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Mullins effect on incompressible hyperelastic cylindrical tube in finite torsion

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Abstract

The isotropic softening effect in non-homogeneous deformation resulting from combined effect of torsion, extension and inflation of cylindrical rubber tube is discussed. The effects of deformation induced anisotropy, permanent set and hysteresis are neglected. A general neo-Hookean parent material model is illustrated and subsequently the stress-softening effect on the same hyperelastic material is analyzed. Simple torsion of cylindrical tube with neo-Hookean material model is analyzed and the results obtained are shown in various plots. Analytical results are compared with the experimental results of Rivlin and Saunders. Universal relations are also established for incompressible, isotropic, hyperelastic material for non-homogeneous deformation with isotropic damage function in both virgin and stress-softened cases.

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Acknowledgements

We thankfully acknowledge the research grant SR/FTP/ETA-69/2010 under SERC Fast track scheme funded by Department of science and technology (DST), Government of India.

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  1. Department of Mechanical Engineering, Indian Institute of Technology, Patna, 800013, India

    Firozut Tauheed & Somnath Sarangi

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  1. Firozut Tauheed
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  2. Somnath Sarangi
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Correspondence to Firozut Tauheed.

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Tauheed, F., Sarangi, S. Mullins effect on incompressible hyperelastic cylindrical tube in finite torsion. Int J Mech Mater Des 8, 393–402 (2012). https://doi.org/10.1007/s10999-012-9203-9

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