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Research Papers: Design and Analysis

New Criterion for the Definition of Plastic Limit Load in Nozzle Connections of Pressure Vessels

[+] Author and Article Information
V. N. Skopinsky

Moscow State Industrial University,
Chair of Material Strength

N. A. Berkov

Moscow State Industrial University,
Moscow 115280, Russia
e-mail: skopin-j@mail.msiu.ru

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the Journal of Pressure Vessel Technology. Manuscript received January 31, 2012; final manuscript received April 3, 2012; published online March 18, 2013. Assoc. Editor: G. E. Otto Widera.

J. Pressure Vessel Technol 135(2), 021206 (Mar 18, 2013) (6 pages) Paper No: PVT-12-1013; doi: 10.1115/1.4007188 History: Received January 31, 2012; Revised April 03, 2012

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.

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References

ASME Boiler and Pressure Vessel Code, Sec. VIII, 2004 ed., American Society of Mechanical Engineering, New York.
PD 5500:2006, Specification for Unfired Fusion Welded Pressure Vessels, British Standards Institution, London.
EN 13445-3: 2002, Unfired Pressure Vessels. Part 3: Design, European Committee for Standardisation, Brussels.
Skopinsky, V. N., 2010, “The Problem of Determining Limit Plastic Load for Intersecting Shells,” Chem. Pet. Eng., 6, pp. 18–21.
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.
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. [CrossRef]
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.
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. [CrossRef]
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. [CrossRef]
Skopinsky, V. N., 2008, Stresses in Intersecting Shells, Fizmatlit, Мoscow, p. 400.
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. [CrossRef]
Berkov, N. A., and Skopinsky, V. N., 2008, “Elasto-Plastic Deformation of Intersecting Cylindrical Shells,” Mech. Ind. Eng. Educ., 4, pp. 44–51.
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.
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.
Muscat, M., Mackenzie, D., and Hamilton, R., 2003, “A Work Criterion for Plastic Collapse,” Int. J. Pressure Vessels Piping, 80(1), pp. 49–58. [CrossRef]
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. [CrossRef]
Iliushin, A. A., 1948, Plastisity, GITTL, Мoscow, p. 376.
Skopinsky, V. N., 1993, “Numerical Stress Analysis of Intersecting Cylindrical Shells,” ASME J. Pressure Vessel Technol., 115(3), pp. 275–282. [CrossRef]

Figures

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Fig. 1

Vessel-nozzle geometry

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Fig. 2

Finite element mesh for model No. 4

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Fig. 3

Maximum criterion of rate of change of relative plastic work (model No. 1). (a) Relative plastic work—load curve. (b) Rate of change of relative plastic work—load curve.

Grahic Jump Location
Fig. 4

Specific plastic work criterion (model 1)

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Fig. 5

Effect of d/D on plastic limit pressure: 1—criterion of the maximum rate of change of the relative plastic work and 2—specific plastic work criterion

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