Mesh-free radial basis function method for static, free vibration and buckling analysis of shear deformable composite laminates

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

“…It can be seen that the present results are in good agreement with the 3D elasticity solutions [28] and slightly better than FSDT-based RPIM's solutions [29]. It is also observed that the present solution using MISQ24 element is quite insensitive to the variation of modulus ratios.…”

“…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.…”

Isogeometric analysis of laminated composite and sandwich plates using a new inverse trigonometric shear deformation theory

“…Table 19 and Table 20 show the normalized critical buckling loads with respect to various modulus and length-to-thickness ratios. The obtained results are compared with those of the finite element formulation based on FSDT [77], the finite element method based on HSDT [69], the meshfree method based on both FSDT and HSDT [67] and also the IGA based on dTrSDTs [38,7]. The present method shows a very good performance compared to other methods for various modulus ratios and length to thickness ratios.…”

“…The efficiency and accuracy of the present model for various elastic modulus are investigated. For a/h=10 and various elastic modulus E 1 /E 2 ratios, the obtained results are compared to the 3D elasticity solution [66], the radial point interpolation method (RPIM) based on HSDT [67] and FEM solution based on HSDT [68,69] and the IGA based on the dTrSDTs [38,7], as reported in Table 16. It is observed that the IGA based on present theoy is a good competitor with other methods.…”

Free Vibration Study of Anti-Symmetric Angle-Ply Laminated Plates under Clamped Boundary Conditions

“…Liew et al, Rodrigues et al, and Liu et al [9][10][11] show some interest on buckling analysis using radial basis function for laminated plates. The plates is not only analysed under first order shear deformation theory but, Ferreira [12][13][14] and his group produced numerous research on plates using RBF under higher order shear deformation theories since last few years, and Liu et al [15] also investigated laminated composite plates with same method.…”