Finite elastic torsional instability of incompressible thermo-hyperelastic cylinder

Torsional instability of an incompressible thermo-hyperelastic cylindrical rod, subjected to axial stretching and large torsions, is examined within the framework of finite elasticity. When the cylinder is stretched and twisted by a sufficiently large degree, a knot may form suddenly at one point. T...

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Bibliographic Details
Published in:Acta mechanica Sinica 2006-04, Vol.22 (2), p.156-161
Main Authors: Ren, Jiusheng, Cheng, Changjun
Format: Article
Language:English
Subjects:
Cylinders
Elastic analysis
Elastic instability
Potential energy
Stability analysis
Temperature effects
不可压缩热超弹性材料
弹性力学
扭转不稳定性
有限弹性
温度效应
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Summary:Torsional instability of an incompressible thermo-hyperelastic cylindrical rod, subjected to axial stretching and large torsions, is examined within the framework of finite elasticity. When the cylinder is stretched and twisted by a sufficiently large degree, a knot may form suddenly at one point. This inherent elastic instability is analyzed with the minimum potential energy principle and the critical values of torsion are obtained. The distribution of stresses as well as the tensile force and the torque are studied. Effect of tem- perature change is specifically discussed.
ISSN:0567-7718
1614-3116
DOI:10.1007/s10409-006-0104-8