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 language | English |
|---|---|
| Pages (from-to) | 309-326 |
| Number of pages | 18 |
| Journal | Composite Structures |
| Volume | 99 |
| DOIs | |
| Publication status | Published - 2013 May 1 |
| Externally published | Yes |
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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
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 journal › Article
}
TY - JOUR
T1 - NURBS-based finite element analysis of functionally graded plates
T2 - Static bending, vibration, buckling and flutter
AU - Valizadeh, Navid
AU - Natarajan, Sundararajan
AU - Gonzalez-Estrada, Octavio A.
AU - Rabczuk, Timon
AU - Bui, Tinh Quoc
AU - Bordas, Stéphane P A
PY - 2013/5/1
Y1 - 2013/5/1
N2 - 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.
AB - 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.
KW - Finite elements
KW - Functionally graded
KW - Gradient index
KW - Isogeometric analysis
KW - Reissner Mindlin plate
KW - Shear locking
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UR - http://www.scopus.com/inward/citedby.url?scp=84874322567&partnerID=8YFLogxK
U2 - 10.1016/j.compstruct.2012.11.008
DO - 10.1016/j.compstruct.2012.11.008
M3 - Article
AN - SCOPUS:84874322567
VL - 99
SP - 309
EP - 326
JO - Composite Structures
JF - Composite Structures
SN - 0263-8223
ER -