NDLI: NURBS-based finite element analysis of functionally graded plates: static bending, vibration, buckling and flutter

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NURBS-based finite element analysis of functionally graded plates: static bending, vibration, buckling and flutter

Content Provider	Semantic Scholar
Author	Valizadeha, Navid Natarajanb, Sundararajan Gonzalez-Estradac, Octavio A. Rabczuka, Timon Buid, Tinh Quoc Bordasc, Stéphane Pa
Copyright Year	2012
Abstract	In this paper, a non-uniform rational B-spline based iso-geometric finite element method is used to study the static and dynamic characteristics of functionally graded material (FGM) plates. The material properties are assumed to be graded only in the thickness direction and the effective properties are computed either using the rule of mixtures or by Mori-Tanaka homogenization scheme. The plate kinematics is based on the first order shear deformation plate theory (FSDT). The shear correction factors are evaluated employing the energy equivalence principle and a simple modification to the shear correction factor is presented to alleviate shear locking. Static bending, mechanical and thermal buckling, linear free flexural vibration and supersonic flutter analysis of FGM plates are numerically studied. The accuracy of the present formulation is validated against available three-dimensional solutions. A detailed numerical study is carried out to examine the influence of the gradient index, the plate aspect ratio and the plate thickness on the global response of functionally graded material plates. ∗Corresponding author 1 navid.valizadeh@uni-weimar.de 2 sundararajan.natarajan@gmail.com 3 agestrada@gmail.com 4 timon.rabczuk@uni-weimar.de 5 bui-quoc@bauwesen.uni-siegen.de 6 stephane.bordas@alum.northwestern.edu Preprint submitted to Elsevier November 1, 2012
File Format	PDF HTM / HTML
Alternate Webpage(s)	http://orbilu.uni.lu/bitstream/10993/13772/1/2012_NurbsPlate_rev.pdf
Language	English
Access Restriction	Open
Content Type	Text
Resource Type	Article

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