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A numerical model based on closed form solution for elastic stability of thin plates

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Published under licence by IOP Publishing Ltd
, , Citation S Ciaramella et al 2010 IOP Conf. Ser.: Mater. Sci. Eng. 10 012147 DOI 10.1088/1757-899X/10/1/012147

1757-899X/10/1/012147

Abstract

An analytical approach for studying the elastic stability of thin rectangular plates under arbitrary boundary conditions is presented. Because the solution is given in closed-form, the approach can be regarded as "exact" under the Kirchhoff-Love assumption. The proposed procedure allows us to obtain the buckling load and modal displacements that do not depend on the number of elements adopted in the numerical discretization using, say, the finite element method.

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10.1088/1757-899X/10/1/012147