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Size-dependent free flexural vibration behavior of functionally graded nanoplates

Natarajan, S and Chakraborty, S and Thangavel, M and Bordas, S and Rabczuk, T (2012) Size-dependent free flexural vibration behavior of functionally graded nanoplates. In: COMPUTATIONAL MATERIALS SCIENCE, 65 . pp. 74-80.

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Official URL: http://dx.doi.org/10.1016/j.commatsci.2012.06.031

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. (c) 2012 Elsevier B.V. All rights reserved.

Item Type: Journal Article
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Additional Information: Copyright for this article belongs to ELSEVIER SCIENCE BV, NETHERLANDS
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering (Formerly, Aeronautical Engineering)
Date Deposited: 28 Dec 2012 06:57
Last Modified: 28 Dec 2012 06:57
URI: http://eprints.iisc.ernet.in/id/eprint/45459

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