Exact solutions of heterogeneous elastic hollow cylinders

被引：94

作者：

Shi Zhifei ^{[1
]}

Zhang Taotao ^{[1
]}

Xiang Hongjun ^{[1
]}

机构：

[1] Jiao Tong Univ, Sch Civil Engn, Beijing 100044, Peoples R China

来源：

COMPOSITE STRUCTURES | 2007年 / 79卷 / 01期

基金：

中国国家自然科学基金;

关键词：

functionally graded material; FGM; multi-layer cylinder; heterogeneous; inclusion;

D O I：

10.1016/j.compstruct.2005.11.058

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Two different kinds of heterogeneous elastic hollow cylinders are studied herein. One is a cylinder with multi-layers and another is a cylinder with continuously graded properties. A simple and convenient method is obtained to find the exact solutions of a N-layered elastic hollow cylinder submitted to uniform pressures on the inner and outer surfaces. For the hollow cylinder with continuously graded properties, the displacement method is used. A hyper-geometric equation is derived and solved, and then the exact solutions are found. The results obtained in the present paper are compared with both the numerical solutions and other findings provided by some references and good agreements are found. At the end of the present paper, some inherent properties of these two different kinds of heterogeneous graded hollow cylinders are presented and discussed. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：140 / 147

页数：8

共 16 条

[1] Dense layered molybdenum disilicide-silicon carbide functionally graded composites formed by field-activated synthesis [J].

Carrillo-Heian, EM ;

Carpenter, RD ;

Paulino, GH ;

Gibeling, JC ;

Munir, ZA .

JOURNAL OF THE AMERICAN CERAMIC SOCIETY, 2001, 84 (05) :962-968

[2] Green's function for a two-dimensional exponentially graded elastic medium [J].

Chan, YS ;

Gray, LJ ;

Kaplan, T ;

Paulino, GH .

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2004, 460 (2046) :1689-1706

[3] A revisit of a cylindrically anisotropic tube subjected to pressuring, shearing, torsion, extension and a uniform temperature change [J].

Chen, TY ;

Chung, CT ;

Lin, WL .

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2000, 37 (37) :5143-5159

[4]

CHRISTENSEN RM, 1979, J MECH PHYS SOLIDS, V27, P315, DOI 10.1016/0022-5096(79)90032-2

[5]

Hashin Z., 1964, J. Appl. Mech, V31, P223, DOI [DOI 10.1115/1.3629590AMREAD0003-6900, 10.1115/1.3629590, DOI 10.1115/1.3629590]

[6] ELASTIC BEHAVIOR OF MULTIPLY COATED FIBER-REINFORCED COMPOSITES [J].

HERVE, E ;

ZAOUI, A .

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1995, 33 (10) :1419-1433

[7]

Kanaun S. K., 1989, Applied Mathematics and Mechanics, V53, P628, DOI 10.1016/0021-8928(89)90112-3

[8] General solution of a density functionally gradient piezoelectric cantilever and its applications [J].

Shi, ZF .

SMART MATERIALS AND STRUCTURES, 2002, 11 (01) :122-129

[9] Functionally graded piezoelectric cantilever beam under load [J].

Shi, ZF ;

Chen, Y .

ARCHIVE OF APPLIED MECHANICS, 2004, 74 (3-4) :237-247

[10]

SUTCU M, 1992, INT J SOLIDS STRUCT, V29, P197

← 1 2 →