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Journal articles on the topic 'Buckling; Thinwalled Isotropic Rectangular Plate'

Author: Grafiati

Published: 5 June 2025

Last updated: 1 August 2025

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1

Sayyad, Atteshamuddin S., and Yuwaraj M. Ghugal. "On the Buckling of Isotropic, Transversely Isotropic and Laminated Composite Rectangular Plates." International Journal of Structural Stability and Dynamics 14, no. 07 (2014): 1450020. http://dx.doi.org/10.1142/s0219455414500205.

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This paper presents the uniaxial and biaxial buckling analysis of rectangular plates based on new trigonometric shear and normal deformation theory. The theory accounts for the cosine distribution of the transverse shear strain through the plate thickness and on the free boundary conditions on the plate surfaces without using the shear correction factor. Governing equations and boundary conditions of the theory are derived by the principle of virtual work. The Navier type solutions for the buckling analysis of simply supported isotropic, transversely isotropic, orthotropic and symmetric cross-

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2

Eziefula, U. G., D. O. Onwuka, and O. M. Ibearugbulem. "Work principle in inelastic buckling analysis of axially compressed rectangular plates." World Journal of Engineering 14, no. 2 (2017): 95–100. http://dx.doi.org/10.1108/wje-12-2016-0171.

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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 deflec

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3

El-Sayad, Mohamed A., and Ahmed M. Farag. "Semi-Analytical Solution Based on Strip Method for Buckling and Vibration of Isotropic Plate." Journal of Applied Mathematics 2013 (2013): 1–10. http://dx.doi.org/10.1155/2013/796274.

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The present paper achieves a semianalytical solution for the buckling and vibration of isotropic rectangular plates. Two opposite edges of plate are simply supported and others are either free, simply supported, or clamped restrained against rotation. The general Levy type solution and strip technique are employed with transition matrix method to develop a semianalytical approach for analyzing the buckling and vibration of rectangular plates. The present analytical approach depends on reducing the strips number of the decomposed domain of plate without escaping the results accuracy. For this t

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4

Najafizadeh, M. M., M. Mahdavian, and P. Khazaeinejad. "Superposition Buckling Analysis of Rectangular Plates Composed of Functionally Graded Materials Subjected to Non-Uniform Distributed In-Plane Loading." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 224, no. 11 (2010): 2299–307. http://dx.doi.org/10.1243/09544062jmes2134.

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In this research, mechanical buckling of rectangular plates of functionally graded materials (FGMs) is considered. Equilibrium and stability equations of an FGM rectangular plate under uniform in-plane compression are derived. For isotropic materials, convergent buckling loads have been presented for non-uniformly compressed rectangular plates based on a rigorous superposition Fourier solution for the in-plane Airy stress field and Galerkin's approach for stability analysis. Results for isotropic cases are compared with reference articles and finite-element method solution. Finally, the result

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5

Eziefula, Uchechi G. "Analysis of inelastic buckling of rectangular plates with a free edge using polynomial deflection functions." International Review of Applied Sciences and Engineering 11, no. 1 (2020): 15–21. http://dx.doi.org/10.1556/1848.2020.00003.

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AbstractThe 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 ratio

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6

Ibearugbulem, O. M., U. G. Eziefula, and D. O. Onwuka. "Inelastic Stability Analysis Of Uniaxially Compressed Flat Rectangular Isotropic CCSS Plate." International Journal of Applied Mechanics and Engineering 20, no. 3 (2015): 637–45. http://dx.doi.org/10.1515/ijame-2015-0042.

