The Hydromagnetic of an Incompressible Cylinder.

1958 ◽  
Vol 128 ◽  
pp. 375 ◽  
Author(s):  
René Simon
Keyword(s):  
Incompressible Cylinder

Symmetric Deformations of Viscoelastic-Plastic Cylinders

1966 ◽  
Vol 33 (2) ◽  
pp. 327-334 ◽  
Author(s):  
M. J. Crochet
Keyword(s):  
General Solution ◽  
Circular Cylinder ◽  
Internal Pressure ◽  
Plane Strain ◽  
Constitutive Equations ◽  
Plastic State ◽  
Plastic Cylinder ◽  
Loading And Unloading ◽  
Special Case ◽  
Incompressible Cylinder

This paper, in the main, contains a general solution for a viscoelastic-plastic hollow circular cylinder under internal pressure and in the state of plane strain. The medium is assumed to be isotropic and homogeneous, and the constitutive equations used are a special case of those given in [1]. Solutions for both loading and unloading from a viscoelastic-plastic state are considered, and numerical results are obtained for the specific case of an incompressible cylinder under a step pressure. Also discussed briefly is the torsion of a viscoelastic-plastic cylinder, the solution of which is again illustrated by a numerical example.

Evaluating the response of a modified Gent-Thomas strain energy function having limiting chain extensibility condition in torsion and azimuthal shear

2021 ◽  
pp. 096739112110033
Author(s):  
Amir Ghafouri Sayyad ◽  
Ali Imam ◽  
Shahram Etemadi Haghighi
Keyword(s):  
Strain Energy ◽  
Angular Displacement ◽  
Strain Energy Function ◽  
The Other ◽  
Thomas Model ◽  
Torsional Response ◽  
Energy Models ◽  
Azimuthal Shear ◽  
Limiting Chain Extensibility ◽  
Incompressible Cylinder

The purpose of this paper is to investigate the torsion and azimuthal shear of an incompressible hyperelastic cylinder having a modified Gent-Thomas strain energy with limiting chain extensibility condition. First, the torsional response of the modified Gent-Thomas model is obtained analytically and compared with those of Gent-Gent, Gent-Thomas, and Carroll strain energy models where the former model incorporates the limiting chain extensibility condition while the latter two are phenomenological models. The results show the modified Gent-Thomas model to be in better agreement with the experimental data of Rivlin and Saunders on torsion than the other three models. To further evaluate the response of the modified Gent-Thomas model, azimuthal shear deformation of an incompressible hyperelastic cylinder with the modified Gent-Thomas, Gent-Thomas, Gent-Gent, and Carroll strain energies is considered, where the angular displacement in azimuthal shear is determined analytically for the first three models and numerically for the fourth model. It is shown that the strain hardening effect, predicted either by the limiting chain extensibility condition for the modified Gent-Thomas and Gent-Gent models or phenomenologically by the Carroll model, is quite significant in the azimuthal shear response of the incompressible cylinder.

Effect of initial strains on the propagation of waves in an incompressible cylinder located in an ideal fluid

1994 ◽  
Vol 30 (8) ◽  
pp. 582-585 ◽  
Author(s):  
A. M. Bagno ◽  
A. N. Guz' ◽  
V. I. Efremov
Keyword(s):  
Ideal Fluid ◽  
Propagation Of Waves ◽  
Initial Strains ◽  
Incompressible Cylinder

Instability of incompressible cylinder rubber tubes under radial electric fields

2010 ◽  
Vol 32 (2) ◽  
pp. 183-190 ◽  
Author(s):  
R. Dıaz-Calleja ◽  
M. J. Sanchis ◽  
E. Riande
Keyword(s):  
Electric Fields ◽  
Incompressible Cylinder
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