Elasticity solution for a cantilever beam with exponentially varying properties

被引：7

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

页码：354 / 361

页数：8

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