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Size-dependent free flexural vibration behavior of functionally graded nanoplates

Natarajan, S., Chakraborty, S., Thangavel, M., Bordas, Stephane Pierre Alain and Rabczuk, T. 2012. Size-dependent free flexural vibration behavior of functionally graded nanoplates. Computational Materials Science 65 , pp. 74-80. 10.1016/j.commatsci.2012.06.031

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Abstract

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.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Advanced Research Computing @ Cardiff (ARCCA)
Engineering
Subjects: T Technology > TA Engineering (General). Civil engineering (General)
T Technology > TJ Mechanical engineering and machinery
Uncontrolled Keywords: Functionally graded; Mori–Tanaka; Eringen’s gradient elasticity; Partition of unity; Finite element; NURBS; Internal length
Publisher: Elsevier
ISSN: 0927-0256
Last Modified: 04 Jun 2017 04:29
URI: http://orca.cf.ac.uk/id/eprint/40054

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