Bending and buckling of thick symmetric rectangular laminates using the moving least-squares differential quadrature method

Buckling and vibration analysis of laminated composite plate/shell structures via a smoothed quadrilateral flat shell element with in-plane rotations

“…Table 7 reports the present critical biaxial buckling loads together with the FSDT solutions in References [38,39] and HSDT solutions in References [29,38]. Once again, the MISQ24 element exhibits a good agreement with other numerical results cited here.…”

Free vibrations and buckling analysis of laminated plates by oscillatory radial basis functions

“…It is found that the critical buckling load is obtained with a few grid points. The present results are in excellent correlation with those of Khdeir and Librescu [12], and those of Liew et al [16]. Both linear Laguerre-Gaussian and Gaussian functions present excellent convergence properties.…”

“…Table 2 lists the uni-axial buckling loads of the fourlayer simply supported laminated plate discretized with a regular grid. Exact solutions by Khdeir and Librescu [12] and differential quadrature results by Liew et al [16] based on the FSDT are also presented for comparison. It is found that the critical buckling load is obtained with a few grid points.…”

“…Some relevant works on vibration and buckling of thick plates include those of Wang et al [31], Khdeir and Librescu [12], Bhimaraddi [1], Kitipornchai et al [14], Liew et al [16,17,19], and Reddy et al [25,28]. An historical review on laminated plates and shells has been presented by Carrera [2].…”

The reproducing kernel particle method for two-dimensional unsteady heat conduction problems

“…Some meshless methods have been developed, such as the smooth particle hydrodynamics method (SPH) [5], the radial basis function (RBF) [6], the element-free Galerkin method (EFG) [7], the reproducing kernel particle method (RKPM) [8], the meshless local Petrov-Galerkin method (MLPG) [9], the radial point interpolation method [10][11][12], the complex variable meshless method [13], the boundary element-free method [14][15][16][17], the moving least-squares differential quadrature meshfree method [18][19][20] and the kp-Ritz method [21][22][23].…”