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DOI Prefix: 10.47001/IRJIET

An Analytical 3-D Modeling Technique of Non-Linear Buckling Behavior of an Axially Compressed Rectangular Plate

Onyeka F. C.Department of Civil Engineering, Edo State University, Uzairue, Edo State, NigeriaMama B. O.Department of Civil Engineering, University of Nigeria, Enugu State, NigeriaWasiu JohnDepartment of Civil Engineering, Edo State University, Uzairue, Edo State, Nigeria

Vol 6 No 1 (2022): Volume 6, Issue 1, January 2022 | Pages: 91-101

International Research Journal of Innovations in Engineering and Technology

OPEN ACCESS | Research Article | Published Date: 22-01-2022

doi Logo doi.org/10.47001/IRJIET/2022.601017

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Abstract

This paper presents an analytical modeling technique for non-linear buckling behavior of axially compressed rectangular thick plate under uniformly distributed load. The aim of this study is to formulate the equation for calculation of the critical buckling load of a thick rectangular plate under uniaxial compression. Total potential energy equation of a thick plate was formulated from the three-dimensional (3-D) static elastic theory of the plate, from there on; an equation of compatibility was derived by transforming the energy equation to compatibility equation to get the relations between the rotations and deflection. The solution of compatibility equations yields the exact deflection function which was derived in terms of polynomial. The formulated potential energy was in the same way used by the method of general variation to obtain the governing differential equation whose solution gives the deflection coefficient of the plate. By minimizing the energy equation with respect to deflection coefficient after the obtained deflection and rotations equation were substituted into it, a more realistic formula for calculation of the critical buckling load was established. This expression was applied to solve the buckling problem of a thick rectangular plate that was simply supported at the first and fourth edges, clamped and freely supported in the second and third edge respectively (SCFS). Furthermore, effects of aspect ratio of the critical buckling load of a 3-D isotropic plate were investigated and discussed. The numerical analysis obtained showed that, as the aspect ratio of the plate increases, the value of critical buckling load decreases while as critical buckling load increases as the length to breadth ratio increases. This implies that an increase in plate width increases the chance of failure in a plate structure.  It is concluded that as the in-plane load which will cause the plate to fail by compression increases from zero to critical buckling load, the buckling of the plate exceeds specified elastic limit thereby causing failure in the plate structure.

Keywords

uniaxial buckling, CSFS rectangular plate, compressive load, variational method, stability analysis of thick plate, three-dimensional (3-D) plate theory


Citation of this Article

Onyeka, F. C., Mama, B. O., Wasiu, John, “An Analytical 3-D Modeling Technique of Non-Linear Buckling Behavior of an Axially Compressed Rectangular Plate”, Published in International Research Journal of Innovations in Engineering and Technology - IRJIET, Volume 6, Issue 1, pp 91-101, January 2022. Article DOI https://doi.org/10.47001/IRJIET/2022.601017

Licence Copyright (c) 2026 International Research Journal of Innovations in Engineering and Technology creative common licence This work is licensed under Creative common Attribution Non Commercial 4.0 Internation Licence
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