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.
N1 - Funding Information:
Sundararajan Natarajan would like to acknowledge the financial support of the School of Civil and Environmental Engineering, The University of New South Wales for his research fellowship since September 2012. Timon Rabczuk, Stéphane Bordas and Navid Valizadeh would like to acknowledge the financial support of the Framework Programme 7 Initial Training Network Funding under Grant No. 289361 “Integrating Numerical Simulation and Geometric Design Technology”. Stéphane Bordas and Octavio A González Estrada also thank partial funding provided by: (1) the EPSRC under Grant EP/G042705/1 Increased Reliability for Industrially Relevant Automatic Crack Growth Simulation with the eXtended Finite Element Method and (2) the European Research Council Starting Independent Research Grant (ERC Stg Grant Agreement No. 279578) entitled Towards real time multiscale simulation of cutting in non-linear materials with applications to surgical simulation and computer guided surgery”.
PY - 2013/5
Y1 - 2013/5
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
UR - http://www.scopus.com/inward/record.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 -