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Cylindrical membrane partially dressed on a rigid body of revolution

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Abstract

In this work, we consider a frictional contact between a thin-walled hyperelastic tube and a rigid body. One edge of the tube is partially worn on the body of revolution. The friction in the contact area obeys Coulomb law. An axial force is applied to the other end of the tube. In this paper, we analyze the relationship between the minimum contact length, the axial force and other parameters of the problem.

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Acknowledgements

The authors thank Alexey Gil for discussing some of the mathematical aspects of the problem.

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Authors and Affiliations

  1. Southern Federal University, Rostov-na-Don, Russian Federation

    Alexey M. Kolesnikov & Nataliya Yu. Shubchinskaya

  2. Don State Technical University, Rostov-na-Don, Russian Federation

    Alexey M. Kolesnikov & Nataliya Yu. Shubchinskaya

Authors
  1. Alexey M. Kolesnikov
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  2. Nataliya Yu. Shubchinskaya
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Corresponding author

Correspondence to Alexey M. Kolesnikov.

Additional information

Communicated by Marcus Aßmus, Victor A. Eremeyev and Andreas Öchsner.

Dedicated to Prof. Holm Altenbach on the occasion of his 65th birthday

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This research was supported by the Government of Russian Federation Grant No. 14.Z50.31.0046.

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Kolesnikov, A.M., Shubchinskaya, N.Y. Cylindrical membrane partially dressed on a rigid body of revolution. Continuum Mech. Thermodyn. 33, 1331–1346 (2021). https://doi.org/10.1007/s00161-021-00974-9

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  • DOI: https://doi.org/10.1007/s00161-021-00974-9

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