Analysis of Functionally Graded Plates by a Robust Meshless Method

By A. J. Ferreira, C. Roque, R. N. Jorge, Gregory E. Fasshauer, Romesh C. Batra. 2007

104 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/6409bb16a38cb784ef8db92e9253e6719a3a3cc4

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In Mechanics of Materials

Citations in the corpus

A local radial basis functions—Finite differences technique for the analysis of composite plates (2011, methodology): “Previously the authors successfully applied this meshless global collocation method to analyse plates and shells [12–23].”
A nth-order shear deformation theory for the bending analysis on the functionally graded plates (2013, result): “3558 Kashtalyan (2004) 1.”
A critical review of recent research on functionally graded plates (2013, methodology): “[71,72] have investigated the static deformations of simply supported FG plates using TSDT and a meshless method considering the collocation multi-quadric radial basis functions (RBFs).”
Stress, vibration and buckling analyses of FGM plates—A state-of-the-art review (2015, methodology): “[160] optimized the shape parameter for the same formulation using the cross-validation technique suggested by Rippa [161].”
Static, free vibration and buckling analysis of isotropic and sandwich functionally graded plates using a quasi-3D higher-order shear deformation theory and a meshless technique (2013, unknown): “[21,22], Chi and Chung [23,24], and Cheng and Batra [25].”
Buckling analysis of sandwich plates with functionally graded skins using a new quasi‐3D hyperbolic sine shear deformation theory and collocation with radial basis functions (2012, methodology): “Readers should consult [16] for details on the optimization method.”
On choosing “optimal” shape parameters for RBF approximation (2007, methodology): “An LOOCV algorithm for finding an “optimal” shape parameter similar to the one described in this paper was used with Kansa’s method in [13].”
Static, free vibration and buckling analysis of isotropic and sandwich functionally graded plates using a quasi-3D higher-order shear deformation theory and a meshless technique (2013, background): “[21,22], Chi and Chung [23,24], and Cheng and Batra [25].”
Four-parameter functionally graded cracked plates of arbitrary shape: A GDQFEM solution for free vibrations (2016, methodology): “[9] studied FGM plates via a meshless method, and Lü et al.”