Static analysis of functionally graded sandwich plates according to a hyperbolic theory considering Zig-Zag and warping effects

被引：124

作者：

Neves, A. M. A. ^{[1
]}

Ferreira, A. J. M. ^{[1
]}

Carrera, E. ^{[2
]}

Cinefra, M. ^{[2
]}

Jorge, R. M. N. ^{[1
]}

Soares, C. M. M. ^{[3
]}

机构：

[1] Univ Porto, Fac Engn, Dept Engn Mecan, P-4200465 Oporto, Portugal

[2] Politecn Torino, Dept Aeronaut & Aerosp Engn, I-10129 Turin, Italy

[3] Inst Super Tecn, Lisbon, Portugal

来源：

ADVANCES IN ENGINEERING SOFTWARE | 2012年 / 52卷

关键词：

Sandwich plates; Plates; Functionally graded materials; Meshless methods; Higher-order theories; Composites; FREE-VIBRATION ANALYSIS; SHEAR DEFORMATION-THEORY; BUCKLING ANALYSIS; COMPOSITE PLATES; FORMULATION; THICK; STRESS;

D O I：

10.1016/j.advengsoft.2012.05.005

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, a variation of Murakami's Zig-Zag theory is proposed for the analysis of functionally graded plates. The new theory includes a hyperbolic sine term for the in-plane displacements expansion and accounts for through-the-thickness deformation, by considering a quadratic evolution of the transverse displacement with the thickness coordinate. The governing equations and the boundary conditions are obtained by a generalization of Carrera's Unified Formulation, and further interpolated by collocation with radial basis functions. Numerical examples on the static analysis of functionally graded sandwich plates demonstrate the accuracy of the present approach. The thickness stretching effect on such problems is studied. (c) 2012 Elsevier Ltd. All rights reserved.

引用

页码：30 / 43

页数：14

共 55 条

[1] Theories for laminated and sandwich plates. A review [J].

Altenbach, H .

MECHANICS OF COMPOSITE MATERIALS, 1998, 34 (03) :243-252

[2] A NEW APPROACH TO THE APPLICATION OF MORI-TANAKA THEORY IN COMPOSITE-MATERIALS [J].

BENVENISTE, Y .

MECHANICS OF MATERIALS, 1987, 6 (02) :147-157

[3] Advanced mixed theories for bending analysis of functionally graded plates [J].

Brischetto, S. ;

Carrera, E. .

COMPUTERS & STRUCTURES, 2010, 88 (23-24) :1474-1483

[4] Improved bending analysis of sandwich plates using a zig-zag function [J].

Brischetto, S. ;

Carrera, E. ;

Demasi, L. .

COMPOSITE STRUCTURES, 2009, 89 (03) :408-415

[5] CLASSICAL AND MIXED ADVANCED MODELS FOR SANDWICH PLATES EMBEDDING FUNCTIONALLY GRADED CORES [J].

Brischetto, Salvatore .

JOURNAL OF MECHANICS OF MATERIALS AND STRUCTURES, 2009, 4 (01) :13-33

[6] ASSESSMENT OF COMPUTATIONAL MODELS FOR SANDWICH PANELS AND SHELLS [J].

BURTON, WS ;

NOOR, AK .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1995, 124 (1-2) :125-151

[7] Variable kinematic model for the analysis of functionally graded material plates [J].

Carrera, E. ;

Brischetto, S. ;

Robaldo, A. .

AIAA JOURNAL, 2008, 46 (01) :194-203

[8] Evaluation of layerwise mixed theories for laminated plates analysis [J].

Carrera, E .

AIAA JOURNAL, 1998, 36 (05) :830-839

[9] Theories and finite elements for multilayered plates and shells: A unified compact formulation with numerical assessment and benchmarking [J].

Carrera, E .

ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING, 2003, 10 (03) :215-296

[10]

Carrera E., 2003, Applied Mechanics Review, V56, P287, DOI 10.1115/1.1557614

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