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Transactions on Engineering Technologies pp 239–254Cite as

Discrete and Continuous Growth of Deformable Cylinder

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Abstract

The finite deformations of the growing cylinder of incompressible elastic material are under consideration. We assume that the deformations are axisymmetric and do not change along the axis of cylinder. The discrete and continuous types of growing are studied. The analytical solutions of the corresponding boundary-value problems are derived. The results of numerical simulation of both discrete and continuous growth are given.

Keywords

  • Additive technologies
  • Continuous growth
  • Discrete growth
  • Finite deformations
  • Growing solids
  • Hyperelasticity

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Acknowledgements

This work was supported by the Russian Science Foundation under Grant 14-19-01280.

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Authors and Affiliations

  1. Institute for Problems in Mechanics, pr-t Vernadskogo 101, str. 1, Moscow, 119526, Russia

    Sergei A. Lychev, Alexander V. Manzhirov & Pavel S. Bychkov

  2. Bauman Moscow State Technical University, ul. Baumanskaya 2-ya, 5/1, Moscow, 105005, Russia

    Alexander V. Manzhirov

Authors
  1. Sergei A. Lychev
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  2. Alexander V. Manzhirov
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  3. Pavel S. Bychkov
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Corresponding author

Correspondence to Sergei A. Lychev .

Editor information

Editors and Affiliations

  1. Multimedia Engineering College of Engioneering, Mokpo National University, Chonnam, Korea, Republic of (South Korea)

    Gi-Chul Yang

  2. IAENG Secretariat, International Association of Engineers, Hong Kong, Hong Kong SAR

    Sio-Iong Ao

  3. Dept of Applied Mathematics & Computing School of Engineering, Cranfield University, Cranfield, Bedfordshire, United Kingdom

    Len Gelman

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Lychev, S.A., Manzhirov, A.V., Bychkov, P.S. (2015). Discrete and Continuous Growth of Deformable Cylinder. In: Yang, GC., Ao, SI., Gelman, L. (eds) Transactions on Engineering Technologies. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-9804-4_17

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  • DOI: https://doi.org/10.1007/978-94-017-9804-4_17

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-017-9803-7

  • Online ISBN: 978-94-017-9804-4

  • eBook Packages: EngineeringEngineering (R0)

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