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

Valizadeh, Navid, Natarajan, Sundararajan, Gonzalez Estrada, Octavio Andres, Rabczuk, Timon, Bui, Tinh Quoc and Bordas, Stephane Pierre Alain ORCID: 2013. NURBS-based finite element analysis of functionally graded plates: Static bending, vibration, buckling and flutter. Composite Structures 99 , pp. 309-326. 10.1016/j.compstruct.2012.11.008

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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.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Engineering
Subjects: T Technology > TA Engineering (General). Civil engineering (General)
Uncontrolled Keywords: Isogeometric analysis; Functionally graded; Reissner Mindlin plate; Gradient index; Shear locking; Finite elements
Publisher: Elsevier
ISSN: 0263-8223
Funders: University of New South Wales, EU FP7, EPSRC, European Research Council (ERC)
Last Modified: 24 Oct 2022 10:49

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