The Effects of Aspect Ratio on Postbuckling Behavior of Rectangular Plates of Functionally Graded Materials

2010 ◽  
Author(s):  
H. Assaee ◽  
H.R. Ovesy ◽  
M. Hajikazemi ◽  
M.H. Sadr Lahidjani
Keyword(s):  
Aspect Ratio ◽  
Functionally Graded Materials ◽  
Functionally Graded ◽  
Rectangular Plates ◽  
Postbuckling Behavior ◽  
Graded Materials

Three-Dimensional Flexure of Rectangular Plates Made of Functionally Graded Materials

2005 ◽  
Vol 72 (5) ◽  
pp. 788-791 ◽  
Author(s):  
Isaac Elishakoff ◽  
Cristina Gentilini
Keyword(s):  
Functionally Graded Materials ◽  
Power Law ◽  
Minimum Energy ◽  
Three Dimensional ◽  
Functionally Graded ◽  
Rectangular Plates ◽  
Power Law Distribution ◽  
Dimensional Solution ◽  
Energy Principle ◽  
Graded Materials

A three-dimensional solution for the problem of transversely loaded, all-round clamped rectangular plates of arbitrary thickness is presented within the linear, small deformation theory of elasticity. The Ritz minimum energy principle is employed to derive the governing equation of the plate made of functionally graded materials. In theory, if we employ an infinite number of terms in the displacement series, the exact solution can be determined. However, a practical limit always exists due to numerical implementation. The solution has a validity comparable to some higher order theories. A power-law distribution for the mechanical characteristics is adopted to model the continuous variation of properties from those of one component to those of the other. The displacements and stresses of the plate for different values of the power-law exponent are investigated.

Superposition Buckling Analysis of Rectangular Plates Composed of Functionally Graded Materials Subjected to Non-Uniform Distributed In-Plane Loading

2010 ◽  
Vol 224 (11) ◽  
pp. 2299-2307 ◽  
Author(s):  
M M Najafizadeh ◽  
M Mahdavian ◽  
P Khazaeinejad
Keyword(s):  
Finite Element Method ◽  
Functionally Graded Materials ◽  
Functionally Graded ◽  
Rectangular Plates ◽  
Graded Materials ◽  
Buckling Loads ◽  
Mechanical Buckling ◽  
Plane Compression ◽  
Finite Element Method Solution ◽  
Power Law Index

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 results are achieved for a sample of FGM as well as the research on the effect of power law index on buckling loads.

Dynamic Analysis with Stress Recovery for Functionally Graded Materials: Numerical Simulation and Experimental Benchmarking

2014 ◽  
Vol 2 (1) ◽  
pp. 21
Author(s):  
Carlos Alberto Dutra Fraga Filho ◽  
Fernando César Meira Menandro ◽  
Rivânia Hermógenes Paulino de Romero ◽  
Juan Sérgio Romero Saenz
Keyword(s):  
Numerical Simulation ◽  
Dynamic Analysis ◽  
Functionally Graded Materials ◽  
Functionally Graded ◽  
Stress Recovery ◽  
Graded Materials
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