For a circular bar of perfectly plastic material and subjected to a cyclically variable torque and a constant axial force, the interaction (or generalized Bree) diagram is derived by a direct method in which Melan’s theorem is used to locate the nonratchetting load boundary.

Issue Section:
Brief Notes
Topics:
Plastics, Stress, Theorems (Mathematics), Torque, Torsion
1.
Kachanov, L. M., 1969, Fundamentals of the Theory of Plasticity, MIR Publishers, Moscow (English translation), p. 363.
2.
Ko¨nig, J. A., 1987, Shakedown of Elastic-Plastic Structures, PWN-Polish Scientific Publishers, Warsaw and Elsevier, Amsterdam.
3.
Lubliner, J., 1990, Plasticity Theory, Macmillan, New York, p. 345.
4.
Polizzotto
C.
,
1993
a, “
On the Conditions to Prevent Plastic Shakedown of Structures: Part I:—Theory
,”
ASME JOURNAL OF APPLIED MECHANICS
, Vol.
60
, pp.
15
–
19
.
5.
Polizzotto
C.
,
1993
b, “
On the Conditions to Prevent Plastic Shakedown of Structures: Part II—The Plastic Shakedown Limit Load
,”
ASME JOURNAL OF APPLIED MECHANICS
, Vol.
60
, pp.
20
–
25
.
6.
Polizzotto
C.
,
1993
c, “
A Study on Plastic Shakedown of Structures: Part I—Basic Properties
,”
ASME JOURNAL OF APPLIED MECHANICS
, Vol.
60
, pp.
318
–
323
.
7.
Polizzotto
C.
,
1993
d, “
A Study on on Plastic Shakedown of Structures: Part II—Theorems
,”
ASME JOURNAL OF APPLIED MECHANICS
, Vol.
60
, pp.
324
–
330
.
8.
Ponter
A. R. S.
, and
Karadeniz
S.
,
1985
, “
An Extended Shakedown Theory of Structures That Suffer Cyclic Thermal Loadings: Part 1—Theory
,”
ASME JOURNAL OF APPLIED MECHANICS
, Vol.
52
, pp.
877
–
882
.
This content is only available via PDF.
Copyright © 1995
 by The American Society of Mechanical Engineers
You do not currently have access to this content.