Elastic collapse of thin long cylindrical shells under external pressure. (March 2018)

• Record Type: Journal Article
• Authors: Salahshour, Soheil; Fallah, Famida
• Is Part Of: Thin-walled structures. Volume 124(2018)
• Page Start: 81
• Page End: 87
• Publication Date: 2018-03
• Subjects: Collapse -- External pressure -- Elastic buckling -- Ritz method; Thin-walled structures -- Periodicals; 690.1
• DOI: 10.1016/j.tws.2017.11.058
• Languages: English
• ISSNs: 0263-8231

Abstract

Abstract: This paper investigates local elastic buckling of thin long cylindrical shells under external pressure. Based on Donnell's and Sanders' theories of thin shells and von Karman nonlinearity assumptions, the potential energy is derived. The buckling load and curves of the static equilibrium path are obtained using the Ritz method. The results are validated with the existing ones in the literature. Furthermore, the case where the pressure is perpendicular to the deformed state is compared with a dead loading. It is demonstrated that the former yields a lower critical pressure in both shell theories. Highlights: Based on Donnell's and Sanders' theories of thin shells along with von Karman's nonlinear strain-displacement relations and using the Ritz method, the buckling pressure of thin long circular cylindrical shells under external pressure is investigated. It is shown that taking into account the prependicularity of the pressure to the deformed state dereases the collapse pressure. It is observed that Donnell's theory predicts a lower collapse pressure than that of Sanders'.