Buckling analysis of Levy-type orthotropic stiffened plate and shell based on different strain-displacement models

Abstract In the present work a model able to predict the buckling behavior of thin, orthotropic, stiffened plates and shells subject to axial compression is proposed. In the context of the Kirchhoff-Love plate theory and making use of different strain-displacement models – namely the von Karman model, the Koiter–Sanders shell model, an enhanced von Karman model and a spurious model commonly adopted in literature – the equilibrium equations have been solved by the Levy-type approach. The results obtained highlight the influence of each non-linear strain-displacement term and show that the von Karman model can noticeably overestimate the buckling load when the critical mode involves significant in-plane displacements.

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