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

Navid Valizadeh, Sundararajan Natarajan, Octavio A. Gonzalez-Estrada, Timon Rabczuk, Tinh Quoc Bui, Stéphane P A Bordas

Research output: Contribution to journalArticle

179 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)309-326
Number of pages18
JournalComposite Structures
Volume99
DOIs
Publication statusPublished - 2013 May 1
Externally publishedYes

Fingerprint

Functionally graded materials
Buckling
Finite element method
Splines
Shear deformation
Aspect ratio
Materials properties
Kinematics

Keywords

  • Finite elements
  • Functionally graded
  • Gradient index
  • Isogeometric analysis
  • Reissner Mindlin plate
  • Shear locking

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Ceramics and Composites

Cite this

Valizadeh, N., Natarajan, S., Gonzalez-Estrada, O. A., Rabczuk, T., Bui, T. Q., & Bordas, S. P. A. (2013). NURBS-based finite element analysis of functionally graded plates: Static bending, vibration, buckling and flutter. Composite Structures, 99, 309-326. https://doi.org/10.1016/j.compstruct.2012.11.008

NURBS-based finite element analysis of functionally graded plates : Static bending, vibration, buckling and flutter. / Valizadeh, Navid; Natarajan, Sundararajan; Gonzalez-Estrada, Octavio A.; Rabczuk, Timon; Bui, Tinh Quoc; Bordas, Stéphane P A.

In: Composite Structures, Vol. 99, 01.05.2013, p. 309-326.

Research output: Contribution to journalArticle

Valizadeh, Navid ; Natarajan, Sundararajan ; Gonzalez-Estrada, Octavio A. ; Rabczuk, Timon ; Bui, Tinh Quoc ; Bordas, Stéphane P A. / NURBS-based finite element analysis of functionally graded plates : Static bending, vibration, buckling and flutter. In: Composite Structures. 2013 ; Vol. 99. pp. 309-326.
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