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Received: 2008-01-09

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Journal of Zhejiang University SCIENCE A 2008 Vol.9 No.7 P.900~906


Calculations of plastic collapse load of pressure vessel using FEA

Author(s):  Peng-fei LIU, Jin-yang ZHENG, Li MA, Cun-jian MIAO, Lin-lin WU

Affiliation(s):  Institute of Chemical Machinery and Process Equipment, Zhejiang University, Hangzhou 310027, China

Corresponding email(s):   pfliu1980@yahoo.com, jyzh@zju.edu.cn

Key Words:  Plastic collapse load, Pressure vessel, Finite element analysis (FEA), Design by analysis (DBA)

Peng-fei LIU, Jin-yang ZHENG, Li MA, Cun-jian MIAO, Lin-lin WU. Calculations of plastic collapse load of pressure vessel using FEA[J]. Journal of Zhejiang University Science A, 2008, 9(7): 900~906.

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T1 - Calculations of plastic collapse load of pressure vessel using FEA
A1 - Peng-fei LIU
A1 - Jin-yang ZHENG
A1 - Li MA
A1 - Cun-jian MIAO
A1 - Lin-lin WU
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Y1 - 2008
PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.A0820023

This paper proposes a theoretical method using finite element analysis (FEA) to calculate the plastic collapse loads of pressure vessels under internal pressure, and compares the analytical methods according to three criteria stated in the ASME Boiler pressure vessel Code. First, a finite element technique using the arc-length algorithm and the restart analysis is developed to conduct the plastic collapse analysis of vessels, which includes the material and geometry non-linear properties of vessels. Second, as the mechanical properties of vessels are assumed to be elastic-perfectly plastic, the limit load analysis is performed by employing the Newton-Raphson algorithm, while the limit pressure of vessels is obtained by the twice-elastic-slope method and the tangent intersection method respectively to avoid excessive deformation. Finally, the elastic stress analysis under working pressure is conducted and the stress strength of vessels is checked by sorting the stress results. The results are compared with those obtained by experiments and other existing models. This work provides a reference for the selection of the failure criteria and the calculation of the plastic collapse load.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article


[1] ASME (the American Society of Mechanical Engineers), 2007. Boiler and Pressure Vessel Code, New York.

[2] Christopher, T., Rama Sarma, B.S.V., Govindan Potti, P.K., Nageswara Rao, B., Sankarnarayanasamy, K., 2002. A comparative study on failure pressure estimations of unflawed cylindrical vessels. Int. J. Press. Vessels & Piping, 79(1):53-66.

[3] Crisfield, M.A., 1983. An arc-length method including line searches and accelerations. Int. J. for Numer. Methods in Eng., 19(9):1269-1289.

[4] EN 13445-3, 2002. Unfired Pressure Vessels. European Committee for Standardisation, Brussels.

[5] Faupel, J.H., 1956. Yielding and bursting characteristics of heavy walled cylinders. J. Appl. Mechanics, 78:1031-1064.

[6] Liu, Y.H., Zhang, B.S., Xue, M.D., Liu, Y.Q., 2004. Limit pressure and design criterion of cylindrical pressure vessels with nozzles. Int. J. Press. Vessels & Piping, 81(7):619-624.

[7] Muscat, M., Mackenzie, D., Hamilton, R., 2003. A work criterion for plastic collapse. Int. J. Press. Vessels & Piping, 80(1):49-58.

[8] Payten, W., Law, M., 1998. Estimating the plastic collapse of pressure vessels using plasticity contours. Int. J. Press. Vessels & Piping, 75(7):529-536.

[9] Ramm, E., 1981. Strategies for Tracing the Nonlinear Response near Limit Points. Wunderlich, W., Stein, E., Bathe, K.J. (Eds.), Nonlinear Finite Element Analysis in Structural Mechanics. Springer-Verlag, New York, p.63-89.

[10] Riks, E., 1979. An incremental approach to the solution of snapping and buckling problems. Int. J. Solids & Struct., 15(7):529-551.

[11] Turner, L.B., 1910. The stresses in a thick hollow cylinder subjected to internal pressure. Trans. Camb. Philos. Soc., 21:377-396.

[12] Wang, Q.Q., Sun, S.S., Li, A.J., Zhou, S.J., 2000. The characteristics of J-integral under biaxial stressing. Int. J. Press. Vessels & Piping, 77(4):159-165.

[13] Wempner, G.A., 1971. Discrete approximation related to nonlinear theories of solids. Int. J. Solids & Struct., 7(11):1581-1599.

[14] Zhu, X.K., Leis, B.N., 2006. Average shear stress yield criterion and its application to plastic collapse of pipelines. Int. J. Press. Vessels & Piping, 83:663-671.

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