Free vibration analysis of functionally graded plates using the element-free kp-Ritz method

By X. Zhao, Yiu-yin Lee, Kim-Meow Liew. 2009

438 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Materials Chemistry, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/b526383c03a931c8b3664c034abe13f33b4f3ed5

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In Civil and Structural Engineering

In Materials Chemistry

In Mechanics of Materials

Citations in the corpus

Free vibration of functionally graded rectangular plates using first-order shear deformation plate theory (2010, methodology): “6277 FSDT [13] 5.”
Exact elasticity solution for natural frequencies of functionally graded simply-supported structures (2013, methodology): “The firstorder shear deformation plate theory that uses the element-free kp-Ritz method was presented in Zhao et al. (2009) for the free vibration analysis of metal and ceramic functionally graded plates.”
Analysis of functionally graded plates using an edge-based smoothed finite element method (2011, methodology): “mesh-free methods have already been developed for analyzing FGM plates [25–30] and specially, a survey on the developments of meshless methods for laminated and functionally graded plates and shells has been very recently reviewed in [31].”
A new simple three-unknown sinusoidal shear deformation theory for functionally graded plates (2016, background): “The first order shear deformation theory (FSDT) (Bellifa et al. 2016, Yaghoobi and Yaghoobi 2013, Zhao et al. 2009) accounts for the shear deformation effect by the way of linear variation of in-plane displacements through the thickness.”
An efficient shear deformation theory for vibration of functionally graded plates (2013, background): “Although the FSDT gives acceptable results for moderately thick plate [7–10], it is not convenient to use due to the difficulty in determination of the correct value of the shear correction factor.”
A quasi-3D hyperbolic shear deformation theory for functionally graded plates (2014, background): “Since the shear deformation effects are more pronounced in advanced composites like FGMs, shear deformation theories such as first-order shear deformation theory (FSDT) and higher-order shear deformation theories (HSDTs) should be used.”
Thermal analysis of FGM plates – A critical review of various modeling techniques and solution methods (2017, background): “[189], in which the influence of parametric variations were discussed.”