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

[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

[2] Svensson, N. L. “The bursting pressure of cylindrical and spherical pressure vessels”, Trans ASME J. Appl. Mech. 80 (3), pp. 89 – 96, 1958.10.1115/1.4011694 Search in Google Scholar

[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)00298-410.1016/S0924-0136(02)00298-4 Search in Google Scholar

[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: 10.1115/1.204319710.1115/1.2043197 Search in Google Scholar

[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.2006.06.00110.1016/j.ijpvp.2006.06.001 Search in Google Scholar

[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.2011.02.00410.1016/j.ijmecsci.2011.02.004 Search in Google Scholar

[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)00126-010.1016/S0308-0161(01)00126-0 Search in Google Scholar

[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-2020-001010.2478/scjme-2020-0010 Search in Google Scholar

[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

[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

[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

[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.2011.09.00710.1016/j.ijpvp.2011.09.007 Search in Google Scholar

[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

[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_0210.1243/JMES_JOUR_1962_004_034_02 Search in Google Scholar

[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

[16] Kurkin, S. A. “Prochnost svarnykh tonkostennykh sosudov, rabotayushchikh pod davleniyem”, 183 p., 1976. Search in Google Scholar

[17] Kovalchuk, B. I. “K voprosu o potere ustoychivosti plasticheskogo deformirovaniya obolochek”, Problemy prochnosti. №5. pp. 11 – 16, 1983. Search in Google Scholar

[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

[19] Borodavkin. P. P. “Sooruzheniye magistralnykh truboprovodov” / P.P. Borodavkin, V.L. Berezin. M.: Nedra. 471 p. 1987. Search in Google Scholar

[20] Degtyarev V. P. “Deformatsii i razrusheniye v vysokonapryazhennykh konstruktsiyakh”. M.: Mashinostroyeniye. 105 p., 1987. Search in Google Scholar

[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

[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

[23] Updike, D. P. Kalnins, A. “Tensile plastic instability of axisymmetric pressure vessels”, J. Pres. Ves. Technol. 120 (1): pp. 6 – 11, 1998. DOI: 10.1115/1.284188810.1115/1.2841888 Search in Google Scholar

[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

[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

[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: 10.1243/03093247V02106210.1243/03093247V021062 Search in Google Scholar

[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_tntu2019.02.14510.33108/visnyk_tntu2019.02.145 Search in Google Scholar

[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.2005.04.00210.1016/j.ijpvp.2005.04.002 Search in Google Scholar

[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)-38-4610.31471/1993-9965-2020-1(48)-38-46 Search in Google Scholar