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Reference [12] is:
[12] Ohga, M., Wijenayaka, A. S. and Croll, J. G. A. (2005). Reduced stiffness buckling of sandwich cylindrical shells under uniform external pressure. Thin Wall. Struct. 43, 1188–1201.
FROM:
James G.A. Croll (Emeritus Professor of Civil Engineering, University College London),
“Validation and Design Use of Analytic Lower Bounds for the Unstable Postbuckling of Shells: Experimental, Analytical and Numerical Studies”, Chapter in: Buckling and Postbuckling Structures II, B Falzon (Editor), April 2018, World Scientific Publishing, 2018. DOI: 10.1142/9781786344335_0001
ABSTRACT: Because they so often exhibit extreme forms of nonlinear mode coupling in their imperfection-sensitive response, the buckling design of shells is often thought to require either massive computational power or vast accumulations of test data, or both. Nothing could be further from the truth. Virtually, all the information required to predict lower bounds to the imperfection-sensitive buckling loads, for the vast majority of shells, is conveniently contained within a reanalysis of the stiffness (or energy) components characterizing the linearized, classical critical load (eigenvalue) analysis. This chapter briefly outlines the philosophical basis for the "reduced stiffness method," refers to its capacity to predict lower bounds to the scatter of past test results, and illustrates its more recent validation through carefully controlled numerical experiments. It also demonstrates how the understanding of the relative importance of the various energy components within each of the prospective buckling modes provides a powerful guide as to the best choice of rib stiffening or fibre reinforcement to enhance the buckling performance. Although attention is focused on the elastic buckling behaviour, it will be indicated how a simple extension of the reduced stiffness method also allows prediction of lower bounds to elastic-plastic buckling loads of shells.
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