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In-plane nonlinear buckling analysis of deep circular arches incorporating transverse stresses / Tong Gengshu in Journal of engineering mechanics, Vol. 134 N°5 (Mai 2008) 

Public ISBD [article]  in Journal of engineering mechanics > Vol. 134 N°5 (Mai 2008) . - pp.362–373. Titre : In-plane nonlinear buckling analysis of deep circular arches incorporating transverse stresses Type de document : texte imprimé Auteurs : Tong Gengshu, Auteur ; Yong-Lin Pi, Auteur ; Mark Andrew Bradford, Auteur Année de publication : 2008 Article en page(s) : pp.362–373. Note générale : Mécanique appliquée Langues : Anglais (eng) Mots-clés : Arches  Buckling  Elasticity  Nonlinear  analysis  Stress Résumé : Large discrepancies exist among current classical theories for the in-plane buckling of arches that are subjected to a constant-directed radial load uniformly distributed around the arch axis. Discrepancies also exist between the classical solutions and nonlinear finite-element results. A new theory is developed in this paper for the nonlinear analysis of circular arches in which the nonlinear strain-displacement relationship is based on finite displacement theory. In the resulting variational equilibrium equation, the energy terms due to both nonlinear shear and transverse stresses are included. This paper also derives a set of linearized equations for the elastic in-plane buckling of arches, and presents a detailed analysis of the buckling of deep circular arches under constant-directed uniform radial loading including the effects of shear and transverse stresses, and of the prebuckling deformations. The solutions of the new theory agree very well with nonlinear finite-element results. Various assumptions often used by other researchers, in particular the assumption of inextensibility of the arch axis, are examined. The discrepancies among the current theories are clarified in the paper. ISSN : 0733-9399 En ligne : http://ascelibrary.org/action/showAbstract?page=362&volume=134&issue=5&journalCo [...] [article] In-plane nonlinear buckling analysis of deep circular arches incorporating transverse stresses [texte imprimé] / Tong Gengshu, Auteur ; Yong-Lin Pi, Auteur ; Mark Andrew Bradford, Auteur . - 2008 . - pp.362–373. Mécanique appliquée Langues : Anglais (eng) in Journal of engineering mechanics > Vol. 134 N°5 (Mai 2008) . - pp.362–373. Mots-clés : Arches  Buckling  Elasticity  Nonlinear  analysis  Stress Résumé : Large discrepancies exist among current classical theories for the in-plane buckling of arches that are subjected to a constant-directed radial load uniformly distributed around the arch axis. Discrepancies also exist between the classical solutions and nonlinear finite-element results. A new theory is developed in this paper for the nonlinear analysis of circular arches in which the nonlinear strain-displacement relationship is based on finite displacement theory. In the resulting variational equilibrium equation, the energy terms due to both nonlinear shear and transverse stresses are included. This paper also derives a set of linearized equations for the elastic in-plane buckling of arches, and presents a detailed analysis of the buckling of deep circular arches under constant-directed uniform radial loading including the effects of shear and transverse stresses, and of the prebuckling deformations. The solutions of the new theory agree very well with nonlinear finite-element results. Various assumptions often used by other researchers, in particular the assumption of inextensibility of the arch axis, are examined. The discrepancies among the current theories are clarified in the paper. ISSN : 0733-9399 En ligne : http://ascelibrary.org/action/showAbstract?page=362&volume=134&issue=5&journalCo [...]