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Abstract This study investigates the inelastic stability of a thin flat rectangular isotropic plate subjected to uniform uniaxial compressive loads using Taylor-Maclaurin series formulated deflection function. The plate has clamped and simply supported edges in both characteristic directions (CCSS boundary conditions). The governing equation is derived using a deformation plasticity theory and a work principle. Values of the plate buckling coefficient are calculated for aspect ratios from 0.1 to 2.0 at intervals of 0.1. The results compared favourably with the elastic stability values and the

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7

Abdul-Majeed, Wael R., Muhsin J. Jweeg, and Adnan N. Jameel. "THERMAL BUCKLING OF RECTANGULAR PLATES WITH DIFFERENT TEMPERATURE DISTRIBUTION USING STRAIN ENERGY METHOD." Journal of Engineering 17, no. 05 (2011): 1047–65. http://dx.doi.org/10.31026/j.eng.2011.05.02.

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By using governing differential equation and the Rayleigh-Ritz method of minimizing the total potential energy of a thermoelastic structural system of isotropic thermoelastic thin plates, thermal buckling equations were established for rectangular plate with different fixing edge conditions and with different aspect ratio. The strain energy stored in a plate element due to bending, mid-plane thermal force and thermal bending was obtained. Three types of thermal distribution have been considered these are: uniform temperature, linear distribution and non-linear thermal distribution across thick

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8

Onyeka, F. C., T. E. Okeke, and C. D. Nwa-David. "Static and Buckling Analysis of a Three-Dimensional (3-D) Rectangular Thick Plates Using Exact Polynomial Displacement Function." European Journal of Engineering and Technology Research 7, no. 2 (2022): 29–35. http://dx.doi.org/10.24018/ejeng.2022.7.2.2725.

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This paper is devoted to study the buckling response of axially compressed rectangular thick plate based on the exact polynomial potential functional. The governing and equilibrium equation of an isotropic plate was derived based on the three-dimensional (3-D) static theory of elasticity, to get the relations between the rotations and deflection. These equations are solved in the form of polynomial analytically to obtain the exact displacements and stresses that are induced due to uniaxial compressive load action on the plate. By incorporating deflection and rotation function into the fundamen

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9

Ibeabuchi, V. T., O. M. Ibearugbulem, C. Ezeah, and O. O. Ugwu. "Elastic Buckling Analysis of Uniaxially Compressed CCCC Stiffened Isotropic Plates." International Journal of Applied Mechanics and Engineering 25, no. 4 (2020): 84–95. http://dx.doi.org/10.2478/ijame-2020-0051.

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AbstractThis paper reports a research study that investigated buckling of stiffened rectangular isotropic plates elastically restrained along all the edges (CCCC) under uniaxial in-plane load, using the work principle approach. The stiffeners were assumed to be rigidly connected to the plate. Analyses for critical buckling of stiffened plates were carried out by varying parameters, such as the number of stiffeners, stiffness properties and aspect ratios. The study involved a theoretical derivation of a peculiar shape function by applying the boundary conditions of the plate on Taylor Maclaurin

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10

York, C. B. "Elastic buckling design curves for isotropic rectangular plates with continuity or elastic edge restraint against rotation." Aeronautical Journal 104, no. 1034 (2000): 175–82. http://dx.doi.org/10.1017/s0001924000028074.

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Abstract Elastic buckling design curves are presented for flat isotropic rectangular plates, which are either isolated or form part of a larger continuous plate structure. The design curves illustrate the effect of introducing combinations of elastic rptational restraints to the edges of simply supported isolated plates, which are subject to uniform in-plane compression or shear. Results for infinitely long and/or wide plates, with rectangular bays, are superimposed for comparison.

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11

Al Qablan, Husam. "Applicable Formulas for Shear and Thermal Buckling of Perforated Rectangular Panels." Advances in Civil Engineering 2022 (January 19, 2022): 1–14. http://dx.doi.org/10.1155/2022/3790462.

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The goal of this study is to create semiempirical formulations for predicting thermal and shear buckling loads of perforated rectangular isotropic panels for eight combinations of boundary conditions. The finite element method (FEM) was used to develop and evaluate empirical formulations. In this study, the influences of plate aspect ratios, boundary conditions, and perforation sizes on the buckling strength of perforated panels subjected to shear and thermal loads are investigated. The proposed formulas will enable consistent and reliable computation of the buckling loads for perforated recta

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12

Khalfi, Y., B. Sallai, and Y. Bellebna. "Buckling analysis of plates using an efficient sinusoidal shear deformation theory." Journal of Fundamental and Applied Sciences 14, no. 1 (2023): 210–28. http://dx.doi.org/10.4314/jfas.v14i1.11.

