Method of Predicting Necking True Stress in a Thin-Walled Tube Under a Complex Stress State

Kozbur Halyna

doi:10.2478/scjme-2020-0024

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Method of Predicting Necking True Stress in a Thin-Walled Tube Under a Complex Stress State

Strojnícky časopis - Journal of Mechanical Engineering

Volume 70 (2020): Issue 2 (November 2020)

By: Kozbur Halyna

Open Access

|Dec 2020

Abstract

Method of predicting the strength of thin-walled tubes under a complex stress state, taking into account changes in the initial dimensions, is proposed. Uniform plastic deformation of a thin-walled tube under short-term static load by internal pressure and axial tension is considered. The tube material is considered to be homogeneous, isotropic and incompressible. The principle of maximum load is used to derive analytical dependences. The main decisions and conclusions were made using the Considere scheme.

References

[1] Cooper, W. E. “The significance of the tensile test to pressure vessel design”, Weld J-Weld Res., pp.49 – 56, 1957.
Search in Google Scholar Back to article
[2] Svensson, N. L. “The bursting pressure of cylindrical and spherical pressure vessels”, Trans ASME J. Appl. Mech. 80 (3), pp. 89 – 96, 1958.
Search in Google Scholar Back to article
[3] Rajan, K. M., Deshpande, P. U. and Narasimhan, K. “Experimental studies on bursting pressure of thin-walled flow formed pressure vessels”, J. Mater. Process Technol., pp. 125 – 126, 228 – 234, 2002. DOI: 10.1016/S0924-0136(02)00298-4
Search in Google Scholar Back to article
[4] Zhu, X. K. and Leis, B. N. “Plastic collapse assessment method for unequal wall transition joints in transmission pipelines”, J. Pres. Ves. Technol. 127 (4), pp. 449 – 456, 2005. DOI: 10.1115/1.2043197
Search in Google Scholar Back to article
[5] Zhu, X. K. and Leis, B. N. “Average shear stress yield criterion and its application to plastic collapse analysis of pipelines”, Int. J. Pres. Ves. Piping 83(9), pp. 663 – 671, 2006. DOI: 10.1016/j.ijpvp.2006.06.001
Search in Google Scholar Back to article
[6] Wang, L. Z., Zhang, Y. Q. “Plastic collapse analysis of thin-walled pipes based on unified yield criterion”, Int. J. Mech. Sci. 53 (5), pp. 329 – 406, 2011. DOI: 10.1016/j.ijmecsci.2011.02.004
Search in Google Scholar Back to article
[7] Christopher, T., Rama Sarma, B. S. V., Govindan Potti, P. K., Nageswara Rao, B., Sankarnarayanasamy, K. “A Comparative Study on Failure Pressure Estimations of Unflawed Cylindrical Vessels”, Int. J. Pressure Vessels Piping 79 (1), pp. 53 – 66, 2002. DOI: 10.1016/S0308-0161(01)00126-0
Search in Google Scholar Back to article
[8] Mihelová, S., Frydrýšek, K., Jančo, R. “Solution of a Gas Pipeline Buried in Ground by Stochastic Approach“, Strojnícky časopis – Journal of Mechanical Engineering 70 (1), pp. 103 – 114, 2020. DOI: 10.2478/scjme-2020-0010
Search in Google Scholar Back to article
[9] Chmelko, V., Krššák, P. “The elasto-plastic state solution of a heavy-wall cylindrical pressure vessel using bilinear stress-strain model. Part 1: Derivation of analytical relations“, Strojnícky časopis – Journal of Mechanical Engineering 64 (1), pp. 51 – 62, 2013.
Search in Google Scholar Back to article
[10] Shahabi, M., Esmaeilnejad, M., Ghasemi, A. “A thin-walled tube subjected to combined internal pressure and axial load under different loading paths“, Strojnícky časopis – Journal of Mechanical Engineering 63 (5-6), pp. 307 – 316, 2012.
Search in Google Scholar Back to article
[11] Law, M., Bowie, G. and Fletcher, L. “Burst pressure and failure strain in pipeline”, Part 2: comparison of burst pressure and failure-strain formulas, J. Pipeline Integrity 3 (2), pp. 102 – 106, 2004.
Search in Google Scholar Back to article
[12] Zhu, X.-K., Leis, B. N. “Evaluation of burst pressure prediction models for line pipes”, International Journal of Pressure Vessels and Piping, pp. 1 – 13, 2011. DOI: 10.1016/j.ijpvp.2011.09.007
Search in Google Scholar Back to article
[13] Lankford W. D., Saibel, E. “Some problems in unstable plastic flow under biaxial tension”, Metals Technol., pp. 22 – 38, 1947.
Search in Google Scholar Back to article
