Linear and Nonlinear Stability Analysis of Thin Rectangular Plates Subjected to Local In-Plane Shearing

Amar Kacimi, Ghania Ikhenazen, Foudil Mohri, Messaoud Saidani, Madina Kilardj

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Abstract

In the design of in-plane stressed thin plates, the load condition where the distributed edge shear is locally applied along the plate boundaries is often encountered and has thus far not been well investigated. This load configuration can induce buckling instability. The problem of shear buckling instability in such applications has so far received very little attention from researchers owing to the additional analytical difficulties involved in obtaining rigorous solutions to the buckling of plates when subjected to partial loadings, and the present research aims to address the problem and present a rigorous solution. It focuses on investigating the problem of linear and nonlinear buckling of simply supported thin plates subjected to local in-plane shearing using the finite element method. The critical shear buckling stress is determined for different load cases applied to a judiciously designed plate specimen. Compressive, shear and von Mises stress analyses are conducted. The results achieved are summarized as tables, graphs and iso-stress contours. It is shown that the stability effect of the load ratio on the specimen is reached when the load extent covers 55% of the plate sides. The plate buckling in the length direction is justified by significant compressive stresses recorded in this direction. It has been found that, at buckling, a compressive diagonal field action occurs. Finally, the von Mises analysis shows that plasticization occurs at the plate length loading stop points.

Original languageEnglish
Pages (from-to)689-698
Number of pages10
JournalStructural Engineering International: Journal of the International Association for Bridge and Structural Engineering (IABSE)
Volume33
Issue number4
Early online date7 Jul 2023
DOIs
Publication statusPublished - 2 Oct 2023

Bibliographical note

© 2023 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis GroupThis is an Open Access article distributed under the terms of the Creative Commons Attribution-NonCommercial-NoDerivativesLicense (http://creativecommons.org/licenses/by-nc-nd/4.0/), which permits non-commercial re-use, distribution, and reproduction inany medium, provided the original work is properly cited, and is not altered, transformed, or built upon in any way. The terms onwhich this article has been published allow the posting of the Accepted Manuscript in a repository by the author(s) or with their consent.

Keywords

  • Buckling
  • Finite element analysis
  • Linear analysis
  • Nonlinear analysis
  • Partial shear
  • Thin plate

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