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Mechanical buckling response of isotropic and orthotropic plates using the two variable refined plate theory is presented in this paper. The theory takes account of transverse shear effects and parabolic distribution of the transverse shear strains through the thickness of the plate; hence it is unnecessary to use shear correction factors. Governing equations are derived from the principle of virtual displacements. The nonlinear strain-displacement of Von Karman relations are also taken into consideration. The closed-form solution of a simply supported rectangular plate subjected to in-plane l

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13

Sohan, R., S. Likith, Jeevan Sai, and Shashank Vadlamani. "Linear, nonlinear and post buckling analysis of a stiffened panel with cutouts." IOP Conference Series: Materials Science and Engineering 1248, no. 1 (2022): 012078. http://dx.doi.org/10.1088/1757-899x/1248/1/012078.

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Abstract Stiffeners are typically used to strengthen structures that rely on plates for load bearing. Such structures are subjected to various kinds of in-plane and out-of-plane loading over its lifespan. Furthermore, cutouts in aerospace structures are considered for practical and design reasons. In the present paper, finite element method is used for the analysis of a flat rectangular stiffened plate. Static analysis is performed on three panels with different stiffener cross sections (I section, hat section and rectangular section), and the panel with the least deformation and stress is cho

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14

Ibearugbulem, O. M., S. I. Ebirim, U. C. Anya, and L. O. Ettu. "Application of alternative II theory to vibration and stability analysis of thick rectangular plates (Isotropic and orthotropic)." Nigerian Journal of Technology 39, no. 1 (2020): 52–62. http://dx.doi.org/10.4314/njt.v39i1.6.

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This work analysed the free vibration and stability of thick isotropic and orthotropic plates with SSSS and SSFS support conditions by applying the alternative II theory based on polynomial shape function. The total potential energy which was obtained by combining the strain energy and external work was reduced to three governing equations using Ritz method. Polynomial shape function which varies with Poisson’s ratio was substituted into the governing equation to obtain the fundamental natural frequency, linear frequency and critical buckling load. The values of frequencies of the first mode a

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15

Amabili, Marco, and Mohammad Reza Sareban Tajahmadi. "Thermal post-buckling of laminated and isotropic rectangular plates with fixed edges: Comparison of experimental and numerical results." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 226, no. 10 (2012): 2393–401. http://dx.doi.org/10.1177/0954406211434496.

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Post-buckling behaviors of laminated composite and isotropic rectangular plates subjected to various thermal changes are studied. Geometric imperfections are taken into account since they play a fundamental role. The plate is modeled using a nonlinear, higher order shear deformation theory. Plates with clamped edges are considered. A pseudo-arc length continuation method is used to obtain numerical results. Laboratory experiments have been performed in order to compare to the numerical calculations.

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16

Thai, Huu-Tai, and Brian Uy. "Levy solution for buckling analysis of functionally graded plates based on a refined plate theory." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 227, no. 12 (2013): 2649–64. http://dx.doi.org/10.1177/0954406213478526.

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This article presents analytical solutions for buckling analysis of functionally graded plate based on a refined plate theory. Based on the refined shear deformation theory, the position of neutral surface is determined and the governing stability equations based on neutral surface are derived. There is no stretching–bending coupling effect in the neutral surface-based formulation, and consequently, the governing equations and boundary conditions of functionally graded plates based on neutral surface have the simple forms as those of isotropic plates. The closed-form solutions of buckling load

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17

Onyeka, Festus Chukwudi. "Stability analysis of three-dimensional thick rectangular plate using direct variational energy method." Journal of Advances in Science and Engineering 6, no. 2 (2022): 1–78. http://dx.doi.org/10.37121/jase.v6i2.187.

