Second-order effects and Saint Venant’s principle in the torsion problem of a nonlinear elastic rod

被引:0
作者
V. V. Kalashnikov
M. I. Karyakin
机构
[1] Rostov State University,
来源
Journal of Applied Mechanics and Technical Physics | 2006年 / 47卷
关键词
Pointing effect; semi-inverse method; second-order effects; Saint Venant’s principle;
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学科分类号
摘要
The torsion problem of a circular nonlinear elastic rod loaded by end moments is considered. The solution constructed by the method of successive approximations taking into account second-order effects is compared with the solution obtained by a semi-inverse method. It is shown that the dead-loading assumption breaks the symmetry of the Cauchy stress tensor in a certain region. A refined formulation of Saint Venant’s principle is proposed for the problem of determining integral strain characteristics.
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页码:879 / 885
页数:6
相关论文
共 2 条
[1]  
Gavrilyachenko T. V.(2000)Specific features of the nonlinearly elastic behavior of cylindrical compressible bodies in torsion J. Appl. Mech. Tech. Phys. 41 377-381
[2]  
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