Generalized buckling analysis of laminated plates with random material properties using stochastic finite elements

2006 ◽  
Vol 48 (7) ◽  
pp. 780-798 ◽  
Author(s):  
A.K. Onkar ◽  
C.S. Upadhyay ◽  
D. Yadav
Keyword(s):  
Finite Elements ◽  
Material Properties ◽  
Buckling Analysis ◽  
Laminated Plates ◽  
Stochastic Finite Elements ◽  
Random Material Properties

Stochastic Finite Element Buckling Analysis of Laminated Plates With Circular Cutout Under Uniaxial Compression

2006 ◽  
Vol 74 (4) ◽  
pp. 798-809 ◽  
Author(s):  
A. K. Onkar ◽  
C. S. Upadhyay ◽  
D. Yadav
Keyword(s):  
Material Properties ◽  
Perturbation Technique ◽  
Compressive Loading ◽  
Laminated Composite ◽  
Composite Plates ◽  
Buckling Analysis ◽  
Laminated Plates ◽  
Buckling Strength ◽  
The Mean ◽  
Random Material Properties

A generalized stochastic buckling analysis of laminated composite plates, with and without centrally located circular cutouts having random material properties, is presented under uniaxial compressive loading. In this analysis, the layerwise plate model is used to solve both prebuckling and buckling problems. The stochastic analysis is done based on mean centered first-order perturbation technique. The mean buckling strength of composite plates is validated with results available in the literature. It has been observed that the present analysis can predict buckling load accurately even for plates with large cutouts. Micromechanics based approach is used to study the effect of variation in microlevel constituents on the effective macrolevel properties like elastic moduli. Consequently, the effect of uncertainty in these material properties on the buckling strength of the laminated plates is studied. Parametric studies are carried out to see the effect of hole size, layups, and boundary conditions on the mean and variance of plate buckling strength.

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

Hygrothermal Buckling Response of Laminated Composite Plates with Random Material Properties: Micro-Mechanical Model

2011 ◽  
Vol 110-116 ◽  
pp. 113-119 ◽  
Author(s):  
Rajesh Kumar ◽  
Dharamveer Singh
Keyword(s):  
Material Properties ◽  
Plate Theory ◽  
Perturbation Technique ◽  
Micromechanical Model ◽  
Laminated Composite ◽  
Composite Plates ◽  
Second Order Statistics ◽  
Operational Life ◽  
Safety And Reliability ◽  
Random Material Properties

The aim of this paper is to find out the randomness in the material properties on the buckling of laminated composite plate needed for the economy, safety and reliability of the structures and components in their operational life especially for sensitive Aerospace Engineering applications in hygrothermal environments. Micromechanical model has been taken for the analysis .The used methodology is a C0 finite element method based on higher-order shear deformation plate theory for deriving the standard eigenvalue problem. A Taylor series based mean-centered first order perturbation technique is used to find out the second order statistics of the hygrothermal buckling loads under different sets of environmental conditions..The numerical results for deterministic parameters are compared and validated with available literature and random parameters with independent Monte Carlo Simulation. The result shows that the plate is significantly affected by the hygrothermal buckling load.

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

Intrusive versus Non-Intrusive Methods for Stochastic Finite Elements

2007 ◽  
pp. 161-174 ◽  
Author(s):  
M. Herzog ◽  
A. Gilg ◽  
M. Paffrath ◽  
P. Rentrop ◽  
U. Wever
Keyword(s):  
Finite Elements ◽  
Stochastic Finite Elements
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