.
226
-
236
and 254–258.
2.
Green
,
A. P.
,
Philosophical Magazine
 1478-6435, Vol.
42
, No.
331
,
08
1951
, pp.
900
-
918
.
3.
Ford
,
H.
,
Proceedings of the Institution of Mechanical Engineers
 0020-3483, Vol.
159
, No.
39
,
03
1948
, pp.
115
-
143
.
4.
Watts
,
A. B.
 and
Ford
,
H.
,
Proceedings of the Institution of Mechanical Engineers
 0020-3483, Vol.
B1
, No.
10
,
10
1952
, pp.
448
-
453
.
5.
Loong
,
S. H.
, “
An Investigation into the Effect of Coulomb Friction on Plane Strain Compression of a Plastic-Rigid Material
,” Bachelor of Mechanical Engineering Thesis 865,
University of Sheffield
, Sheffield, England,
1977
.
6.
Sellars
,
C. M.
,
Sah
,
J. P.
,
Beynon
,
J. H.
, and
Foster
,
S. R.
, “
Plane Strain Compression Testing at Elevated Temperatures
,”
report on research work supported by Science Research Council Grant
B/RG/1481;
University of Sheffield
, Sheffield, England,
1976
.
7.
Heil
,
H.-P.
 and
Schütza
,
A.
,
Archiv für das Eisenhüttenwesen
 0003-8962, Vol.
46
, No.
3
,
03
1975
, pp.
201
-
208
.
Crossref
Search ADS
 
8.
Vater
,
M.
 and
Heil
,
H.-P.
,
Stahl and Eisen
, Vol.
91
, No.
15
,
07
1971
, pp.
864
-
876
.
9.
Lee
,
C. H.
 and
Kobayashi
,
S.
,
International Journal of Mechanical Sciences
 0020-7403, Vol.
12
, No.
4
,
04
1970
, pp.
349
-
370
.
Crossref
Search ADS
 
10.
Thomsen
,
E. G.
 and
Frisch
,
J.
,
Transactions of the American Society of Mechanical Engineers
, Vol.
77
, No.
8
,
11
1955
, pp.
1343
-
1353
.
11.
Childs
,
T. H. C.
,
Metals Technology
, Vol.
1
, No.
7
,
07
1974
, pp.
305
-
309
.
12.
Farag
,
M. M.
 and
Sellars
,
C. M.
,
Metals Technology
, Vol.
2
, No.
5
,
05
1975
, pp.
220
-
228
.
13.
Yajnik
,
K. S.
 and
Frisch
,
J.
,
Transactions of the American Society of Mechanical Engineers
, Vol.
B84
, No.
2
,
02
1962
, pp.
81
-
88
.
14.
Thomsen
,
E. G.
,
Yang
,
C. T.
, and
Kobayashi
,
S.
,
Mechanics of Plastic Deformation in Metal Processing
,
Macmillan
,
New York
,
1965
.
15.
Beynon
,
J. H.
, “
Structural Changes During Hot Working of Aluminum Alloys
,” Ph.D. thesis,
University of Sheffield
, Sheffield, England,
1979
.
16.
Sellars
,
C. M.
, “
The Physical Metallurgy of Hot Working
,” in
Hot Working and Forming Processes
,
Sellars
 
C. M.
 and
Davies
 
G. J.
, Eds.,
Metals Society
,
London
,
1980
, pp.
3
-
15
.
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.