Reference : Size-dependent free flexural vibration behavior of functionally graded nanoplates
Scientific journals : Article
Engineering, computing & technology : Mechanical engineering
Computational Sciences
http://hdl.handle.net/10993/12114
Size-dependent free flexural vibration behavior of functionally graded nanoplates
English
Natarajan, S. [Department of Aerospace Engineering, Indian Institute of Science, Bangalore, India]
Chakraborty, S. [Department of Aerospace Engineering, Indian Institute of Science, Bangalore, India]
Thangavel, M. [Department of Aerospace Engineering, Indian Institute of Science, Bangalore, India]
Bordas, Stéphane mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
Rabczuk, T. [Institute of Structural Mechancis, Bauhaus University, Weimar, Germany]
2012
Computational Materials Science
65
74-80
Yes (verified by ORBilu)
International
09270256
[en] Eringen's gradient elasticity ; Finite element ; Functionally graded ; Internal length ; Mori-Tanaka ; NURBS ; Partition of unity ; Finite Element ; Gradient elasticity ; Aspect ratio ; Elasticity ; Finite element method ; Interpolation ; Nanostructures
[en] In this paper, size dependent linear free flexural vibration behavior of functionally graded (FG) nanoplates are investigated using the iso-geometric based finite element method. The field variables are approximated by non-uniform rational B-splines. The nonlocal constitutive relation is based on Eringen's differential form of nonlocal elasticity theory. The material properties are assumed to vary only in the thickness direction and the effective properties for the FG plate are computed using Mori-Tanaka homogenization scheme. The accuracy of the present formulation is demonstrated considering the problems for which solutions are available. A detailed numerical study is carried out to examine the effect of material gradient index, the characteristic internal length, the plate thickness, the plate aspect ratio and the boundary conditions on the global response of the FG nanoplate. From the detailed numerical study it is seen that the fundamental frequency decreases with increasing gradient index and characteristic internal length. © 2012 Elsevier B.V. All rights reserved.
Researchers ; Professionals ; Students
http://hdl.handle.net/10993/12114
10.1016/j.commatsci.2012.06.031

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