A quasi-3D hyperbolic shear deformation theory for the static and free vibration analysis of functionally graded plates

被引：280

作者：

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

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

Carrera, E. ^{[3
]}

Cinefra, M. ^{[3
]}

Roque, C. M. C. ^{[2
]}

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

Soares, C. M. M. ^{[4
]}

机构：

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

[2] Univ Porto, Fac Engn, INEGI, P-4200465 Oporto, Portugal

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

[4] Univ Tecn Lisboa, Inst Super Tecn, P-1049001 Lisbon, Portugal

来源：

COMPOSITE STRUCTURES | 2012年 / 94卷 / 05期

关键词：

Functionally graded materials; Meshless methods; Plates and shells; HIGHER-ORDER SHEAR; LAMINATED COMPOSITE PLATES; NATURAL FREQUENCIES; MULTIQUADRICS; FORMULATION; STRESS; BEAMS;

D O I：

10.1016/j.compstruct.2011.12.005

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

This paper presents an original hyperbolic sine shear deformation theory for the bending and free vibration analysis of functionally graded plates. The theory accounts for through-the-thickness deformations. Equations of motion and boundary conditions are obtained using Carrera's Unified Formulation and further interpolated by collocation with radial basis functions. The efficiency of the present approach combining the new theory with this meshless technique is demonstrated in several numerical examples, for the static and free vibration analysis of functionally graded plates. Excellent agreement for simply-supported plates with other literature results has been found. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：1814 / 1825

页数：12

共 32 条

[1] Buckling and free vibration analyses of laminated composite plates by using two new hyperbolic shear-deformation theories [J].

Akavci, S. S. ;

Tanrikulu, A. H. .

MECHANICS OF COMPOSITE MATERIALS, 2008, 44 (02) :145-154

[2] Two new hyperbolic shear displacement models for orthotropic laminated composite plates [J].

Akavci, S. S. .

MECHANICS OF COMPOSITE MATERIALS, 2010, 46 (02) :215-226

[3] Natural frequencies of a functionally graded anisotropic rectangular plate [J].

Batra, RC ;

Jin, J .

JOURNAL OF SOUND AND VIBRATION, 2005, 282 (1-2) :509-516

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

BENVENISTE, Y .

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

[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] 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

[7]

Carrera E, 1996, INT J NUMER METH ENG, V39, P1797, DOI 10.1002/(SICI)1097-0207(19960615)39:11<1797::AID-NME928>3.0.CO

[8]

2-W

[9] Effects of thickness stretching in functionally graded plates and shells [J].

Carrera, E. ;

Brischetto, S. ;

Cinefra, M. ;

Soave, M. .

COMPOSITES PART B-ENGINEERING, 2011, 42 (02) :123-133

[10]

Carrera E., 2001, Applied Mechanics Reviews, V54, P301, DOI DOI 10.1115/1.1385512

← 1 2 3 4 →