Analysis of composite plates using higher-order shear deformation theory and a finite point formulation based on the multiquadric radial basis function method

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

“…For a comparison, the normalized displacement and stresses of a four layer simply supported square plate are computed using 17 × 17 B-spline elements. The obtained results of the IGA based on the present theory are compared with those of the several other methods based on other higher-order shear deformation theories such as the closed form solution (CSF) based on the HSDT by Reddy M A N U S C R I P T A C C E P T E D ACCEPTED MANUSCRIPT [6], the finite strip method (FSM) based on HSDT by Akhras et al [48], the multiquadric radial basis function method (RBFs) based on a finite point formulation and HSDT by Ferreira et al [49], the closed form solution based on a trigonometric shear deformation theory (TrSDT) by Mantari et al [50], the closed form solution based on an exponential shear deformation theory (ESDT) by Karama et al [51], the IGA based on the dTrSDTs [38,39,7] and an exact 3D elasticity approach studied by Pagano [47]. Table 3 is provided the comparison between the present method and other methods.…”

Dynamic response of functionally graded skew shell panel

“…The mode shapes of first four frequencies for different power law exponent n = 0.0, 0.2, 2.0, 10.0 and 1000 (very high value), with geometric properties a/R=0.1 and a/h=10 are investigated. The source papers considered for comparison purposes are: Neves et al [14], who adopted higher order shear deformation theory in conjunction with Carrera's unified formulation [28][29][30] and collocation radial basis techniques [31][32][33][34]; Pradyumna and Bandyobadyay [17], who presented free vibration solution using higher order shear deformation theory [25] combined with finite element formulation; and Yang and Shen [15], who carried out the vibration analysis using higher order shear deformation theory [27] and semi analytical approach. It may be concluded that the present results exhibit close range with the above cited reference data for the maximum number of cases.…”

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

“…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. Meanwhile, Sanyasiraju [16], also used this technique to solve some problems Spline is another type of approximation involves scattered data interpolation, where it used widely in numerical analysation.…”