Strength Differential Effect and Influence of Strength Criterion on Burst Pressure of Thin-Walled Pipelines

JIN Cheng-wu; WANG Li-zhong; ZHANG Yong-qiang

doi:10.3879/j.issn.1000-0887.2012.11.002

Volume 33 Issue 11

Turn off MathJax

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2012 > 33(11): 1266-1274

JIN Cheng-wu, WANG Li-zhong, ZHANG Yong-qiang. Strength Differential Effect and Influence of Strength Criterion on Burst Pressure of Thin-Walled Pipelines[J]. Applied Mathematics and Mechanics, 2012, 33(11): 1266-1274. doi: 10.3879/j.issn.1000-0887.2012.11.002

Citation:

PDF( 568 KB)

Strength Differential Effect and Influence of Strength Criterion on Burst Pressure of Thin-Walled Pipelines

doi: 10.3879/j.issn.1000-0887.2012.11.002

¹Department of Engineering Mechanics, Zhejiang University, Hangzhou 310027, P.R.China;²College of Civil Engineering and Architecture, Zhejiang University, Hangzhou 310058, P.R.China

Received Date: 2011-11-30
Rev Recd Date: 2012-06-20
Publish Date: 2012-11-15

Abstract

Abstract

In the framework of finite deformation theory, the plastic collapse analysis of thin-walled pipes subjected to internal pressure was conducted on the basis of the unified strength criterion (USC). An analytical solution of burst pressure for pipes with capped ends was derived, which included the strength differential effect and took into account the influence of strength criterion on the burst pressure. In addition, a USC-based analytical solution of burst pressure for end-opened pipes under internal pressure was deduced. Through discussion, it is found that for the end-capped pipes the influence of different yield criteria and the strength differential effect on the burst pressure are significant, while for the end-opened pipes the burst pressure is independent of the specific form of strength criterion and strength difference in tension and compression.
- burst pressure,
- unified strength criterion,
- thin-walled pipe,
- finite strain

FullText(HTML)

References(32)

