CLC number:
On-line Access: 2024-08-27
Received: 2023-10-17
Revision Accepted: 2024-05-08
Crosschecked: 2024-08-20
Cited: 0
Clicked: 1044
Sheng YE, Keming LI, Jinyang ZHENG, Shan SUN. New formula for predicting the plastic buckling pressure of steel torispherical heads under internal pressure[J]. Journal of Zhejiang University Science A, 2024, 25(8): 618-630.
@article{title="New formula for predicting the plastic buckling pressure of steel torispherical heads under internal pressure",
author="Sheng YE, Keming LI, Jinyang ZHENG, Shan SUN",
journal="Journal of Zhejiang University Science A",
volume="25",
number="8",
pages="618-630",
year="2024",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.A2300432"
}
%0 Journal Article
%T New formula for predicting the plastic buckling pressure of steel torispherical heads under internal pressure
%A Sheng YE
%A Keming LI
%A Jinyang ZHENG
%A Shan SUN
%J Journal of Zhejiang University SCIENCE A
%V 25
%N 8
%P 618-630
%@ 1673-565X
%D 2024
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A2300432
TY - JOUR
T1 - New formula for predicting the plastic buckling pressure of steel torispherical heads under internal pressure
A1 - Sheng YE
A1 - Keming LI
A1 - Jinyang ZHENG
A1 - Shan SUN
J0 - Journal of Zhejiang University Science A
VL - 25
IS - 8
SP - 618
EP - 630
%@ 1673-565X
Y1 - 2024
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.A2300432
Abstract: Thin-walled torispherical heads under internal pressure can fail by plastic buckling because of compressive circumferential stresses in the head knuckle. However, existing formulas still have limitations, such as complicated expressions and low accuracy, in determining buckling pressure. In this paper, we propose a new formula for calculating the buckling pressure of torispherical heads based on elastic-plastic analysis and experimental results. First, a finite element (FE) method based on the arc-length method is established to calculate the plastic buckling pressure of torispherical heads, considering the effects of material strain hardening and geometrical nonlinearity. The buckling pressure results calculated by the FE method in this paper have good consistency with those of BOSOR5, which is a program for calculating the elastic-plastic bifurcation buckling pressure based on the finite difference energy method. Second, the effects of geometric parameters, material parameters, and restraint form of head edge on buckling pressure are investigated. Third, a new formula for calculating plastic buckling pressure is developed by fitting the curve of FE results and introducing a reduction factor determined from experimental data. Finally, based on the experimental results, we compare the predictions of the new formula with those of existing formulas. It is shown that the new formula has a higher accuracy than the existing ones.
[1]AQSIQ (General Administration of Quality Supervision, Inspection and Quarantine of the People’s Republic of China), SA (Standardization Administration of the People’s Republic of China), 2011. Pressure Vessels–Part 2: Materials, GB/T 150.2–2011. National Standards of the People’s Republic of China(in Chinese).
[2]AQSIQ (General Administration of Quality Supervision, Inspection and Quarantine of the People’s Republic of China), SA (Standardization Administration of the People’s Republic of China), 2017. Stainless Steel and Heat Resisting Steel Plate, Sheet and Strip for Pressure Equipment, GB/T 24511–2017. National Standards of the People’s Republic of China(in Chinese).
[3]ASME (American Society of Mechanical Engineers), 2023a. ASME Boiler and Pressure Vessel Code, Section II: Materials, Part D, ASME BPVC.II.D.C-2023. ASME.
[4]ASME (American Society of Mechanical Engineers), 2023b. ASME Boiler and Pressure Vessel Code, Section VIII: Rules for Construction of Pressure Vessels, Division 1, ASME BPVC.VIII.2-2023. ASME.
[5]ASME (American Society of Mechanical Engineers), 2023c. ASME Boiler and Pressure Vessel Code, Section VIII: Rules for Construction of Pressure Vessels, Division 2, ASME BPVC.VIII.2-2023. ASME.
[6]AylwardRW, GalletlyGD, 1979. Elastic buckling of, and first yielding in, thin torispherical shells subjected to internal pressure. International Journal of Pressure Vessels and Piping, 7(5):321-336.
[7]BłachutJ, 2020. Impact of local and global shape imperfections on buckling of externally pressurised domes. International Journal of Pressure Vessels and Piping, 188:104178.
[8]BłachutJ, 2023. Buckling behaviour of auxetic domes under external pressure. Thin-Walled Structures, 182:110262.
[9]BushnellD, 1976. B0S0R5—program for buckling of elastic-plastic complex shells of revolution including large deflections and creep. Computers & Structures, 6(3):221-239.
[10]BushnellD, 1977a. BOSOR4–program for stress, buckling, and vibration of complex shells of revolution. In: Perrone N, Pilkey W (Eds.), Structural Mechanics Software Series. University Press of Virginia, Charlottesville, USA, p.11-143.
[11]BushnellD, 1977b. Nonsymmetric buckling of internally pressurized ellipsoidal and torispherical elastic-plastic pressure vessel heads. Journal of Pressure Vessel Technology, 99(1):54-63.
