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Linear and nonlinear buckling analysis of a locally stretched plate

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Abstract

Uniformly stretched thin plates do not buckle unless they are in special boundary conditions. However, buckling commonly occurs around discontinuities, such as cracks, cuts, narrow slits, holes, and different openings, of such plates. This study aims to show that buckling can also occur in thin plates that contain no defect or singularity when the stretching is local. This specific stability problem is analyzed with the finite element method. A brief literature review on stretched plates is presented. Linear and nonlinear buckling stress analyses are conducted for a partially stretched rectangular plate, and various load cases are considered to investigate the influence of the partial loading expanse on the critical tensile buckling load. Results are summarized in iso-stress areas, tables and graphs. Local stretching on one end of the plate induces buckling in the thin plate even without geometrical imperfection.

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Correspondence to Madina Kilardj.

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Recommended by Associate Editor Beomkeun Kim

Madina Kilardj was born in Algiers, Algeria. She is a Ph.D. student at the University of Sciences and Technology Houari Boumediene U.S.T.H.B. in Algeria, where she also received her master’s degree in Civil Engineering. Her research interests are civil engineering, structure analysis, strength of materials and plate stability.

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Kilardj, M., Ikhenazen, G., Messager, T. et al. Linear and nonlinear buckling analysis of a locally stretched plate. J Mech Sci Technol 30, 3607–3613 (2016). https://doi.org/10.1007/s12206-016-0721-5

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  • DOI: https://doi.org/10.1007/s12206-016-0721-5

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