Prediction of the Boundary States for Thin-Walled Axisymmetric Shells Under Internal Pressure and Tension Loads

[1] Tomita, Y., Shindo, A., Nagai, M. “Axisymmetric deformation of circular elastic-plastic tubes under axial tension and internal pressure”, International Journal of Mechanical Sciences 26, pp. 437 - 444, 1984. DOI: 10.1016/0020-7403(84)90033-X10.1016/0020-7403(84)90033-XSearch in Google Scholar

[2] 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), p. 307, 2012.Search in Google Scholar

[3] 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), p. 51, 2013.Search in Google Scholar

[4] Bazhenov, V. G., Lomunov, V. K. “An experimental-theoretical study of the process of neck formation under tension of a steel tubular specimen before rupture”, In: Problems of durability and plasticity, Publishing House of the UNN, Nizhny Novgorod, Russia, pp. 35 – 41, 2001.Search in Google Scholar

[5] Grigolyuk, E. I., Kabanov, V., “Stability of shells”, Science, Moskow, USSR, 1978.Search in Google Scholar

[6] Pisarenko, G.S., Agaev, V.A., Kvitka, A.L., Popkov, V.G., Umanskiy, E.S. “Strength of Materials” 4^th ed., Vischa shkola, Kiev, USSR, 1979.Search in Google Scholar

[7] Middleton, J., Owen, DRJ., “Automated design optimization to minimize shearing stress in axisymmetric pressure-vessels”, Nuclear Engineering and Design 44 (3), pp. 357 - 366, 1977.10.1016/0029-5493(77)90170-4Search in Google Scholar

[8] Błachut, J. “Minimum weight of internally pressurised domes subject to plastic load failure”, Thin-Walled Structures 27(2), pp. 127 – 146, 1997. DOI:10.1016/s0263-8231(96)00036-510.1016/S0263-8231(96)00036-5Search in Google Scholar

[9] Zhu, L., Boyle, J.T., “Optimal shapes for axisymmetric pressure vessels: a brief overview”, Journal of Pressure Vessel Technology-transactions of the ASME 122 (4), p. 443, 2000. DOI:10.1115/1.130857210.1115/1.1308572Search in Google Scholar

[10] Carbonari, R. C., Muñoz-Rojas, P. A., Andrade, E. Q., Paulino, G. H., Nishimoto, K., Silva, E. C. N. “Design of pressure vessels using shape optimization: An integrated approach”, International Journal of Pressure Vessels and Piping 88 (5-7), pp. 198 – 212, 2011. DOI: 10.1016/j.ijpvp.2011.05.00510.1016/j.ijpvp.2011.05.005Search in Google Scholar

[11] “Kirchhoff - Love plate theory”. [online] Available at: URL: https://en.wikipedia.org/wiki/Kirchhoff%E2%80%93Love_platetheory.Search in Google Scholar

[12] Nadai, A. “Plasticity and destruction of solids”, Volume 1, ed. Shapiro, G. S., in 2 volumes, Foreign Literature, Moscow, USSR, 1954.Search in Google Scholar

[13] “Soprotivlenie materialov [Strength of Materials]”, In: Book editor with. Smirnov, A.F., Vysshaya shkola, Moskow, 1975.Search in Google Scholar

[14] Lebedev, A.A., Kovalchuk, B.I., Giginyak, F.G., Lamashevsky, V.P. “Mechanical Properties of Structural Materials under Complex Stress”, In: Book editor with Lebedev, A.A., In Yure, Kyiv, Ukraine, 2003. ISBN 966-8088-36-0Search in Google Scholar

[15] Friedman, Ya. B. “Mechanical properties of metals”, All-Union order of Lenin scientific research institute of aviation materials, Oborongiz, Moskow, 1946.Search in Google Scholar

[16] Robert, H. “Mathematical theory of plasticity” ed. trans. Grigolyuk, E. I., Gostekhizdat, Moscow, 1956.Search in Google Scholar

[17] Kaminsky, A.A., Bastun, V.N. “Deformation hardening and fracture of metals at variable loading processes”, Scientific Thought, Kyiv, 1985.Search in Google Scholar

[18] Shkodzinsky, O.K., Kozbur, G.V. “Investigation of the stability of the process of plastic deformation of a thin-walled tube under conditions of complex stress state”, Bulletin of the TDTU 14 (3), pp. 24 – 31, 2009.Search in Google Scholar

[19] Giginyak, F.F., Lebedev, A.A., Shkodzinsky, O.K. “Strength of structural materials at low cycle load under conditions of complex stress state”, Scientific Thought, Kyiv, 2003. ISBN 9660007868Search in Google Scholar