Free Vibration and Buckling Analysis of Higher Order Laminated Composite Plates Using the Isogeometric Approach

Abstract

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.

NURBS-based thermo-elastic analyses of laminated and sandwich composite plates

“…IGA has been applied to structural mechanics problem not only for the geometrical accuracy it provides but also for the high quality of stress fields resulting from the use of higher continuous basis function. Recently, several research papers have appeared that used the isogeometric approach for the composite plate and shell analysis [18][19][20], linear and non-linear elasticity and plasticity problem [21][22][23] and thermal buckling analysis [24]. The modelling using NURBS provides advantageous properties for structural vibrations problems [25][26][27], which offers more robust and accurate frequency spectra than those of typical higher-order FE p-methods.…”

Crack analysis in bimaterial interfaces using T-spline based XIGA

“…The basic idea of this novel alternative method, called isogeometric analysis (IGA), is to exploit the technologies of computational geometry as shape bases to describe the geometry exactly, also for the approximation of unknown fields. Following this discovery, several researches in various fields have been conducted by this method, including: fluid-structure interaction (Bazilevs et al, 2006), composite materials (Peković et al, 2015), elastic-plastic analysis (Kalali et al, 2016), electromagnetic problems (Buffa et al, 2010), turbulent flow (Bazilevs and Akkerman, 2010), contact problems (Temizer et al, 2011), aero-dynamics , heat transfer (Anders et al, 2012) and fluid mechanics (Evan and Hudhes, 2013). For more details about IGA, a recent review has been published, see Nguyen et al (2015).…”