A formulation of the multiquadric radial basis function method for the analysis of laminated composite plates

By A. J. Ferreira. 2003

265 citations recorded by the source corpus.

Subfields: Atomic and Molecular Physics, and Optics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/e43fe56b88a58a57e90b7d098d9624aefeb226b0

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In Atomic and Molecular Physics, and Optics

In Mechanics of Materials

Citations in the corpus

Composite laminated plate analysis using the natural radial element method (2013, methodology): “Several meshless methods were applied with strong form solutions in solid mechanics [4,5], however the present work aims to apply the meshless formulation to the weak form solution since it is more flexible and wide.”
Static deformations and vibration analysis of composite and sandwich plates using a layerwise theory and multiquadrics discretizations (2005, methodology): “[49–51] and by Ferreira [52–54] for composite laminated plates and beams using the first-order and the third-order shear deformation theory.”
Analysis of laminated shells by a sinusoidal shear deformation theory and radial basis functions collocation, accounting for through-the-thickness deformations (2011, unknown): “The authors have recently applied the RBF collocation to the static deformations of composite beams and plates [42–44].”
Isogeometric analysis of laminated composite and sandwich plates using a layerwise deformation theory (2013, unknown): “8775 MRBF-FSDT[53] 8.”
A wavelet collocation method for the static analysis of sandwich plates using a layerwise theory (2010, methodology): “The work of one of the authors in laminated shell finite elements [26] and multiquadrics [8] using a first order shear deformation approach is also compared.”
Static deformations and vibration analysis of composite and sandwich plates using a layerwise theory and RBF-PS discretizations with optimal shape parameter (2008, methodology): “However, this was achieved by a shear correction procedure [35] that is dependent on some assumptions that may not be general, although quite good for all the tested cases so far.”
A local radial basis functions—Finite differences technique for the analysis of composite plates (2011, methodology): “[41], and an analytical solution by Srinivas et al.”
Radial basis functions collocation and a unified formulation for bending, vibration and buckling analysis of laminated plates, according to a variation of Murakami’s zig-zag theory (2011, unknown): “The authors have recently applied the RBF collocation to the static deformations of composite beams and plates (Ferreira, 2003a, 2003b; Ferreira et al., 2003).”