First-order shear deformation plate models for functionally graded materials

被引：194

作者：

Nguyen, Trung-Kien ^{[1
]}

Sab, Karam ^{[1
]}

Bonnet, Guy ^{[2
]}

机构：

[1] Ecole Natl Ponts & Chaussees, Inst Navier, LAMI, LCPC, F-77455 Marne La Vallee, France

[2] Univ Marne La Vallee, Lab Mecan, Inst Navier, F-77454 Marne La Vallee, France

来源：

COMPOSITE STRUCTURES | 2008年 / 83卷 / 01期

关键词：

functionally graded material; first-order shear deformation plate theory; shear correction factor;

D O I：

10.1016/j.compstruct.2007.03.004

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

In this paper, first-order shear deformation plate models for modelling structures made of functionally graded materials are proposed. Identification of transverse shear factors is investigated through these models by energy equivalence. The transverse shear stresses are derived from the expression of membrane stresses and equilibrium equations. Using the obtained transverse shear factor, a numerical analysis is performed on the examples of a simply supported square plate and of a cylindrical bending sandwich plate clamped at both ends. The material properties are assumed to be isotropic at each point and vary through the thickness according to a power law distribution. The numerical results of the static analysis are compared to available solutions from previous studies. (c) 2007 Elsevier Ltd. All rights reserved.

引用

页码：25 / 36

页数：12

共 42 条

[1]

BERTHELOT JM, 1992, MATERIAUX COMPOSITE

[2] A new model for thick laminates [J].

Caron, JF ;

Sab, K .

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE II FASCICULE B-MECANIQUE, 2001, 329 (08) :595-600

[3] A new beam finite element for the analysis of functionally graded materials [J].

Chakraborty, A ;

Gopalakrishnan, S ;

Reddy, JN .

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 2003, 45 (03) :519-539

[4] Three-dimensional thermoelastic deformations of a functionally graded elliptic plate [J].

Cheng, ZQ ;

Batra, RC .

COMPOSITES PART B-ENGINEERING, 2000, 31 (02) :97-106

[5] Exact correspondence between eigenvalues of membranes and functionally graded simply supported polygonal plates [J].

Cheng, ZQ ;

Batra, RC .

JOURNAL OF SOUND AND VIBRATION, 2000, 229 (04) :879-895

[6] Mechanical behavior of functionally graded material plates under transverse load - Part I: Analysis [J].

Chi, Shyang-Ho ;

Chung, Yen-Ling .

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2006, 43 (13) :3657-3674

[7] Mechanical behavior of functionally graded material plates under transverse load - Part II: Numerical results [J].

Chi, Shyang-Ho ;

Chung, Yen-Ling .

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2006, 43 (13) :3675-3691

[8] Finite elements for functionally graded Reissner-Mindlin plates [J].

Della Croce, L ;

Venini, P .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2004, 193 (9-11) :705-725

[9] Three-dimensional analysis of an all-round clamped plate made of functionally graded materials [J].

Elishakoff, I ;

Gentilini, C ;

Viola, E .

ACTA MECHANICA, 2005, 180 (1-4) :21-36

[10] Micromechanical modelling of functionally graded materials [J].

Gasik, MM .

COMPUTATIONAL MATERIALS SCIENCE, 1998, 13 (1-3) :42-55

← 1 2 3 4 5 →