Explicit local buckling analysis of rotationally restrained composite plates under uniaxial compression

2008 ◽  
Vol 30 (1) ◽  
pp. 126-140 ◽  
Author(s):  
Luyang Shan ◽  
Pizhong Qiao
Keyword(s):  
Uniaxial Compression ◽  
Local Buckling ◽  
Composite Plates ◽  
Buckling Analysis

EXPLICIT LOCAL BUCKLING ANALYSIS OF ROTATIONALLY- AND VERTICALLY-RESTRAINED ORTHOTROPIC PLATES UNDER UNIAXIAL COMPRESSION

2012 ◽  
Vol 12 (05) ◽  
pp. 1250038 ◽  
Author(s):  
XUPING HUO ◽  
PIZHONG QIAO
Keyword(s):  
Boundary Conditions ◽  
Uniaxial Compression ◽  
Numerical Solutions ◽  
Local Buckling ◽  
Potential Energy Function ◽  
Buckling Analysis ◽  
Rectangular Plates ◽  
Orthotropic Plates ◽  
Uniform Compression ◽  
Laminated Structures

In this paper, explicit local buckling analysis of orthotropic plates subjected to uniaxial compression with two loaded edges simply-supported and two unloaded edges supported by combined vertical and rotational restraining springs is presented. Based on the total potential energy function, the eigenvalue problem is formulated by treating the buckled shape functions as the admissible functions that satisfy the boundary conditions of the rectangular plates. Closed-form and approximate local buckling solutions of the combined rotationally- and vertically-restrained orthotropic plates, as well as explicit formulas for the critical buckling load and critical aspect ratio under the uniform compression, are obtained. By adjusting the stiffness of the rotational and vertical restraining springs, explicit local buckling solutions are established for eight simple cases of boundary conditions. To verify the explicit solutions, numerical analyses of orthotropic plates using the exact transcendental and finite element methods are conducted, for which reasonable agreement has been obtained between the explicit and numerical solutions, particularly for the simplified cases. The explicit solution obtained in this study can be used to facilitate the buckling analysis of composite laminated structures with different boundary conditions or joint connections as parts of stiffened and thin-walled structures by treating them as discrete plates with restrained boundary conditions.

scholarly journals Buckling Analysis of Laminated Composite Plate on Tensionless Elastic Foundations Under Uniaxial Compression

2018 ◽  
Vol 18 (06) ◽  
pp. 1850079 ◽  
Author(s):  
Jianghui Dong ◽  
Xing Ma ◽  
Yan Zhuge ◽  
Julie E. Mills
Keyword(s):  
Uniaxial Compression ◽  
Composite Plate ◽  
Local Buckling ◽  
Laminated Composite ◽  
Composite Plates ◽  
Winkler Foundation ◽  
Laminated Composite Plate ◽  
Buckling Behavior ◽  
Lateral Boundary Conditions ◽  
Buckling Coefficient

This paper addresses the compressive local buckling behavior of an infinitely long laminated composite plate resting on a tensionless elastic foundation (Winkler foundation). The analytical solution to the contact buckling coefficient of a laminated composite plate is derived using a one-dimensional analytical method. Numerical examples are considered to investigate the influence of the ply angle and foundation stiffness on the contact buckling coefficients of laminated composite plates under uniaxial compression. The lateral boundary conditions including clamped and simply-supported edges are treated. Finally, finite element (FE) analysis is conducted to provide an independent check on the analytical solutions.

Thermal Post-Buckling Analysis of Functionally Graded Composite Plates with Nonlinear Aerodynamic Forces

2010 ◽  
Vol 123-125 ◽  
pp. 280-283
Author(s):  
Chang Yull Lee ◽  
Ji Hwan Kim
Keyword(s):  
Material Properties ◽  
Numerical Solutions ◽  
Virtual Work ◽  
Shear Deformation Theory ◽  
Composite Plates ◽  
Buckling Analysis ◽  
Functionally Graded ◽  
Governing Equations ◽  
Functionally Graded Composite ◽  
Post Buckling

The post-buckling of the functionally graded composite plate under thermal environment with aerodynamic loading is studied. The structural model has three layers with ceramic, FGM and metal, respectively. The outer layers of the sandwich plate are different homogeneous and isotropic material properties for ceramic and metal. Whereas the core is FGM layer, material properties vary continuously from one interface to the other in the thickness direction according to a simple power law distribution in terms of the volume fractions. Governing equations are derived by using the principle of virtual work and numerical solutions are solved through a finite element method. The first-order shear deformation theory and von-Karman strain-displacement relations are based to derive governing equations of the plate. Aerodynamic effects are dealt by adopting nonlinear third-order piston theory for structural and aerodynamic nonlinearity. The Newton-Raphson iterative method applied for solving the nonlinear equations of the thermal post-buckling analysis

Local Buckling Analysis of Longitudinal Reinforcing Bars

2012 ◽  
Vol 138 (1) ◽  
pp. 62-71 ◽  
Author(s):  
Christopher R. Urmson ◽  
John B. Mander
Keyword(s):  
Local Buckling ◽  
Buckling Analysis ◽  
Reinforcing Bars
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