On the strength and stability of elliptic toroidal domes

Novozhilov, 1970 Gould, 1988 Flugge, 1973 Zingoni, 1997 Blaauwendraad, 2013 2014 Zingoni, 1995, On membrane solutions for elevated shell-of-revolution tanks of certain meridional profiles, Thin-Walled Struct, 22, 121, 10.1016/0263-8231(94)00025-U Zingoni, 1995, Stress analysis of a storage vessel in the form of a complete triaxial ellipsoid: Hydrostatic effects, Int J Pressure Vessels Piping, 62, 269, 10.1016/0308-0161(94)00020-J Zingoni, 2001, Stresses and deformations in egg-shaped sludge digesters: Membrane effects, Eng Struct, 23, 1365, 10.1016/S0141-0296(01)00055-4 Zingoni, 2002, Parametric stress distribution in shell-of-revolution sludge digesters of parabolic ogival form, Thin-Walled Struct, 40, 691, 10.1016/S0263-8231(02)00020-4 Zingoni, 1993, Discontinuity phenomena around the supports of stepwise-thickened spherical steel tanks: Theoretical considerations and parametric results, Int J Pressure Vessels Piping, 53, 405, 10.1016/0308-0161(93)90071-Z Pavlovic, 1994, On the elastic design of concrete domes, Struct Eng Rev, 6, 57 Zingoni, 2001, Stresses and deformations in egg-shaped sludge digesters: Discontinuity effects, Eng Struct, 23, 1373, 10.1016/S0141-0296(01)00056-6 Zingoni, 2002, Discontinuity effects at cone-cone axisymmetric shell junctions, Thin-Walled Struct, 40, 877, 10.1016/S0263-8231(02)00022-8 Zingoni, 2015, A theoretical formulation for the stress analysis of multi-segmented spherical shells for high-volume liquid containment, Thin-Walled Struct, 87, 21 Von Karman, 1939, The buckling of spherical shells by external pressure, J Aeronaut Sci, 7, 43, 10.2514/8.1019 Singer, 1961, Buckling of circular conical shells under axisymmetrical external pressure, J Mech Eng Sci, 3, 330, 10.1243/JMES_JOUR_1961_003_045_02 Seide, 1960, On the buckling of truncated conical shells under uniform hydrostatic pressure, 363 Chan, 1998, A study of the buckling behaviour of horizontal saddle supported vessels, Thin-Walled Struct, 30, 3, 10.1016/S0263-8231(97)00029-3 Krivoshapko, 2007, Research on general and axisymmetric ellipsoidal shells used as domes, pressure vessels and tanks, Appl Mech Rev (ASME), 60, 336, 10.1115/1.2806278 Jaca, 2007, A reduced stiffness approach for the buckling of open cylindrical tanks under wind loads, Thin-Walled Struct, 45, 727, 10.1016/j.tws.2007.07.001 Golzan, 2008, Buckling of thin-walled conical shells under uniform external pressure, Thin-Walled Struct, 46, 516, 10.1016/j.tws.2007.10.011 Sosa, 2010, Challenges in the computation of lower-bound buckling loads for tanks under wind pressures, Thin-Walled Struct, 48, 935, 10.1016/j.tws.2010.06.004 Chen, 2011, Buckling of cylindrical shells with stepwise variable wall thickness under uniform external pressure, Eng Struct, 33, 3570, 10.1016/j.engstruct.2011.07.021 Burgos, 2014, Wind buckling of tanks with conical roof considering shielding by another tank, Thin-Walled Struct, 84, 226, 10.1016/j.tws.2014.06.007 2013 Jasion, 2012, Elastic buckling of horizontal barrelled shells filled with liquid: Numerical analysis, Thin-Walled Struct, 52, 117, 10.1016/j.tws.2011.12.014 Magnucki, 2013, Analytical description of pre-buckling and buckling