Elastic-plastic buckling analysis of rectangular plates subjected to biaxial loads

2000 ◽  
Vol 65 (9) ◽  
pp. 273-278 ◽  
Author(s):  
J. Betten ◽  
C. H. Shin
Keyword(s):  
Buckling Analysis ◽  
Rectangular Plates ◽  
Plastic Buckling ◽  
Elastic Plastic ◽  
Biaxial Loads

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.

Nonlinear elastic/plastic buckling analysis of thick/thin skew plates under uniaxial and biaxial loading

2014 ◽  
Vol 229 (16) ◽  
pp. 2854-2867 ◽  
Author(s):  
Mahdi Maarefdoust ◽  
Mehran Kadkhodayan
Keyword(s):  
Boundary Conditions ◽  
Buckling Analysis ◽  
Differential Quadrature ◽  
Thickness Ratio ◽  
Published Data ◽  
Plastic Behavior ◽  
Skew Angle ◽  
Plastic Buckling ◽  
Elastic Plastic ◽  
Generalized Differential

In this study, elastic/plastic buckling analysis of thick skew plates subjected to uniaxial compression or biaxial compression/tension loading using the generalized differential quadrature method is presented for the first time. The governing differential equations are derived based on the incremental and deformation theories of plasticity and first-order shear deformation theory. The elastic/plastic behavior of the plates is described by the Ramberg–Osgood model. Generalized differential quadrature discretization rules in association with an exact coordinate transformation are simultaneously used to transform and discretize the equilibrium equations and the related boundary conditions. The results are compared with the previously published data to verify the established methodology and procedures. The effect of skew angle and thickness ratio on the convergence and accuracy of the method are studied. Moreover, the effects of aspect, loading and thickness ratios, skew angle, incremental, and deformation theories and different types of boundary conditions on the buckling coefficients are presented in detail. The results show that the difference between the incremental and deformation theories becomes greater with increasing thickness ratio and constraints at boundary conditions. Furthermore, the skew angle also has an important effect on differences between those theories.

Elastic-Plastic Dynamic Buckling Analysis of Reticular Domes Subjected to Earthquake Motion

1997 ◽  
Vol 12 (3-4) ◽  
pp. 205-215 ◽  
Author(s):  
Koichiro Ishikawa ◽  
Shiro Kato
Keyword(s):  
Dynamic Characteristics ◽  
Analytical Method ◽  
Buckling Analysis ◽  
Dynamic Buckling ◽  
Plastic Buckling ◽  
Static And Dynamic Characteristics ◽  
Elastic Plastic ◽  
Earthquake Motion

Static and Dynamic characteristics of shell-like structures such as reticular domes vary depending on their configuration. There is, however, very little information available concerning dynamic buckling collapse or dynamic buckling analysis. This paper presents a method for dynamic buckling analysis with emphasis on dynamic buckling behaviour subjected to vertical earthquake motion. The study focuses on the elastic-plastic buckling of the members of a large dome as well as on the global shell-like buckling of the dome. Through the analyses, the efficiency of the proposed analytical method is discussed while a method for estimating collapse accelerations is proposed.

Sign in / Sign up

Export Citation Format

Share Document