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Title: Buckling of super ellipsoidal shells under uniform pressure
Authors: Ma, Y.Q.
Wang, C.M. 
Ang, K.K. 
Keywords: Buckling
Ellipsoidal shells
Relative displacement concept
Solid shell element
Submerged shells
Super ellipsoidal shells
Thick shells
Issue Date: Jun-2008
Citation: Ma, Y.Q., Wang, C.M., Ang, K.K. (2008-06). Buckling of super ellipsoidal shells under uniform pressure. Thin-Walled Structures 46 (6) : 584-591. ScholarBank@NUS Repository.
Abstract: This paper is concerned with the elastic buckling of super ellipsoidal shells under external uniform pressure. The middle surface of a super ellipsoidal shell is defined by the following equation: (x / a)2 n + (y / b)2 n + (z / c)2 n = 1, where n is an integer varying from unity to infinity. It is clear from the equation that the range of shell shapes covered sphere (n=1, a=b=c) to cube (n = ∞, a = b = c) and ellipsoid (n=1) to cuboid (n = ∞). By adopting a recently proposed solid shell element for the buckling analysis, the critical buckling pressures of thin to thick super ellipsoidal shells are obtained and tabulated for engineers. The shell element allows for the effect of transverse shear deformation which becomes significant in thick shells. Their buckling shapes are also examined. In addition, a simple approximate formula for predicting the critical buckling pressure of thick spherical shells is proposed. © 2008 Elsevier Ltd. All rights reserved.
Source Title: Thin-Walled Structures
ISSN: 02638231
DOI: 10.1016/j.tws.2008.01.013
Appears in Collections:Staff Publications

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