References

[1]	Faupel J H. Yielding and bursting characteristics of heavy walled cylinders[J]. Trans ASME J Appl Mech, 1956, 78(5): 1031-1064.
[2]	Svensson N L. Bursting pressure of cylindrical and spherical pressure vessels[J]. Trans ASME J Appl Mech, 1958, 80(3): 89-96.
[3]	Folias E S. An axial crack in a pressurized cylindrical shell[J]. Int J Fract Mech, 1965, 1(2): 104-113.
[4]	Harvey J F. Theory and Design of Modern Pressure Vessels[M]. 2nd. New York: Van Nostrand Reinhold Company, 1974.
[5]	Yeh M K, Kyriakides S. On the collapse of inelastic thick-walled tubes under external pressure[J]. Trans ASME J Energy Resource Technol, 1986, 108(1): 35-47.
[6]	Miller A G. Review of limit loads of structures containing defects[J]. Int J Pres Ves Piping, 1988, 32(1/4): 197-327.
[7]	Mok D H B, Pick R J, Glover A J, Hoff R. Bursting of line pipe with long external corrosion[J]. Int J Pres Ves Piping, 1991, 46(2): 195-215.
[8]	Kyriakides S, Park T D, Netto T A. On the design of integral buckle arrestors for offshore pipelines[J]. Appl Ocean Res, 1998, 20(1/2): 95-104.
[9]	陈志平, 郑津洋, 孙国有. ABS工程塑料管爆破压力的测试[J]. 塑料工业, 2000, 28(5): 36-38.(CHEN Zhi-ping, ZHENG Jin-yang, SUN Guo-you.Bursting pressure test of ABS engineering plastics pipe[J]. China Plastics Industry, 2000, 28(5): 36-38.(in Chinese))
[10]	郑传祥, 文祺. 低碳钢压力容器爆破试验及爆破压力公式研究[J]. 压力容器, 2002, 19(9): 9-12.(ZHEN Chuan-xiang, WEN Qi. Explosive experiment of mild steel pressure vessel and research on formula of explosive stress[J]. Pres Ves Technol, 2002, 19(9): 9-12.(in Chinese))
[11]	Zhu X K, Leis B N. Theoretical and numerical predictions of burst pressure of pipelines[J]. Trans ASME J Pres Ves Technol, 2007, 129(4): 644-652.
[12]	Netto T A, Ferraz U S, Estefen S F. The effect of corrosion defects on the burst pressure of pipelines[J]. J Construct Steel Res, 2005, 61(8): 1185-1204.
[13]	Law M, Bowie G. Prediction of failure strain and burst pressure in high yield-to-tensile strength ratio linepipe[J]. Int J Pres Ves Piping, 2007, 84(8): 487-492.
[14]	Chattopadhyay J, Kushwaha H S, Roos E. Improved integrity assessment equations of pipe bends[J]. Int J Pres Ves Piping, 2009, 86(7): 454-473.
[15]	Law M, Bowie G, Fletcher L. Burst pressure and failure strain in pipeline—part 2: comparison of burst pressure and failure-strain formulas[J]. J Pipeline Integrity, 2004, 3(2): 102-106.
[16]	Christopher T, Rama Sarma B S V, Potti P K G, Rao B N, Sankarnarayanasamy K. A comparative study on failure pressure estimations of unflawed cylindrical vessels[J]. Int J Pres Ves Piping, 2002, 79(1): 53-66.
[17]	Cooper W E. The significance of the tensile test to pressure vessel design[J]. Weld J-Weld Res Suppl, 1957, 1: 49-56.
[18]	Hiller M J. Tensile plastic instability of thin tubes[J]. J Mech Eng Sci, 1962, 4(3): 251-256.
[19]	Updike D P, Kalnins A. Tensile plastic instability of axisymmetric pressure vessels[J]. J Pres Ves Technol, 1998, 120(1): 6-11.
[20]	Stewart G, Klever F J. Analytical model to predict the burst capacity of pipelines[C]The 13th International Conference of Offshore Mechanics and Arctic Engineering. Vol Ⅴ, Pipeline Technology, Houston, USA, 1994: 177-188.
[21]	Zhu X K, Leis B N. Average shear stress yield criterion and its application to plastic collapse analysis of pipelines[J]. Int J Pres Ves Piping, 2006, 83(9): 663-671.
[22]	Yu M H , He L N. A new model and theory on yield and failure of materials under complex stress state[C]Mechanical Behaviour of Materials—6. Masahiro J, Tatsuo I. Vol 3. Oxford, New York: Pergamon Press,1992: 841-846.
[23]	Fan S C, Yu M H, Yang S Y. On the unification of yield criteria[J]. Trans ASME J Appl Mech, 2002, 68(2): 341-343.
[24]	Yu M H. Advance in strength theory of material and complex stress state in the 20th century[J]. Appl Mech Rev, 2002, 55(3): 169-218.
[25]	冯剑军, 张俊彦, 张平, 谭援强, 韩利芬. 在复杂应力状态下厚壁筒极限载荷分析[J]. 工程力学, 2004, 21(5): 188-192.(FENG Jian-jun, ZHANG Jun-yan, ZHANG Ping, TAN Yuan-qiang, HAN Li-fen.Limit analysis of thick-walled tubes in complex stress state[J]. Engineering Mech, 2004, 21(5): 188-192.(in Chinese))
[26]	Yu M H. Twin shear stress yield criterion[J]. Int J Mech Sci, 1983, 25(1): 71-74.
[27]	Jonas J J, Holt R A, Coleman C E. Plastic instability in tension and compression[J]. Acta Metall, 1976, 24(10): 911-918.
[28]	Crossland B, Bones J A. The ultimate strength of thick walled cylinders subjected to internal pressure[J]. Engineering (London), 1995, 179: 80-83.
[29]	Costantino C J. The strength of thin-walled cylinders subjected to dynamic internal pressures[J]. Trans ASME J Appl Mech, 1965, 32(1): 104-107.
[30]	Hill R. The Mathematical Theory of Plasticity[M]. London: Oxford University Press, 1950.
[31]	Zhu X K, Leis B N. Strength criteria and analytic predictions of failure pressures in line pipes[J]. Int J Offshore Polar Eng, 2004, 14(2): 125-131.
[32]	Li X W, Zhao J H, Wang Q Y. Unified stresses solution for sheet forming[J]. Advanced Mater Res, 2012, 463/464: 629-633.