A zero curvature method to estimate the limit load is introduced in detail, and a uniform computing process for computerization of the zero curvature method is presented. A new protection criterion against plastic collapse is proposed. A lot of examples are performed and discussed. The zero curvature load determined by the zero curvature method is a preferable definition of the limit load for perfectly plastic materials or the plastic load for strain strengthening materials. Both advantages of the ASME VIII-2 code and the EN-13445 standard are absorbed in the new protection criterion.

References

References
1.
American Society of Mechanical Engineers
,
2013
, “
ASME Boiler and Pressure Vessel Code, Section VIII, Rules for Construction of Pressure Vessels
,” Division 2-Alternate Rules, American Society of Mechanical Engineers (ASME),
New York
.
2.
BS
,
2009
, “
BSI British Standards Unfired Pressure Vessels—Part 3: Design
,” British Standards Institution (
BSI
), London, Standard No. BS EN 13445-3.
3.
Gerdeen
,
J. C.
,
1979
, “
A Critical Evaluation of Plastic Behaviour Data and a Unified Definition of Plastic Loads for Pressure Components
,” PVRC Welding Research Council Bulletin 254.
4.
Demir
,
H. H.
, and
Drucker
,
D. C.
,
1963
, “
An Experimental Study of Cyindrical sells Under Ring Loading
,”
Progress in Applied Mechanics
,
Prager Anniversary Volume, MacMillan
,
New York
, pp.
205
220
.
5.
Save
,
M.
,
1972
, “
Experimental Verification of Plastic Limit Analysis of Torispherical and Toriconical Heads
,”
Pressure Vessels Piping: Des. Anal.
,
1
, pp.
382
416
.
6.
Townley
,
C. H. A.
,
Findlay
,
G. E.
,
Goodman
,
A. M.
, and
Stanley
,
P.
,
1971
, “
Elastic–Plastic Computations as a Basis for Design Charts for Torispherical Pressure Vessel Ends
,”
Proc. I Mech. E
,
185
(
63
), pp.
869
877
.
7.
American Society of Mechanical Engineers
,
1974
, “
ASME Boiler and Pressure Vessel Code, Section III, Division 1, Appendix II
,”
American Society of Mechanical Engineers (ASME)
,
New York
.
8.
American Society of Mechanical Engineers
,
1975
, “
ASME Boiler and Pressure Vessel Code, Section III, Division 1, Winter Addenda
,”
American Society of Mechanical Engineers (ASME)
,
New York
.
9.
American Society of Mechanical Engineers
,
1977
, “
ASME Boiler and Pressure Vessel Code, Section VIII, Division 2, Appendix 4 and 6
,”
American Society of Mechanical Engineers (ASME)
,
New York
.
10.
American Society of Mechanical Engineers
,
1971
, “
ASME Boiler and Pressure Vessel Code, Section VIII, Division 1, Par. UG 101
,”
American Society of Mechanical Engineers (ASME)
,
New York
.
11.
Schroeder
,
J.
,
1980
, “
A Plastic Modulus Approach to Experimental Limit Load
,”
ASME
Paper No. 80-C2/PVP-1.
12.
Schroeder
,
J.
,
1985
, “
Experimental Limit Couples for Branch Moment Loads on 4-in. ANSI B16.9 Tees
,” WRC Bulletin, No. 304,
Welding Research Council
,
Shaker Heights, OH
.
13.
Muscat
,
M.
,
Mackenzie
,
D.
, and
Hamilton
,
R.
,
2003
, “
A Work Criterion for Plastic Collapse
,”
Int. J. Pressure Vessels Piping
,
80
(
1
), pp.
49
58
.
14.
Li
,
H.
, and
Mackenzie
,
D.
,
2005
, “
Characterising Gross Plastic Deformation in Design by Analysis
,”
Int. J. Pressure Vessels Piping
,
82
(
10
), pp.
777
786
.
15.
Moffat
,
D. G.
,
Hsieh
,
M. F.
, and
Lynch
,
M.
,
2001
, “
An Assessment of ASME III and CEN TC54 Methods of Determining Plastic and Limit loads for Pressure System Components
,”
J. Strain Anal.
,
36
(
3
), pp.
301
312
.
16.
American Society of Mechanical Engineers
,
2007
, “
ASME Boiler and Pressure Vessel code, Section VIII, Rules for Construction of Pressure Vessels, Division 2-Alternate Rules
,”
American Society of Mechanical Engineers (ASME)
,
New York
.
17.
BS
,
2002
, “
BSI British Standards Unfired Pressure Vessels—Part 3: Design
,”
British Standards Institution (BSI)
,
London
, Standard No. BS EN 13445-3.
18.
Lu
,
M. W.
,
Zhang
,
W. M.
, and
Zhang
,
R. Y.
,
1988
, “
A Zero-Curvature Criterion to Determine the Practical Collapse Load
,”
Sixth International Conference on Pressure Vessel Technology
, Beijing, China, Sept 11–15, Vol.
1
, pp.
551
558
.
19.
Chen
,
G.
, and
Liu
,
Y. H.
,
2006
, “
Numerical Theories and Engineering Methods for Structural Limit and Shakedown Analyses
,” Science Press, Beijing (in Chinese).
20.
Jiang
,
F.
,
Du
,
C. F.
, and
Zheng
,
Y. H.
,
2014
, “
Plastic Limit Load Analysis of Axial Oblique Nozzle Under Internal Pressure
,”
Chem. Mach.
,
44
(
5
), pp.
657
661
(in Chinese).
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