Analysis of thick functionally graded plates by using higher-order shear and normal deformable plate theory and MLPG method with radial basis functions

2007 ◽  
Vol 80 (4) ◽  
pp. 539-552 ◽  
Author(s):  
D.F. Gilhooley ◽  
R.C. Batra ◽  
J.R. Xiao ◽  
M.A. McCarthy ◽  
J.W. Gillespie
Keyword(s):  
Radial Basis Functions ◽  
Plate Theory ◽  
Higher Order ◽  
Functionally Graded ◽  
Basis Functions ◽  
Functionally Graded Plates ◽  
Mlpg Method ◽  
Radial Basis

Dynamic Analysis of Functionally Graded Plates and Shells by Radial Basis Functions

2010 ◽  
Vol 17 (8) ◽  
pp. 636-652 ◽  
Author(s):  
Carla M. C. Roque ◽  
António J. M. Ferreira ◽  
Ana M. A. Neves ◽  
Greg E. Fasshauer ◽  
Cristóvão M. M. Soares ◽  
...  
Keyword(s):  
Dynamic Analysis ◽  
Radial Basis Functions ◽  
Functionally Graded ◽  
Basis Functions ◽  
Functionally Graded Plates ◽  
Radial Basis ◽  
Plates And Shells

Surrogate based optimization of functionally graded plates using radial basis functions

2020 ◽  
Vol 252 ◽  
pp. 112677
Author(s):  
Leonardo Gonçalves Ribeiro ◽  
Marina Alves Maia ◽  
Evandro Parente Jr. ◽  
Antônio Macário Cartaxo de Melo
Keyword(s):  
Radial Basis Functions ◽  
Functionally Graded ◽  
Basis Functions ◽  
Functionally Graded Plates ◽  
Surrogate Based Optimization ◽  
Radial Basis

Two-dimensional stress analysis of functionally graded solids using the MLPG method with radial basis functions

2008 ◽  
Vol 41 (4) ◽  
pp. 467-481 ◽  
Author(s):  
D.F. Gilhooley ◽  
J.R. Xiao ◽  
R.C. Batra ◽  
M.A. McCarthy ◽  
J.W. Gillespie
Keyword(s):  
Stress Analysis ◽  
Radial Basis Functions ◽  
Functionally Graded ◽  
Basis Functions ◽  
Two Dimensional ◽  
Mlpg Method ◽  
Radial Basis

scholarly journals A Novel Higher-Order Shear and Normal Deformable Plate Theory for the Static, Free Vibration and Buckling Analysis of Functionally Graded Plates

2017 ◽  
Vol 2017 ◽  
pp. 1-20 ◽  
Author(s):  
Shi-Chao Yi ◽  
Lin-Quan Yao ◽  
Bai-Jian Tang
Keyword(s):  
Natural Frequencies ◽  
Plate Theory ◽  
Closed Form Solution ◽  
Higher Order ◽  
Form Solution ◽  
Functionally Graded ◽  
The Novel ◽  
Functionally Graded Plates ◽  
Graded Materials ◽  
Different Shapes

Closed-form solution of a special higher-order shear and normal deformable plate theory is presented for the static situations, natural frequencies, and buckling responses of simple supported functionally graded materials plates (FGMs). Distinguished from the usual theories, the uniqueness is the differentia of the new plate theory. Each individual FGM plate has special characteristics, such as material properties and length-thickness ratio. These distinctive attributes determine a set of orthogonal polynomials, and then the polynomials can form an exclusive plate theory. Thus, the novel plate theory has two merits: one is the orthogonality, where the majority of the coefficients of the equations derived from Hamilton’s principle are zero; the other is the flexibility, where the order of the plate theory can be arbitrarily set. Numerical examples with different shapes of plates are presented and the achieved results are compared with the reference solutions available in the literature. Several aspects of the model involving relevant parameters, length-to-thickness, stiffness ratios, and so forth affected by static and dynamic situations are elaborate analyzed in detail. As a consequence, the applicability and the effectiveness of the present method for accurately computing deflection, stresses, natural frequencies, and buckling response of various FGM plates are demonstrated.

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