Elasticity solution for a cantilever beam with exponentially varying properties

被引：8
作者：
Benguediab, S. [1 ]
Tounsi, A. [1 ,2 ]
Abdelaziz, H. H. [1 ,3 ]
Meziane, M. A. A. [3 ]
机构：
[1] Univ Djillali Liabes Sidi Bel Abbes, Fac Technol, Civil Engn Dept, Mat & Hydrol Lab, Sidi Bel Abbes, Algeria
[2] Algerian Natl Themat Agcy Res Sci & Technol ATRST, El Harrach, Alger, Algeria
[3] Univ Ibn Khaldoun, Tiaret 14000, Algeria
来源：
JOURNAL OF APPLIED MECHANICS AND TECHNICAL PHYSICS | 2017年 / 58卷 / 02期
关键词：
plane stress problem; stress function; exponential functionally graded material; analytical solution; FREE-VIBRATION ANALYSIS; HIGHER-ORDER SHEAR; FUNCTIONALLY GRADED PLATES; NEUTRAL SURFACE POSITION; DEFORMATION-THEORY; PIEZOELECTRIC CANTILEVER; WAVE-PROPAGATION; BENDING ANALYSIS; REFINED THEORY; FGM PLATES;
D O I：
10.1134/S0021894417020213
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
An analytical solution of a plane stress problem for a cantilever beam made of a functionally graded material subjected to uniform loading is constructed. The material is assumed to be isotropic with constant Poisson's ratio and exponentially varying Young's modulus through the beam thickness. Expressions for displacements, strains, and stresses are obtained.
引用
收藏
页码：354 / 361
页数：8
相关论文
共 33 条
[1]   An efficient and simple higher order shear and normal deformation theory for functionally graded material (FGM) plates [J].
Belabed, Zakaria ;
Houari, Mohammed Sid Ahmed ;
Tounsi, Abdelouahed ;
Mahmoud, S. R. ;
Beg, O. Anwar .
COMPOSITES PART B-ENGINEERING, 2014, 60 :274-283
[2]   A theoretical analysis of flexional bending of Al/Al2O3 S-FGM thick beams [J].
Ben-Oumrane, Sallai ;
Abedlouahed, Tounsi ;
Ismail, Mechab ;
Mohamed, Bachir Bouiadjra ;
Mustapha, Meradjah ;
El Abbas, Adda Bedia .
COMPUTATIONAL MATERIALS SCIENCE, 2009, 44 (04) :1344-1350
[3]  
Bouderba B, 2013, STEEL COMPOS STRUCT, V14, P85
[4]   A new simple shear and normal deformations theory for functionally graded beams [J].
Bourada, Mohamed ;
Kaci, Abdelhakim ;
Houari, Mohammed Sid Ahmed ;
Tounsi, Abdelouahed .
STEEL AND COMPOSITE STRUCTURES, 2015, 18 (02) :409-423
[5]   A new first shear deformation beam theory based on neutral surface position for functionally graded beams [J].
Bouremana, Mohammed ;
Houari, Mohammed Sid Ahmed ;
Tounsi, Abdelouahed ;
Kaci, Abdelhakim ;
Bedia, El Abbas Adda .
STEEL AND COMPOSITE STRUCTURES, 2013, 15 (05) :467-479
[6]   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
[7]   A spectrally formulated finite element for wave propagation analysis in functionally graded beams [J].
Chakraborty, A ;
Gopalakrishnan, S .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2003, 40 (10) :2421-2448
[8]   THE CRACK PROBLEM FOR A NON-HOMOGENEOUS PLANE [J].
DELALE, F ;
ERDOGAN, F .
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1983, 50 (03) :609-614
[9]   Elasticity solutions for plane anisotropic functionally graded beams [J].
Ding, H. J. ;
Huang, D. J. ;
Chen, W. Q. .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2007, 44 (01) :176-196
[10]   A new five-unknown refined theory based on neutral surface position for bending analysis of exponential graded plates [J].
Fekrar, Abdelkader ;
Houari, Mohammed Sid Ahmed ;
Tounsi, Abdelouahed ;
Mahmoud, S. R. .
MECCANICA, 2014, 49 (04) :795-810
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