[12]BushnellD, GalletlyGD, 1977. Stress and buckling of internally pressurized, elastic-plastic torispherical vessel heads—comparisons of test and theory. Journal of Pressure Vessel Technology, 99(1):39-53.
[13]CEN (European Committee for Standardization), 2021. Unfired Pressure Vessels—Part 3: Design, BS EN 13445-3-2021. CEN.
[14]FinoA, SchneiderRW, 1961. Wrinkling of a Large Thin Code Head Under Internal Pressure. Welding Research Council Bulletin No. 69, Welding Research Council, New York, USA.
[15]GalletlyGD, 1959. Torispherical shells—a caution to designers. Journal of Manufacturing Science and Engineering, 81(1):51-62.
[16]GalletlyGD, 1981. Plastic buckling of torispherical and ellipsoidal shells subjected to internal pressure. Proceedings of the Institution of Mechanical Engineers, 195(1):S39-S46.
[17]GalletlyGD, 1986a. Design equations for preventing buckling in fabricated torispherical shells subjected to internal pressure. Proceedings of the Institution of Mechanical Engineers, Part A: Journal of Power and Energy, 200(2):127-139.
[18]GalletlyGD, 1986b. A simple design equation for preventing buckling in fabricated torispherical shells under internal pressure. Journal of Pressure Vessel Technology, 108(4):521-526.
[19]GalletlyGD, RadhamohanSK, 1979. Elastic-plastic buckling of internally pressurized thin torispherical shells. Journal of Pressure Vessel Technology, 101(3):216-225.
[20]GalletlyGD, BłachutJ, 1985. Torispherical shells under internal pressure—failure due to asymmetric plastic buckling or axisymmetric yielding. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 199(3):225-238.
[21]LiK, ZhengJ, ZhangZ, et al., 2017. Experimental investigation on buckling of ellipsoidal head of steel nuclear containment. Journal of Pressure Vessel Technology, 139(6):061206.
[22]LiK, ZhengJ, LiuS, et al., 2019a. Buckling behavior of large-scale thin-walled ellipsoidal head under internal pressure. Thin-Walled Structures, 141:260-274.
[23]LiK, ZhengJ, ZhangZ, et al., 2019b. A new formula to predict buckling pressure of steel ellipsoidal head under internal pressure. Thin-Walled Structures, 144:106311.
[24]MillerCD, 1999. Buckling Criteria for Torispherical Heads Under Internal Pressure. Welding Research Council Bulletin No. 444, Welding Research Council, New York, USA.
[25]MillerCD, 2001. Buckling criteria for torispherical heads under internal pressure. Journal of Pressure Vessel Technology, 123(3):318-323.
[26]SowińskiK, 2022. Stress distribution optimization in dished ends of cylindrical pressure vessels. Thin-Walled Structures, 171:108808.
[27]SowińskiK, 2023a. Experimental and numerical verification of stress distribution in additive manufactured cylindrical pressure vessel–a continuation of the dished end optimization study. Thin-Walled Structures, 183:110336.
[28]SowińskiK, 2023b. Application and accuracy of shell theory in the analysis of stress and deformations in cylindrical pressure vessels. Thin-Walled Structures, 188:110826.
[29]WagnerHNR, NiewöhnerG, PototzkyA, et al., 2021. On the imperfection sensitivity and design of tori-spherical shells under external pressure. International Journal of Pressure Vessels and Piping, 191:104321.
[30]YangLF, ZhuYM, YuJF, et al., 2021. Design of externally pressurized ellipsoidal heads with variable wall thicknesses. International Journal of Pressure Vessels and Piping, 191:104330.
[31]ZhangJ, HuHF, WangF, et al., 2022. Buckling of externally pressurized torispheres with uniform and stepwise thickness. Thin-Walled Structures, 173:109045.
[32]ZhengJ, LiK, 2021. New Theory and Design of Ellipsoidal Heads for Pressure Vessels. Springer, Singapore, Singapore.
[33]ZhengJ, LiK, LiuS, et al., 2018. Effect of shape imperfection on the buckling of large-scale thin-walled ellipsoidal head in steel nuclear containment. Thin-Walled Structures, 124:514-522.
[34]ZhengJ, ZhangZ, LiK, et al., 2020. A simple formula for prediction of plastic collapse pressure of steel ellipsoidal heads under internal pressure. Thin-Walled Structures, 156:106994.
[35]ZhengJ, YuY, ChenY, et al., 2021. Comparison of ellipsoidal and equivalent torispherical heads under internal pressure: buckling, plastic collapse and design rules. Journal of Pressure Vessel Technology, 143(2):021301.
[36]ZhuYM, LiuW, GuanW, et al., 2022. Buckling pressure of imperfect spherical shell damaged by concentrated impact load. International Journal of Pressure Vessels and Piping, 200:104810.
Open peer comments: Debate/Discuss/Question/Opinion
<1>