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A general kinematically admissible velocity field for axisymmetric forging and its application to hollow disk forging

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Abstract

An approach for selecting general kinematically admissible velocity fields for axisymmetric forging problems is outlined. The approach accounts for the existence of a rigid zone at frictional interfaces and for the singular behavior of real velocity fields in the vicinity of maximum friction surfaces. The plastic work rate for a material obeying the von Mises yield criterion and its associated flow rule is expressed in terms of one arbitrary function of a single argument, its derivative, and anti-derivative. An upper bound solution for constrained forging is given. Comparison with an available upper bound solution is made and it is shown that the new kinematically admissible velocity field results in a more accurate solution at high friction. Other problems that can be treated are briefly discussed.

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Authors and Affiliations

  1. Institute for Problems in Mechanics, Russian Academy of Sciences, 101-1 Prospect Vernadskogo, 119526, Moscow, Russia

    Sergei Alexandrov & Elena Lyamina

  2. Department of Mechanical Engineering and Advanced Institute of Manufacturing with High-tech Innovations, National Chung Cheng University, 62102, Chia-Yi, Taiwan

    Yeau-Ren Jeng

Authors
  1. Sergei Alexandrov
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  2. Elena Lyamina
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  3. Yeau-Ren Jeng
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Correspondence to Sergei Alexandrov or Yeau-Ren Jeng.

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Alexandrov, S., Lyamina, E. & Jeng, YR. A general kinematically admissible velocity field for axisymmetric forging and its application to hollow disk forging. Int J Adv Manuf Technol 88, 3113–3122 (2017). https://doi.org/10.1007/s00170-016-9018-1

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  • DOI: https://doi.org/10.1007/s00170-016-9018-1

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