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. ,
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
Axisymmetric buckling of hollow spheres and hemispheres, Communications on Pure and Applied Mathematics, vol.23, issue.4, pp.529-568, 1970. ,
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. ,
Inhomogeneities and localised buckling patterns, IMA-Journal of Applied Mathematics, vol.71, pp.133-152, 1965. ,
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. ,
Buckling of a spherical shell under external pressure and inward concentrated load: asymptotic solution, Mathematics and Mechanics of Solids, pp.1-13, 2016. ,
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. ,
Cylinder buckling: The mountain pass as an organizing center, SIAM Journal on Applied Mathematics, vol.66, issue.5, pp.1793-1824, 2006. ,
Localized elasticae for the strut on the linear foundation, Journal of Applied Mechanics, vol.60, pp.1033-1038, 1993. ,
Buckling of spherical shells revisited, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science, vol.472, 2016. ,
Nonlinear buckling behavior of spherical shells: barriers and symmetry-breaking dimples, Philsophical Transactions of the Royal Society A, vol.375, 2017. ,
On the stability of an elastic equilibrium, 1945. ,
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. ,
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. ,
, Mechanics of Offshore Pipelines, vol.1, 2007.
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. ,
Stress and fold localization in thin elastic membranes, Science, vol.320, issue.5878, pp.912-916, 2008. ,
Amplitude modulation, phase modulation and localization of buckling patterns, Collapse: The Buckling of Structures in Theory and Practice, pp.149-159, 1983. ,
A translation of the stability of elastic equilibrium by Warner Tjardus Koiter, 1970. ,
The rotationally-symmetric branching behavior of a complete spherical shell, Proceedings of the Koninklijke Nederlandse Akademie van Wetenschappen, vol.67, pp.295-311, 1964. ,
On the localization of buckling patterns, Journal of Applied Mechanics, vol.47, issue.3, pp.613-619, 1980. ,
The buckling of thin cylindrical shells by external pressure, Journal of the Aeronautical Sciences, vol.7, issue.2, pp.43-50, 1939. ,
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. ,