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This study investigated the elastic static stability analysis of homogeneous and isotropic thick rectangular plates with twelve boundary conditions and carrying uniformly distributed uniaxial compressive load using the direct variational method. In the analysis, a thick plate energy expression was developed from the three-dimensional (3-D) constitutive relations and kinematic deformation; thereafter the compatibility equations used to resolve the rotations and deflection relationship were obtained. Likewise, the governing equations were derived by minimizing the equation for the potential ener

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18

Hosseini-Hashemi, Sh, S. R. Atashipour, and M. Fadaee. "On the buckling analysis of isotropic, transversely isotropic, and laminated rectangular plates via Reddy plate theory: an exact closed-form procedure." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 226, no. 5 (2011): 1210–24. http://dx.doi.org/10.1177/0954406211422661.

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Based on Reddy's third-order shear deformation theory, an exact closed-form solution is proposed to describe linear buckling of transversely isotropic laminated rectangular plates under either mono- or bi-axial compressive in-plane loads. To this end, the coupled governing equations are exactly converted to two sets of uncoupled equations for in-plane and transverse deformations of symmetric laminated plates. The new uncoupled equations are analytically solved by applying both Navier and Lévy-type solution methods. The validity and high accuracy of the current exact solution are evaluated by c

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19

Kadari, Belkacem, Aicha Bessaim, Abdelouahed Tounsi, Houari Heireche, Abdelmoumen Anis Bousahla, and Mohammed Sid Ahmed Houari. "Buckling Analysis of Orthotropic Nanoscale Plates Resting on Elastic Foundations." Journal of Nano Research 55 (November 2018): 42–56. http://dx.doi.org/10.4028/www.scientific.net/jnanor.55.42.

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This work presents the buckling investigation of embedded orthotropic nanoplates by using a new hyperbolic plate theory and nonlocal small-scale effects. The main advantage of this theory is that, in addition to including the shear deformation effect, the displacement field is modeled with only three unknowns and three governing equation as the case of the classical plate theory (CPT) and which is even less than the first order shear deformation theory (FSDT) and higher-order shear deformation theory (HSDT). A shear correction factor is, therefore, not required. Nonlocal differential constitut

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20

Bera, Puspendu, Jayant Prakash Varun, and Prashanta K. Mahato. "Buckling analysis of isotropic and orthotropic square/rectangular plate using CLPT and different HSDT models." Materials Today: Proceedings 56 (2022): 237–44. http://dx.doi.org/10.1016/j.matpr.2022.01.106.

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21

KANG, JAE-HOON, and ARTHUR W. LEISSA. "VIBRATION AND BUCKLING OF SS-F-SS-F RECTANGULAR PLATES LOADED BY IN-PLANE MOMENTS." International Journal of Structural Stability and Dynamics 01, no. 04 (2001): 527–43. http://dx.doi.org/10.1142/s0219455401000299.

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This paper presents exact solutions for the free vibrations and buckling of rectangular plates having two opposite, simply supported edges subjected to linearly varying normal stresses causing pure in-plane moments, the other two edges being free. Assuming displacement functions which are sinusoidal in the direction of loading (x), the simply supported edge conditions are satisfied exactly. With this the differential equation of motion for the plate is reduced to an ordinary one having variable coefficients (in y). This equation is solved exactly by assuming power series in y and obtaining its

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22

Onyeka, F. C., David C. D. . Nwa, and Ohiwere . Ikhazuagbe. "A Study on Stability Analysis of 3-D Shear Deformable Isotropic Plate Elastically Restrained against Rotation and Simply Supported in the two Adjacent Edges using Exact Displacement Potential." Engineering and Technology Journal 07, no. 07 (2022): 1350–61. https://doi.org/10.5281/zenodo.6844925.

