In this research, a new criterion for determining the plastic limit load in shell intersections using elastic-plastic finite element analysis is presented. Using the proposed maximum criterion of the rate of the change of the relative plastic work (PW), a numerical procedure is described to define the plastic pressure. Also, a specific plastic work criterion is presented using a local deformation parameter. Results of comparisons with different criteria were considered for experimental models of cylindrical vessels with radial and nonradial (lateral) nozzles. A parametric study of the radial intersections of cylindrical shells under the internal pressure loading was performed to examine the influence of the diameter ratio on the plastic limit pressure on the basis of the proposed criteria.

References

References
1.
ASME Boiler and Pressure Vessel Code
, Sec. VIII, 2004 ed.,
American Society of Mechanical Engineering
,
New York
.
2.
PD 5500:2006,
Specification for Unfired Fusion Welded Pressure Vessels
,
British Standards Institution
,
London
.
3.
EN 13445-3: 2002,
Unfired Pressure Vessels. Part 3: Design
,
European Committee for Standardisation
,
Brussels
.
4.
Skopinsky
,
V. N.
,
2010
, “
The Problem of Determining Limit Plastic Load for Intersecting Shells
,”
Chem. Pet. Eng.
,
6
, pp.
18
21
.
5.
Sang
,
Z. F.
,
Xue
,
L. P.
,
Lin
,
Y. J.
, and
Widera
,
G. E. O.
,
2000
, “
Limit Analysis and Burst Test for Large Diameter Intersections
,”
Weld. Res. Counc. Bull.
, Paper No. 451, pp.
31
52
.
6.
Xue
,
L.
,
Widera
,
G. E. O.
, and
Sang
,
Z. F.
,
2003
, “
Influence of Pad Reinforcement on the Limit and Burst Pressures of a Cylinder-Cylinder Intersection
,”
ASME J. Pressure Vessel Technol.
,
125
(
2
), pp.
182
187
.10.1115/1.1563629
7.
Sang
,
Z. F.
,
Xue
,
L. P.
, and
Widera
,
G. E. O.
,
2006
, “
Plastic Limit Pressure of Pressurized Cylinders With Hillside Nozzle
,”
Proceedings of the ASME 2006 Pressure Vessels and Piping/ICPVT-11 Conference
, Vol.
3
, Design and Analysis,
Vancouver, BC, Canada
, July 23–27, pp.
227
231
.
8.
Li
,
N.
,
Sang
,
Z. F.
, and
Widera
,
G. E. O.
,
2008
, “
Study of Plastic Limit Load on Pressurized Cylinders With Lateral Nozzle
,”
ASME J. Pressure Vessel Technol.
,
130
(
4
),
041210
.10.1115/1.2967743
9.
Xue
,
L.
,
Widera
,
G. E. O.
, and
Sang
,
Z.
,
2010
, “
Parametric FEA Study of Burst Pressure of Cylindrical Shell Intersections
,”
ASME J. Pressure Vessel Technol.
,
132
(
3
),
031203
.10.1115/1.4000731
10.
Skopinsky
,
V. N.
,
2008
,
Stresses in Intersecting Shells
,
Fizmatlit
,
Мoscow
, p.
400
.
11.
Nayak
,
G. G.
, and
Zienkiewicz
,
O. С.
,
1973
, “
Elasto-Plastic Stress Analysis. A Generalization for Various Constitutive Relations Including Strain Softening
,”
Int. J. Numer. Methods Eng.
,
5
(
1
), pp.
113
135
.10.1002/nme.1620050111
12.
Berkov
,
N. A.
, and
Skopinsky
,
V. N.
,
2008
, “
Elasto-Plastic Deformation of Intersecting Cylindrical Shells
,”
Mech. Ind. Eng. Educ.
,
4
, pp.
44
51
.
13.
Skopinsky
,
V. N.
,
Berkov
,
N. A.
, and
Vogova
,
N. V.
,
2010
, “
Elasto-Plastic Analysis in Intersecting Cylindrical Shells Strengthened by Pad Ring
,”
Chem. Pet. Eng.
,
4
, pp.
14
18
.
14.
Gerdeen
,
J. C.
,
1979
, “
A Critical Evaluation of Plastic Behavior Data and a Unified Definition of Plastic Loads for Pressure Components
,”
Weld. Res. Counc. Bull.
, Paper No 254, pp.
1
64
.
15.
Muscat
,
M.
,
Mackenzie
,
D.
, and
Hamilton
,
R.
,
2003
, “
A Work Criterion for Plastic Collapse
,”
Int. J. Pressure Vessels Piping
,
80
(
1
), pp.
49
58
.10.1016/S0308-0161(02)00105-9
16.
Mackenzie
,
D.
, and
Li
,
H.
,
2006
, “
A Plastic Load Criterion for Inelastic Design by Analysis
,”
ASME J. Pressure Vessel Technol.
,
128
(
1
), pp.
39
45
.10.1115/1.2137768
17.
Iliushin
,
A. A.
,
1948
,
Plastisity
,
GITTL
,
Мoscow
, p.
376
.
18.
Skopinsky
,
V. N.
,
1993
, “
Numerical Stress Analysis of Intersecting Cylindrical Shells
,”
ASME J. Pressure Vessel Technol.
,
115
(
3
), pp.
275
282
.10.1115/1.2929528
You do not currently have access to this content.