Nonlinear analysis of stability for functionally graded plates under mechanical and thermal loads

被引:78
作者
Hoang Van Tung [1 ]
Nguyen Dinh Duc [2 ]
机构
[1] Hanoi Architectural Univ, Fac Civil Engn, Hanoi, Vietnam
[2] Vietnam Natl Univ, Coll Technol, Hanoi, Vietnam
关键词
Nonlinear analysis; Functionally graded materials; Postbuckling; Imperfection; FGM PLATES; POSTBUCKLING BEHAVIOR; IMPERFECTIONS;
D O I
10.1016/j.compstruct.2009.10.015
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
This paper presents a simple analytical approach to investigate the stability of functionally graded plates under in-plane compressive, thermal and combined loads. Material properties are assumed to be temperature-independent, and graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of constituents. Equilibrium and compatibility equations for functionally graded plates are derived by using the classical plate theory taking into account both geometrical non-linearity in von Karman sense and initial geometrical imperfection. The resulting equations are solved by Galerkin procedure to obtain explicit expressions of postbuckling load-deflection curves. Stability analysis of a simply supported rectangular functionally graded plate shows the effects of the volume fraction index, plate geometry, in-plane boundary conditions, and imperfection on postbuckling behavior of the plate. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1184 / 1191
页数:8
相关论文
共 27 条
[1]   NONLINEAR VIBRATIONS OF HEATED ANTISYMMETRIC ANGLE-PLY LAMINATED PLATES [J].
BHIMARADDI, A ;
CHANDRASHEKHARA, K .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1993, 30 (09) :1255-1268
[2]  
Brush D.O., 1975, Buckling of Bars, Plates and Shells, DOI DOI 10.1115/1.3423755
[3]   Non-linear analysis of dynamic stability for functionally graded cylindrical shells under periodic axial loading [J].
Darabi, M. ;
Darvizeh, M. ;
Darvizeh, A. .
COMPOSITE STRUCTURES, 2008, 83 (02) :201-211
[4]  
Javaheri R, 2002, Z ANGEW MATH MECH, V82, P277, DOI 10.1002/1521-4001(200204)82:4<277::AID-ZAMM277>3.0.CO
[5]  
2-Y
[6]   Thermal buckling of functionally graded plates based on higher order theory [J].
Javaheri, R ;
Eslami, MR .
JOURNAL OF THERMAL STRESSES, 2002, 25 (07) :603-625
[7]   Thermal buckling of functionally graded plates [J].
Javaheri, R ;
Eslami, MR .
AIAA JOURNAL, 2002, 40 (01) :162-169
[8]   Thermal buckling of a simply supported moderately thick rectangular FGM plate [J].
Lanhe, W .
COMPOSITE STRUCTURES, 2004, 64 (02) :211-218
[9]  
LANHE W, 2005, COMPOS STRUCT, V70, P60
[10]   IMPERFECTION SENSITIVITY AND POSTBUCKLING BEHAVIOR OF SHEAR-DEFORMABLE COMPOSITE DOUBLY-CURVED SHALLOW PANELS [J].
LIBRESCU, L ;
CHANG, MY .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1992, 29 (09) :1065-1083