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In this paper, a three-dimensional (3-D) stability analysis of rectangular deformable plate was performed to find the solution to the buckling problem of a uniaxially compressed plate in which the two adjacent loaded edges is clamped and the other, simply supported (CSCS).  A three dimensional kinematics and constitutive relations were used to obtain the equation of total energy functional. The general and direct variation of the total potential energy function was done to get the general and direct governing equation of the plate by considering the effect of shear deformation.

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23

Yuldashev, A., and Sh T. Pirmatov. "ALGORITHMIZATION OF SOLVING DYNAMIC EDGE PROBLEMS OF THE THEORY OF FLEXIBLE RECTANGULAR PLATES." Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika, no. 66 (2020): 143–57. http://dx.doi.org/10.17223/19988621/66/12.

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In this paper, a computational algorithm is developed on the basis of the finite difference method for solving dynamic edge problems of the theory of flexible shells with account for shears and rotary inertia. Dynamic calculations of flexible plates is used in designing hulls of ships, aircraft, missiles, and other technical objects, which, along with sufficient strength, should have the least weight ensured by the use of lightweight plates and by reducing the margin of safety. The problem of developing an automated system for solving problems of the theory of elasticity and plasticity was fir

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24

Zureick, Abdul-Hamid. "On the buckling of an isotropic rectangular plate uniformly compressed on two simply supported edges and with two free unloaded edges." Thin-Walled Structures 124 (March 2018): 180–83. http://dx.doi.org/10.1016/j.tws.2017.12.012.

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25

Abramovich, H. "The Variation Of The Natural Frequencies With Increasing Pure Shear Loads For Rectangular Isotropic Plates." April 13, 2022. https://doi.org/10.5281/zenodo.6531724.

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A numerical study was performed, to investigate the influence of applied pure shear on the natural frequencies of flat isotropic rectangular plates with simply supported boundary conditions all around their perimeter. Various aspect ratios were investigated, and their relevant buckling loads and modes were calculated using the ANSYS Workbench 2020 FE code. It was found that the frequency squared vs. the applied pure shear relationship displays a non-linear behavior. This behavior can be approximated with a high confidence when fitting a 4th order polynomial equation to the numerical curve. The

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26

B., S. Jayashankarbabu, and Karisiddappa. "Stability of Square Plate with Concentric Cutout." February 4, 2014. https://doi.org/10.5281/zenodo.1091246.

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The finite element method is used to obtain the elastic buckling load factor for square isotropic plate containing circular, square and rectangular cutouts. ANSYS commercial finite element software had been used in the study. The applied inplane loads considered are uniaxial and biaxial compressions. In all the cases the load is distributed uniformly along the plate outer edges. The effects of the size and shape of concentric cutouts with different plate thickness ratios and the influence of plate edge conditions, such as SSSS, CCCC and mixed boundary condition SCSC on the plate buckling stren

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27

B., S. Jayashankarbabu, and Karisiddappa. "Stability of Square Plate with Concentric Cutout." International Journal of Architectural, Civil and Construction Sciences 7.0, no. 3 (2014). https://doi.org/10.5281/zenodo.1337071.

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The finite element method is used to obtain the elastic buckling load factor for square isotropic plate containing circular, square and rectangular cutouts. ANSYS commercial finite element software had been used in the study. The applied inplane loads considered are uniaxial and biaxial compressions. In all the cases the load is distributed uniformly along the plate outer edges. The effects of the size and shape of concentric cutouts with different plate thickness ratios and the influence of plate edge conditions, such as SSSS, CCCC and mixed boundary condition SCSC on the plate buckling stren

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28

Su, Xin, Eburilitu Bai, and Guojun Hai. "Unified solution of some problems of rectangular plates with four free edges based on symplectic superposition method." Engineering Computations, July 12, 2023. http://dx.doi.org/10.1108/ec-08-2022-0533.