states of barrelled shells under radial pressure, Ocean Eng, 58, 217, 10.1016/j.oceaneng.2012.11.004 Jasion, 2015, Elastic buckling of clothoidal-spherical shells under external pressure: Theoretical study, Thin-Walled Struct, 86, 18, 10.1016/j.tws.2014.10.001 Jasion, 2015, Theoretical investigation of the strength and stability of special pseudospherical shells under external pressure, Thin-Walled Struct, 93, 88, 10.1016/j.tws.2015.03.012 Blachut, 2008, Buckling of multi-segment underwater pressure hull, Ocean Eng, 35, 247, 10.1016/j.oceaneng.2007.08.003 Du, 2015, Buckling characteristics of a circular toroidal shell with stiffened ribs, Ocean Eng, 108, 325, 10.1016/j.oceaneng.2015.08.005 Jiammeepreecha, 2017, Nonlinear static analysis of an underwater elastic semi-toroidal shell, Thin-Walled Struct, 116, 12, 10.1016/j.tws.2017.03.001 Teng, 1996, Buckling of thin shells: Recent advances and trends, Appl Mech Rev (ASME), 49, 263, 10.1115/1.3101927 Zingoni, 2015, Liquid-containment shells of revolution: A review of recent studies on strength, stability and dynamics, Thin-Walled Struct, 87, 102, 10.1016/j.tws.2014.10.016 Pietraszkiewicz, 2015, Junctions in shell structures: A review, Thin-Walled Struct, 95, 310, 10.1016/j.tws.2015.07.010 Godoy, 2016, Buckling of vertical oil storage steel tanks: Review of static buckling studies, Thin-Walled Struct, 103, 1, 10.1016/j.tws.2016.01.026 Sutcliffe, 1971, Stress analysis of toroidal shells of elliptical cross-section, Int J Mech Sci, 13, 951, 10.1016/0020-7403(71)90081-6 Zingoni, 2015, Equatorial bending of an elliptic toroidal shell, Thin-Walled Struct, 96, 286, 10.1016/j.tws.2015.08.017 Sobel, 1967, Stability of toroidal shells under uniform external pressure, Am Inst Aeronaut Astronaut (AIAA) J, 5, 425, 10.2514/3.3997 Yamada, 1989, Free vibration of a toroidal shell with elliptical cross-section, J Sound Vib, 135, 411, 10.1016/0022-460X(89)90696-2 Xu, 2006, Natural frequencies of an orthotropic thin toroidal shell of elliptical cross-section, J Sound Vib, 293, 440, 10.1016/j.jsv.2005.09.020 Galletly, 1998, Elastic buckling of complete toroidal shells of elliptical cross-section subjected to uniform internal pressure, Thin-Walled Struct, 30, 23, 10.1016/S0263-8231(97)00030-X Combescure, 1999, Plastic buckling of complete toroidal shells of elliptical cross-section subjected to internal pressure, Thin-Walled Struct, 34, 135, 10.1016/S0263-8231(99)00006-3 Redekop D. Buckling analysis of an orthotropic elliptical toroidal shell. Proceedings of the ASME Pressure Vessels & Piping Conference, 2009, 3 (Design & Analysis), p. 33–40. Hawkins, 2016, Flexible formwork technologies: A state of the art review, Struct Concr, 17, 911, 10.1002/suco.201600117 Foster, 2016, A numerical solution for the shape of fabric-formed concrete structures, Structures, 8, 17, 10.1016/j.istruc.2016.08.003 Zingoni, 2005, Structural health monitoring, damage detection and long-term performance, Eng Struct, 27, 1713, 10.1016/j.engstruct.2005.06.001 Zingoni, 2018, Strength and stability of toroidal domes of prolate elliptic section Gol'denveizer, 1961 Hetényi, 1946 Gould, 1985 ABAQUS Standard. Hibbit, Karlsson and Sorenson Inc, Newark (California), 1998. Zingoni, 2018