J. C. Amazigo, B. Budiansky, and G. F. Carrier, Asymptotic analyses of the buckling of imperfect columns on nonlinear elastic foundations, International Journal of Solids and Structures, vol.6, issue.10, pp.1341-1356, 1970.

B. Audoly, Localized buckling of a floating Elastica, Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), vol.84, issue.1, p.11605, 2011.
URL : https://hal.archives-ouvertes.fr/hal-01898151

L. Bauer, E. L. Reiss, and H. B. Keller, Axisymmetric buckling of hollow spheres and hemispheres, Communications on Pure and Applied Mathematics, vol.23, issue.4, pp.529-568, 1970.

L. Baumgarten and J. Kierfeld, Shallow shell theory of the buckling energy barrier: from the Pogorelov state to softening and imperfection sensitivity close to the buckling pressure, Physical Review E, vol.99, p.22803, 2019.

D. Bushnell, Inhomogeneities and localised buckling patterns, IMA-Journal of Applied Mathematics, vol.71, pp.133-152, 1965.

A. Considère, Mémoire sur l'emploi du fer et de l'acier dans les constructions, Annales des Ponts et Chaussées, Série, vol.6, issue.9, pp.574-775, 1885.

A. Evkin, M. Kolesnikov, and D. A. Prikazchikov, Buckling of a spherical shell under external pressure and inward concentrated load: asymptotic solution, Mathematics and Mechanics of Solids, pp.1-13, 2016.

R. M. Groh and A. Pirrera, On the role of localizations in buckling of axially compressed cylinders, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.475, 2019.

J. Horák, G. J. Lord, and M. Peletier, Cylinder buckling: The mountain pass as an organizing center, SIAM Journal on Applied Mathematics, vol.66, issue.5, pp.1793-1824, 2006.

G. W. Hunt, M. K. Wadee, and N. Shiacolas, Localized elasticae for the strut on the linear foundation, Journal of Applied Mechanics, vol.60, pp.1033-1038, 1993.

J. W. Hutchinson, Buckling of spherical shells revisited, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science, vol.472, 2016.

J. W. Hutchinson and J. M. Thompson, Nonlinear buckling behavior of spherical shells: barriers and symmetry-breaking dimples, Philsophical Transactions of the Royal Society A, vol.375, 2017.

W. T. Koiter, On the stability of an elastic equilibrium, 1945.

W. T. Koiter, The nonlinear buckling problem of a complete spherical shell under uniform external pressure, Proceedings of the Koninklijke Nederlandse Akademie van Wetenschappen, vol.72, pp.40-123, 1969.

T. Kreilos and T. M. Schneider, Fully localized post-buckling states of cylindrical shells under axial compression, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.473, 2017.

S. Kyriakides and E. Corona, Mechanics of Offshore Pipelines, vol.1, 2007.

A. Lee, F. López-jiménez, J. Marthelot, J. W. Hutchinson, and P. M. Reis, The geometric role of precisely engineered imperfections on the critical buckling load of spherical elastic shells, ASME Journal of Applied Mechanics, vol.83, pp.111005-111005, 2016.

L. Pocivavsek, R. Dellsy, A. Kern, S. Johnson, B. Lin et al., Stress and fold localization in thin elastic membranes, Science, vol.320, issue.5878, pp.912-916, 2008.

M. Potier-ferry, Amplitude modulation, phase modulation and localization of buckling patterns, Collapse: The Buckling of Structures in Theory and Practice, pp.149-159, 1983.

E. Riks, A translation of the stability of elastic equilibrium by Warner Tjardus Koiter, 1970.

J. M. Thompson, The rotationally-symmetric branching behavior of a complete spherical shell, Proceedings of the Koninklijke Nederlandse Akademie van Wetenschappen, vol.67, pp.295-311, 1964.

B. Tvergaard and A. Needleman, On the localization of buckling patterns, Journal of Applied Mechanics, vol.47, issue.3, pp.613-619, 1980.

T. Von-kármán and H. Tsien, The buckling of thin cylindrical shells by external pressure, Journal of the Aeronautical Sciences, vol.7, issue.2, pp.43-50, 1939.

M. K. Wadee, G. W. Hunt, and A. I. Whiting, Asymptotic and Rayleigh-Ritz routes to localized buckling solutions in an elastic instability problem, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science, vol.453, pp.2085-2107, 1997.