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PurposeA unified framework for solving the bending, buckling and vibration problems of rectangular thin plates (RTPs) with four free edges (FFFF), including isotropic RTPs, orthotropic rectangular thin plates (ORTPs) and nano-rectangular plates, is established by using the symplectic superposition method (SSM).Design/methodology/approachThe original fourth-order partial differential equation is first rewritten into Hamiltonian system. The class of boundary value problems of the original equation is decomposed into three subproblems, and each subproblem is given the corresponding symplectic eig

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29

Jeyaraj, P., Chandramouli Padmanabhan, and N. Ganesan. "Vibration and Acoustic Response of an Isotropic Plate in a Thermal Environment." Journal of Vibration and Acoustics 130, no. 5 (2008). http://dx.doi.org/10.1115/1.2948387.

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This paper presents numerical simulation studies on the vibration and acoustic response characteristics of an isotropic rectangular plate in a thermal environment using commercial finite element softwares ANSYS and SYSNOISE. First the critical buckling temperature is obtained, followed by modal and harmonic analyses considering prestress due to the thermal field in the plate, with the critical buckling temperature as a parameter. The vibration response predicted is then used to compute the sound radiation. It is found that the displacement response of the structure increases with an increase i

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30

V., Piscopo. "Refined Buckling Analysis of Rectangular Plates Under Uniaxial and Biaxial Compression." October 27, 2010. https://doi.org/10.5281/zenodo.1078458.

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In the traditional buckling analysis of rectangular plates the classical thin plate theory is generally applied, so neglecting the plating shear deformation. It seems quite clear that this method is not totally appropriate for the analysis of thick plates, so that in the following the two variable refined plate theory proposed by Shimpi (2006), that permits to take into account the transverse shear effects, is applied for the buckling analysis of simply supported isotropic rectangular plates, compressed in one and two orthogonal directions. The relevant results are compared with the classical

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31

Tenenbaum, Joseph, and Moshe Eisenberger. "Analytical Buckling Loads of Composite Rectangular Plates with Vertical and Rotational Springs Along the Edges." International Journal of Structural Stability and Dynamics, October 1, 2020, 2043002. http://dx.doi.org/10.1142/s0219455420430026.

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In this research, a new analytical solution is used for finding the buckling loads of rectangular plates with vertically and rotationally restrained edges. The solution method in this study is based on the development of a static solution for a plate. The solution is obtained in series form, and the coefficients are solved to match the edge conditions. The solution fits all the combinations of possible boundary conditions, of the deflection, slope, shear force and bending moment along the edges of the plate. In the case of springs, the edge force and moment boundary conditions are modified to

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32

F. C., Onyeka,. "A Study on Stability Analysis of 3-D Shear Deformable Isotropic Plate Elastically Restrained against Rotation and Simply Supported in the two Adjacent Edges using Exact Displacement Potential." Engineering and Technology Journal 07, no. 07 (2022). http://dx.doi.org/10.47191/etj/v7i7.05.

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In this paper, a three-dimensional (3-D) stability analysis of rectangular deformable plate was performed to find the solution to the buckling problem of a uniaxially compressed plate in which the two adjacent loaded edges is clamped and the other, simply supported (CSCS). A three dimensional kinematics and constitutive relations were used to obtain the equation of total energy functional. The general and direct variation of the total potential energy function was done to get the general and direct governing equation of the plate by considering the effect of shear deformation. The solution of

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33

Parida, Sarada P., Pankaj C. Jena, and Rati R. Dash. "Dynamics of rectangular laminated composite plates with selective layer-wise fillering rested on elastic foundation using higher-order layer-wise theory." Journal of Vibration and Control, November 23, 2022, 107754632211383. http://dx.doi.org/10.1177/10775463221138353.

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A laminated composite plate designed is supposed to be used under different end supports. The elastic foundation is one of such conditions. The strength of the laminated composite plates can be enhanced by altering constituents or by the addition of filler materials. For localized strengthening of laminated composite plates, such as at particular layers, it is not cost-effective to strengthen the whole structure. So, the laminated composite plates are strengthened at a particular layer by adding the fillering materials, for example, graphene or flyash. The addition of these filler materials in

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