Size-dependent free flexural vibration behavior of functionally graded nanoplates

被引：238

作者：

Natarajan, S. ^{[1
]}

Chakraborty, S. ^{[1
]}

Thangavel, M. ^{[1
]}

Bordas, S. ^{[2
]}

Rabczuk, T. ^{[3
]}

机构：

[1] Indian Inst Sci, Dept Aerosp Engn, Bangalore 560012, Karnataka, India

[2] Cardiff Univ, Inst Mech & Adv Mat, Cardiff, S Glam, Wales

[3] Bauhaus Univ Weimar, Inst Struct Mech, D-99423 Weimar, Germany

来源：

COMPUTATIONAL MATERIALS SCIENCE | 2012年 / 65卷

关键词：

Functionally graded; Mori-Tanaka; Eringen's gradient elasticity; Partition of unity; Finite element; NURBS; Internal length; NONLOCAL ELASTICITY; AXIAL VIBRATION; ISOGEOMETRIC ANALYSIS; GRADIENT ELASTICITY; GRAPHENE SHEETS; PLATE; DEFORMATIONS; DISPERSION; NANOBEAMS; MODELS;

D O I：

10.1016/j.commatsci.2012.06.031

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

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.

引用

页码：74 / 80

页数：7

共 37 条

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