Abstract
The analysis of the burst failure of a thick-walled cylindrical pressure vessel with plastic anisotropy under the action of internal and external pressures is carried out. Theoretical solutions for the burst pressure and the corresponding equivalent strain for the thick-walled cylindrical pressure vessel with ends closed are derived. The effects of plastic anisotropy, strain hardening, and external pressure on burst failure are discussed. The results show that the burst pressures for close-ended thick-walled cylindrical pressure vessels are dependent upon plastic anisotropy and external pressure, while the corresponding equivalent strains are only dependent upon plastic anisotropy, and the degree of the dependence is related to the strain hardening exponent of the material and on the ratio of the outer radius to inner radius of the vessel.
Similar content being viewed by others
REFERENCES
J. H. Faupel, “Yielding and Bursting Characteristics of Heavy Walled Cylinders," Trans. ASME, J. Appl. Mech. 78(5), 1031–1064 (1956).
M. K. Yeh and S. Kyriakides, “On the Collapse of Inelastic Thick-Walled Tubes under External Pressure," J. Energ. Res. Technol. 108 (1), 35–47 (1986).
A. Kalnins and D. P. Updike, “Limit of Pressures of Cylindrical and Spherical Shells," Trans. ASME, J. Pressure Vessels Technol.123 (3), 288–292 (2001).
T. Christopher, B. S. V. Rama Sarma, P. K. G. Potti, et al., “A Comparative Study on Failure Pressure Estimations of Unflawed Cylindrical Vessels," Int. J. Pressure Vessels Piping79 (1), 53–66 (2002).
X. K. Zhu and B. N. Leis, “Strength Criteria and Analytic Predictions of Failure Pressures in Line Pipes," Int. J. Offshore Polar Eng. 14 (2), 125–131 (2004).
N. L. Svensson, “Bursting Pressure of Cylindrical and Spherical Vessels," Trans. ASME, J. Appl. Mech. 80 (3), 89–96 (1958).
O. M. Sidebottom and S. C. Chu, “Bursting Pressure of Thick-Walled Cylinders Subjected to Internal and External Pressures, Axial Load and Torsion," Exp. Mech. 15 (6), 209–218 (1975).
P. B. Mellor, “Tensile Instability in Thin-Walled Tubes," J. Mech. Eng. Sci. 4 (3), 251–256 (1962).
G. Stewart and F. J. Klever, “An Analytical Model to Predict the Burst Capacity of Pipeline," in Proc. of the Int. Conf. of Offshore Mechanics and Arctic Engineering, Houston, February 27 to March 3, 1994, Vol. 5, (1994), pp. 177–188.
X. L. Gao, “Strain Gradient Plasticity Solution for an Internally Pressurized Thick-Walled Cylinder of an Elastic Linear-Hardening Material," Z. Angew. Math. Phys. 58 (1), 161–173 (2007).
X. K. Zhu and B. N. Leis, “Average Shear Stress Yield Criterion and its Application to Plastic Collapse Analysis of Pipelines," Int. J. Pressure Vessels Piping 83 (9), 663–671 (2006).
L. Z. Wang and Y. Q. Zhang, “Plastic Collapse Analysis of Thin-Walled Pipes Based on Unified Yield Criterion," Int. J. Mech. Sci. 53 (5), 329–406 (2011).
K. H. Deng, Y. H. Lin, B. Li, and X. H. Wang, “Investigation on the Calculation Model of Burst Pressure for Tube and Casing under Practical Service Environment," Int. J. Hydrogen Energy44 (41), 23277–23288 (2019).
Y. Q. Zhang and L. Z. Wang, “Burst Pressure of Pipelines with Plastic Anisotropy under Combined Internal and External Pressures," ASCE, J. Eng. Mech. 139 (7), 920–924 (2013).
R. Hill, The Mathematical Theory of Plasticity(Clarendon Press, Oxford, 1950).
B. Crossland and J. A. Bones, “The Ultimate Strength of Thick Walled Cylinders Subjected to Internal Pressure," Engineering179, 80–83 (1955).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2021, Vol. 62, No. 2, pp. 174–182.https://doi.org/10.15372/PMTF20210217.
Rights and permissions
About this article
Cite this article
Pang, M., Jin, C.W. & Zhang, Y.Q. BURST FAILURE ANALYSIS OF PLASTIC ANISOTROPIC THICK-WALLED CYLINDRICAL VESSELS SUBJECTED TO COMBINED PRESSURES. J Appl Mech Tech Phy 62, 329–335 (2021). https://doi.org/10.1134/S0021894421020176
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0021894421020176