Elastoplastic Buckling Analysis of Plates Involving Free Edges by Deformation Theory of Plasticity

Maarefdoust, Mahdi; Kadkhodayan, Mehran

doi:10.5829/idosi.ije.2013.26.04a.11

Cited by 4 publications

(5 citation statements)

References 14 publications

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“…The experimental and numerical elstoplastic dynamic response analysis of thin plate subjected to explosive loading using air and water as the energy transmission media were investigated by sheet metal forming researchers. Impulsive loading can be imposed in the axial direction and lateral direction to investigate the elastoplastic buckling of structures 1–10 and the large elastoplastic deformation respectively. 11–15 In addition, the effects of strain rate and deformation of plate subjected to underwater explosive load were investigated by researchers.…”

Section: Introductionmentioning

confidence: 99%

“…Komur 6 implemented finite element methods to study the effects of size, angle, location of elliptical holes and slenderness ratio on elastoplastic buckling of simply supported square and rectangular thin steel plates. Kadkhodayan and Maarefdoust 2,3 investigated the elastoplastic buckling of a thin rectangular plate with various boundary conditions by implementing the generalized differential quadrature (GDQ) discretization technique in DT and IT. Jones 11 focused to derive a simple relation for the maximum plastic deformation of plate subjected to blast loading according to experimental data.…”

Section: Introductionmentioning

confidence: 99%

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The influence of strain rate on the cavitation time and deformation of an underwater impulsively rectangular plate

Azarboni

Darvizeh

2021

The Journal of Strain Analysis for Engineering Design

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The effect of strain rate on the cavitation time and elastoplastic deformation of steel rectangular plate subjected to underwater explosion load is analytically and numerically investigated in this study. At the cavitation time, the total pressure of the explosion is eliminated so that the cavitation time plays a significant role in the elastoplastic deformation of underwater explosive forming of plate. Taking into account the strain rate effect, the Cowper-Symond constitutive equation of mild steel is employed. Exact linear solution using the Eigen function and numerical linear and nonlinear solution using finite difference method (FDM) of dynamic response of impulsively plate is obtained. Implementing the linear work hardening, the stress, strain, displacement, and velocity in any steps of loading are calculated. The time of cavitation can be recognized in elastic or plastic regimes by applying the Cowper-Symond constitutive equation. Considering the strain rate influence, the effects of charge mass and standoff are investigated to occur of cavitation and time dependent deflection and velocity of a rectangular plate.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

The influence of strain rate on the cavitation time and deformation of an underwater impulsively rectangular plate

Azarboni

Darvizeh

2021

The Journal of Strain Analysis for Engineering Design

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“…Inelastic and elasto-plastic buckling of rectangular plates subjected to in-plane compression have been analysed using different methods and plasticity theories. Recent investigations on elasto-plastic and inelastic buckling of plates have been conducted [2][3][4][5][6][7][8][9][10][11]. Analytical solutions to elasto-plastic and inelastic buckling problems of rectangular plates are available for simply-supported plates [12].…”

Section: Introductionmentioning

confidence: 99%

“…The inelastic and elasto-plastic buckling of rectangular plates subjected to free edges have not received much attention although some researchers [15][16][17][18][19][20] analysed plate elastic buckling with free edges. Maarefdoust and Kadkhodayan [7] studied the elasto-plastic buckling of rectangular plates using deformation plasticity theory and generalised differential quadrature method, with each plate having one or two loaded free edges. The inelastic buckling of different isotropic thin rectangular plates with an unloaded free edge is analysed in this article using polynomial deflection functions in the energy approach.…”

Section: Introductionmentioning

confidence: 99%

Analysis of inelastic buckling of rectangular plates with a free edge using polynomial deflection functions

Eziefula¹

2020

International Review of Applied Sciences and Engineering

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The inelastic buckling behaviour of different rectangular thin isotropic plates having a free edge is studied. Various combinations of boundary conditions are subject to in-plane uniaxial compression and each rectangular plate is bounded by an unloaded free edge. The characteristic deflection function of each plate is formulated using a polynomial function in form of Taylor–Maclaurin series. A deformation plasticity approach is adopted and the buckling load equation is modified using a work principle technique. Buckling coefficients of the plates are calculated for various aspect ratios and moduli ratios. Findings obtained from the investigation are found to reasonably agree with data published in the literature.

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“…Most times, these thin-walled plate elements are prone to buckling because of the action of high compressive forces. Various approaches have been used recently to solve elastoplastic and inelastic buckling problems of plates (Wang et al , 2005; Belinha and Dinis, 2006; Wang and Huang, 2009; Becque, 2010; Komur, 2011; Maarefdoust and Kadkhodayan, 2013, 2014, 2015; Fallah and Parayandeh-Shahrestany, 2014; Kadkhodayan and Maarefdoust, 2014; Ilhan and Muradoglu, 2015). The energy approach to plate continuum analysis appears to be dominated by Rayleigh–Ritz and Galerkin methods which have their peculiar limitations.…”

Section: Introductionmentioning

confidence: 99%

Work principle in inelastic buckling analysis of axially compressed rectangular plates

Eziefula

Onwuka

Ibearugbulem

2017

WJE

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Purpose The purpose of this paper is to analyze the inelastic buckling of a rectangular thin flat isotropic plate subjected to uniform uniaxial in-plane compression using a work principle, a deformation plasticity theory and Taylor–Maclaurin series formulation. Design/methodology/approach The non-loaded longitudinal edges of the rectangular plate are clamped, whereas the loaded edges are simply supported (CSCS). Total work error function is applied to Stowell’s plasticity theory in the derivation of the inelastic buckling equation. Mathematical formulation of the Taylor–Maclaurin series deflection function satisfied the boundary conditions of the CSCS rectangular plate. The critical inelastic load of the plate is then derived by applying variational principles. Findings Values of the plate buckling coefficient are calculated using various values of moduli ratio for aspect ratios ranging from 0.1 to 1.0, in intervals of 0.1. The accuracy of the proposed technique is validated by comparing the results obtained in the present study with solutions from a previous investigation. The percentage differences in the values of the buckling coefficient ranged from −0.122 to −4.685 per cent. Originality/value The results indicate that the work principle approach can be used as an alternative approximate method for analyzing inelastic buckling of rectangular thin flat isotropic plates under uniform in-plane compressive loads.

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Elastoplastic Buckling Analysis of Plates Involving Free Edges by Deformation Theory of Plasticity

Cited by 4 publications

References 14 publications

The influence of strain rate on the cavitation time and deformation of an underwater impulsively rectangular plate

The influence of strain rate on the cavitation time and deformation of an underwater impulsively rectangular plate

Analysis of inelastic buckling of rectangular plates with a free edge using polynomial deflection functions

Work principle in inelastic buckling analysis of axially compressed rectangular plates

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