[14] Mellor, P. B. “Tensile instability in thin-walled tubes”, J. mech. Engng Sci. 4 (3), pp. 251 – 256, 1962. DOI: https://doi.org/10.1243/JMES_JOUR_1962_004_034_02
Search in Google Scholar Back to article
[15] Monoshkov, A. N. Pykhov, S. I., Pustin, I. A. “Plasticheskaya ustoychivost i eye rol’ v otsenke prochnosti trub”, Proizvodstvo trub s pokrytiyami, otdelka i kontrol kachestva trub. Metallurgiya. pp. 77 – 81, 1972.
Search in Google Scholar Back to article
[16] Kurkin, S. A. “Prochnost svarnykh tonkostennykh sosudov, rabotayushchikh pod davleniyem”, 183 p., 1976.
Search in Google Scholar Back to article
[17] Kovalchuk, B. I. “K voprosu o potere ustoychivosti plasticheskogo deformirovaniya obolochek”, Problemy prochnosti. №5. pp. 11 – 16, 1983.
Search in Google Scholar Back to article
[18] Kollinz, D. “Povrezhdenie materialov v konstrukciyah. Analiz, predskazanie, predotvrashchenie”, 624 p., 1984. Available at: http://books.totalarch.com/n/3598 [Accessed: 20.03.20]
Search in Google Scholar Back to article
[19] Borodavkin. P. P. “Sooruzheniye magistralnykh truboprovodov” / P.P. Borodavkin, V.L. Berezin. M.: Nedra. 471 p. 1987.
Search in Google Scholar Back to article
[20] Degtyarev V. P. “Deformatsii i razrusheniye v vysokonapryazhennykh konstruktsiyakh”. M.: Mashinostroyeniye. 105 p., 1987.
Search in Google Scholar Back to article
[21] “Sistemnaya nadezhnost truboprovodnogo transporta uglevodorodov” / V.D. Chernyayev. K.V. Chernyayev. V.L. Berezin i dr. M.: Nauka. 516 p., 1997.
Search in Google Scholar Back to article
[22] Dilman. V. L., Ostsemin, A. A. “O vliyanii dvukhosnosti nagruzheniya na nesushchuyu sposobnost trub magistralnykh gazonefteprovodov” Izv. RAN. Mekhanika tverdogo tela. №5, pp. 179–185, 2000.
Search in Google Scholar Back to article
[23] Updike, D. P. Kalnins, A. “Tensile plastic instability of axisymmetric pressure vessels”, J. Pres. Ves. Technol. 120 (1): pp. 6 – 11, 1998. DOI: 10.1115/1.2841888
Search in Google Scholar Back to article
[24] Reddy, J. N. “Theory and analysis of elastic plates and shells”, CRC Press, Taylor and Francis. 2007. Available at: http://mechanics.tamu.edu/wp-content/uploads/2016/08/11-Theory-and-Analysis-of-Elastic-Plates.pdf [Accessed: 23.05.20]
Search in Google Scholar Back to article
[25] Nadai A. “Plastichnost i razrusheniye tverdykh tel. Tom 1. “ Pod red. G.S. Shapiro. v 2-kh tomakh. Moskva: Inostrannaya literature, 647 p., 1954.
Search in Google Scholar Back to article
[26] Jones, B. H., Mellor, P. B. “Plastic flow and instability behaviour of thin-walled cylinders subjected to constant-ratio tensile stress“, Journal of Strain Analysis 2 (1), pp. 62 – 72, 1967. DOI: 10.1243/03093247V021062
Search in Google Scholar Back to article
[27] Kozbur H. “Prediction technique for thin-walled cylindrical tubes boundary state“, Scientific Journal of TNTU (Tern.) 94 (2), pp. 145 – 155, 2019. DOI: 10.33108/visnyk_tntu2019.02.145
Search in Google Scholar Back to article
[28] Law, M., “Use of the cylindrical instability stress for blunt metal loss defects in linepipe”, International Journal of Pressure Vessels and Piping 82, pp. 925 – 928, 2005. DOI: 10.1016/j.ijpvp.2005.04.002
Search in Google Scholar Back to article
[29] Kozbur, H., Shkodzinsky, O., Kozbur, I. “Construction of a generalized hardening curve for isotropic plastic metal materials“, Scientific Bulletin of I.-Fr. NTU of Oil and Gas 1 (48), pp. 38 – 46, 2020. DOI: 10.31471/1993-9965-2020-1(48)-38-46
Search in Google Scholar Back to article

Articles in this issue

DOI: https://doi.org/10.2478/scjme-2020-0024 | Journal eISSN: 2450-5471 | Journal ISSN: 0039-2472

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Language: English

Page range: 101 - 116

Published on: Dec 12, 2020

Published by: Slovak University of Technology in Bratislava

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

necking,

Related subjects:

Mechanical engineering,

Fundamentals of mechanical engineering,

Mechanics

© 2020 Kozbur Halyna, published by Slovak University of Technology in Bratislava
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 70 (2020): Issue 2 (November 2020)