Moving least squares differential quadrature method and its application to the analysis of shear deformable plates

By Kim-Meow Liew, Y. Q. Huang, J. Reddy. 2003

99 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/8560cb4588689c7785aba5d1518dfaacf5ea7b03

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In Civil and Structural Engineering

In Mechanics of Materials

Citations in the corpus

Analyzing three-dimensional potential problems with the improved element-free Galerkin method (2009, methodology): “... (EFG) method [3], the Hp clouds method [4], the harmonic reproducing kernel particle method [5], the meshless local Petrov–Galerkin method [6], the multi-scale reproducing kernel particle method [7–9], the wavelet particle method [10], the radial point interpolation method [11–13], the complex v”
A moving Kriging interpolation‐based meshless method for numerical simulation of Kirchhoff plate problems (2009, methodology): “[18, 19] in the last few years well employed the general-shaped thin plates according to classical plate theory as well as the case of shear deformable thick plates using FSDT.”
FGM and Laminated Doubly-Curved and Degenerate Shells Resting on Nonlinear Elastic Foundations: A GDQ Solution for Static Analysis with a Posteriori Stress and Strain Recovery (2013, unknown): “3 σ ε ε γ σ 1 11 1 12 2 16 12 2 ijm m ijm m ijm m ijm ijm Q Q Q ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) = + + =Q Q Q Q m ijm m ijm m ijm ijm m 12 1 22 2 26 12 12 16 ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) + + = ε ε γ τ ε ε γ 1 26 2 66 12 ijm m ijm m ijm Q Q ( ) ( ) ( ) ( ) ( ) + + (51)”
Boundary element‐free method (BEFM) and its application to two‐dimensional elasticity problems (2006, methodology): “The following weight functions [4] are used in this paper: Exponential:”
An efficient meshfree method for vibration analysis of laminated composite plates (2011, background): “[59] proposed the Hp-clouds, Liew et al. [ 60 ,61] presented a meshfree moving least-squares differential quadrature (MLSDQ), Liu and his co-workers analyzed Krichhoff thin platesbyaglobalcompatible C n (�) triangularelement hier-”
A meshfree Hermite‐type radial point interpolation method for Kirchhoff plate problems (2006, methodology): “This transformation, even can be found, results in a significant reduction of efficiency and simplicity [20].”