Hencky bar-grid model and Hencky bar-net model for buckling analysis of rectangular plates

2022 ◽  
pp. 75-107
Author(s):  
Y.P. Zhang ◽  
C.M. Wang ◽  
D.M. Pedroso ◽  
H. Zhang
Keyword(s):  
Buckling Analysis ◽  
Rectangular Plates ◽  
Grid Model

Asymptotic post-buckling analysis of rectangular plates by HC finite elements

1995 ◽  
Vol 38 (14) ◽  
pp. 2325-2345 ◽  
Author(s):  
Antonio D. Lanzo ◽  
Giovanni Garcea ◽  
Raffaele Casciaro
Keyword(s):  
Finite Elements ◽  
Buckling Analysis ◽  
Rectangular Plates ◽  
Post Buckling

Levy Solution for Buckling Analysis of Functionally Graded Rectangular Plates

2009 ◽  
Vol 17 (2) ◽  
pp. 81-93 ◽  
Author(s):  
Meisam Mohammadi ◽  
Ali Reza Saidi ◽  
Emad Jomehzadeh
Keyword(s):  
Buckling Analysis ◽  
Functionally Graded ◽  
Rectangular Plates

The Plastic Buckling of Axially Compressed Square Tubes

1992 ◽  
Vol 59 (2) ◽  
pp. 276-282 ◽  
Author(s):  
S. Li ◽  
S. R. Reid
Keyword(s):  
Deformation Theory ◽  
Buckling Analysis ◽  
Rectangular Plates ◽  
Plastic Buckling ◽  
Buckling Mode ◽  
Important Conclusion ◽  
Simply Supported ◽  
Edge Conditions ◽  
Crushing Behavior ◽  
Incremental Theory Of Plasticity

A plastic buckling analysis for axially compressed square tubes is described in this paper. Deformation theory is used together with the realistic edge conditions for the panels of the tube introduced in our previous paper (Li and Reid, 1990), referred to hereafter as LR. The results obtained further our understanding of a number of problems related to the plastic buckling of axially compressed square tubes and simply supported rectangular plates, which have remained unsolved hitherto and seem rather puzzling. One of these is the discrepancy between experimental results and the results of plastic buckling analysis performed using the incremental theory of plasticity and the unexpected agreement between the results of calculations based on deformation theory for plates and experimental data obtained from tests conducted on tubes. The non-negligible difference between plates and tubes obtained in the present paper suggests that new experiments should be carried out to provide a more accurate assessment of the predictions of the two theories. Discussion of the results herein also advances our understanding of the compact crushing behavior of square tubes beyond that given in LR. An important conclusion reached is that strain hardening cannot be neglected for the plastic buckling analysis of square tubes even if the degree of hardening is small since doing so leads to an unrealistic buckling mode.

Three-Dimensional Buckling Analysis of Rectangular Plates with In-Plane Compressive Loads

2010 ◽  
Author(s):  
Qian Li ◽  
Vai Pan Iu ◽  
Jane W. Z. Lu ◽  
Andrew Y. T. Leung ◽  
Vai Pan Iu ◽  
...  
Keyword(s):  
Three Dimensional ◽  
Buckling Analysis ◽  
Rectangular Plates ◽  
Compressive Loads

On the Buckling of Isotropic, Transversely Isotropic and Laminated Composite Rectangular Plates

2014 ◽  
Vol 14 (07) ◽  
pp. 1450020 ◽  
Author(s):  
Atteshamuddin S. Sayyad ◽  
Yuwaraj M. Ghugal
Keyword(s):  
Boundary Conditions ◽  
Elasticity Theory ◽  
Shear Deformation ◽  
Deformation Theory ◽  
Shear Deformation Theory ◽  
Laminated Composite ◽  
Transversely Isotropic ◽  
Buckling Analysis ◽  
Transverse Shear Strain ◽  
Rectangular Plates

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-ply laminated composite rectangular plates subjected to uniaxial and biaxial compressions are presented. The effects of variations in the degree of orthotropy of the individual layers, side-to-thickness ratio and aspect ratio of the plate are examined on the buckling characteristics of composite plates. The present results are compared with those of the classical plate theory (CPT), first order shear deformation theory (FSDT) and exact three-dimensional (3D) elasticity theory wherever applicable. Good agreement is achieved of the present results with those of higher order shear deformation theory (HSDT) and elasticity theory.

scholarly journals Comparative thermal buckling analysis of functionally graded plate

2017 ◽  
Vol 21 (6 Part B) ◽  
pp. 2957-2969
Author(s):  
Dragan Cukanovic ◽  
Gordana Bogdanovic ◽  
Aleksandar Radakovic ◽  
Dragan Milosavljevic ◽  
Ljiljana Veljovic ◽  
...  
Keyword(s):  
Shear Deformation Theory ◽  
Thermal Buckling ◽  
Buckling Analysis ◽  
Functionally Graded ◽  
Rectangular Plates ◽  
Shape Functions ◽  
Power Law Distribution ◽  
Functionally Graded Plate ◽  
Different Types ◽  
Non Linear

A thermal buckling analysis of functionally graded thick rectangular plates accord?ing to von Karman non-linear theory is presented. The material properties of the functionally graded plate, except for the Poisson?s ratio, were assumed to be graded in the thickness direction, according to a power-law distribution, in terms of the volume fractions of the metal and ceramic constituents. Formulations of equilibrium and stability equations are derived using the high order shear deformation theory based on different types of shape functions. Analytical method for determination of the critical buckling temperature for uniform increase of temperature, linear and non-linear change of temperature across thickness of a plate is developed. Numeri?cal results were obtained in ?ATLAB software using combinations of symbolic and numeric values. The paper presents comparative results of critical buckling tempera?ture for different types of shape functions. The accuracy of the formulation presented is verified by comparing to results available from the literature.

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