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Free vibration and buckling analysis of higher order laminated composite plates using the isogeometric approach

Peković O., Stupar S., Simonović A., Svorcan J., Trivković S.

Journal of Theoretical and Applied Mechanics

2015

Vol. 53 nr 2

453--466

This research paper presents a higher order isogeometric laminated composite plate finite element formulation. The isogeometric formulation is based on NURBS (non-uniform rational B-splines) basis functions of varying degree. Plate kinematics is based on the third order shear deformation theory (TSDT) of Reddy in order to avoid shear locking. Free vibration and the buckling response of laminated composite plates are obtained and efficiency of the method is considered. Numerical results with different element order are presented and the obtained results are compared to analytical and conventional numerical results as well as existing isogeometric plate finite elements.

Finite element stress analysis of laminated composite plates

Singh P., Singh R.

International Journal of Applied Mechanics and Engineering

2011

Vol. 16, no 3

851-867

In the present work, a finite element program based on the classical lamination theory improved by Vinson's weighting function to include transverse shear effects is developed for the analysis of laminated composite plates. The finite element analysis of a clamped three layered square symmetric laminate under uniform loading is carried out using 8-noded isoparametric elements having five degrees of freedom at each node. The effect of plate side-to-thickness ratio (a/h) 4, 10, 50 and 100 100 is studied on the maximum values of the non-dimensionalized central deflection (w), non-dimensionalized stress resultants [...] and non-dimensionalized stresses [...]. The variation of non-dimensionalized normal stresses [...] and shear stresses [...] through the thickness (z/h) of the laminate at plate side-to-thickness ratio (a/h) 10 is also studied.