Some analytical solutions for Saint-Venant torsion of non-homogeneous cylindrical bars

被引:46
作者
Ecsedi, Istvan [1 ]
机构
[1] Univ Miskolc, Dept Mech, H-3515 Miskolc, Hungary
基金
新加坡国家研究基金会;
关键词
Saint-Venant torsion; Non-homogeneous; Elastic; Prandtl's stress function;
D O I
10.1016/j.euromechsol.2009.03.010
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The Saint-Venant torsion problem of linearly elastic cylindrical bars with solid and hollow cross-section is treated. The shear modulus of the non-homogeneous bar is a given function of the Prandtl's stress function of considered cylindrical bar when its material is homogeneous. The solution of the torsional problem of non-homogeneous bar is expressed in terms of the torsional and Prandtl's stress functions of homogeneous bar having the same cross-section as the non-homogeneous bar. (C) 2009 Elsevier Masson SAS. All rights reserved.
引用
收藏
页码:985 / 990
页数:6
相关论文
共 20 条
[1]   Torsion of functionally graded hollow tubes [J].
Arghavan, S. ;
Hematiyan, M. R. .
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS, 2009, 28 (03) :551-559
[2]  
Bandle C., 1980, Monographs and Studies in Mathematics, V7
[3]   Torsion of a functionally graded cylinder [J].
Batra, R. C. .
AIAA JOURNAL, 2006, 44 (06) :1363-1365
[4]  
Carslaw H.S., 1986, Conduction of Heat in Solids
[5]  
ECSEDI L, 2005, ENG T, V53, P415
[6]  
ECSEDI L, 1981, THESIS U MISKOLC HUN
[7]   Simple torsion of isotropic, hyperelastic, incompressible materials with limiting chain extensibility [J].
Horgan, CO ;
Saccomandi, G .
JOURNAL OF ELASTICITY, 1999, 56 (02) :159-170
[8]   On the torsion of functionally graded anisotropic linearly elastic bars [J].
Horgan, Cornelius O. .
IMA JOURNAL OF APPLIED MATHEMATICS, 2007, 72 (05) :556-562
[9]  
Kolchin C., 1971, COMPUTATIONS ELASTIC
[10]  
Kollbrunner C.F., 1969, TORSION STRUCTURES E