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TECHNICAL PAPERS

Elastic-Shakedown Analysis of Axisymmetric Nozzles

[+] Author and Article Information
Martin Muscat, Donald Mackenzie

Department of Mechanical Engineering, University of Strathclyde, Glasgow, Scotland, UK

J. Pressure Vessel Technol 125(4), 365-370 (Nov 04, 2003) (6 pages) doi:10.1115/1.1613301 History: Received August 31, 2001; Revised March 19, 2003; Online November 04, 2003
Copyright © 2003 by ASME
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References

Boiler and Pressure Vessel Code, 1998, ASME, New York.
Procter, E., and Findlers, R. F., 1967, “Experimental Investigation Into the Elastic/Plastic Behavior of Isolated Nozzles in Spherical Shells: Part II—Shakedown and Plastic Analysis,” Report RD/B/N861, Berkeley Nuclear Laboratories, C.E.G.B. Research Department, Berkeley, U.K.
Proctor, E. and Strong, J. T., 1972, “Pressure Tests on Flush Cylider-Cylinder Intersections. Elastic and Elastic/Plastic Behavior,” Report RD/B/N2244, Berkeley Nuclear Laboratories, C.E.G.B. Research Department, Berkeley, U.K.
Leckie,  F. A., and Penny,  R. K., 1967, “Shakedown Loads for Radial Nozzles in Spherical Pressure Vessels,” Int. J. Solids Struct., 3, pp. 743–755.
British Standards Institution, 1991, “Specification for Unfired Fusion Welded Pressure Vessels,” BS5500.
Melan,  E., 1938, Sitz. Ber. Akad. Wiss. Wien 147, 73.
Belytschko,  T., 1972, “Plane Stress Shakedown Analysis by Finite Elements,” Int. J. Mech. Sci., 14, pp. 619–625.
Corradi,  L., and Zavelani,  A., 1974, “A Linear Programming Approach to Shakedown Analysis of Structures,” Comput. Methods Appl. Mech. Eng., 3, pp. 37–53.
Mackenzie,  D. , 2000, “The Elastic Compensation Method for Limit and Shakedown Analysis: A Review,” J. Strain Anal., 35(3), pp. 171–188.
Preiss,  R., 1999, “On the Shakedown Analysis of Nozzles Using Elasto-Plastic FEA,” Int. J. Pressure Vessels Piping, 76, pp. 421–434.
Comite’ Europeen de Normalization (CEN), 1999, Design by Analysis Manual, European Commission, Petten, The Netherlands.
Kalnins, A., 2000, “Plastic Analysis in Pressure Vessel Design— Role of Limit Analysis and Cyclic Loading,” PVPD Tutorial, ASME, New York.
Lubliner, J.,1990, Plasticity Theory, Macmillan Publishing Company, New York.
Ansys V5.6.1, Ansys Inc., Canonsburg, PA (Educational License).

Figures

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Axisymmetric nozzle geometry and applied pressure
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Close up of a typical finite element mesh for nozzle/sphere intersection
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Comparison of results for nozzle (R/T=100)
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Comparison of results for nozzle (R/T=50)
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Comparison of results for nozzle (R/T=10)
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Equivalent Plastic strain at the nozzle fillet with number of cycles (one unit on the “time” axis is equal to a half cycle)
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Detailed view of the instantaneous equivalent plastic strain plot shown in Fig. 7 (the first 20 cycles are shown)

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