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Kinematics of the nonsteady axi-symmetric ideal plastic flow process

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Abstract

A nonsteady axi-symmetric ideal flow solution is obtained here. It is based on the rigid perfect-plastic constitutive law with the Tresca yield condition and its associated flow rule. The process is to deform a circular solid disk into a spherical shell of prescribed geometry. It is assumed that there are no rigid zones and friction stresses. The solution obtained provides the distribution of kinematic variables and involves one undetermined function of the time. This function can be in general found by superimposing an optimality criterion.

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References

  1. O. Richmond and M. L. Devenpeck,Proc. 4th U.S. Natn. Cong. Appl. Mech., 1053 (1962).

  2. R. Hill,J. Mech. Phys. Solids,15, 223 (1967).

    Article  Google Scholar 

  3. K. Chung and O. Richmond,J. Appl. Mech.,61, 176 (1994).

    Article  Google Scholar 

  4. O. Richmond and S. Alexandrov,Acta Mech.,158, 33 (2002).

    Article  Google Scholar 

  5. O. Richmond and H. L. Morrison,J. Mech. Phys. Solids,15, 195 (1967).

    Article  Google Scholar 

  6. O. Richmond,Mechanics of Soild States, 154 (1968).

  7. H. C. Sortais and S. Kobayashi,Int. J. Mach. Tool Des. Res.,8, 61 (1968).

    Article  Google Scholar 

  8. K. Chung, W. Lee, T. J. Kang, and J. R. Youn,Fiber. Polym.,3, 120 (2002).

    Article  CAS  Google Scholar 

  9. K. Chung, W. Lee, and W. R. Yu,J. Korean Fiber Soc.,3, 407 (2002).

    Google Scholar 

  10. K. Chung, W. Lee, O. Richmond, and S. Alexandrov,Int. J. Plasticity (accepted).

  11. S. Alexandrov, W. Lee, and K. Chung,Acta Mech. (accepted).

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Authors and Affiliations

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

    S. Alexandrov, W. Lee & K. Chung

  2. School of Materials Science and Engineering, Seoul National University, 151-742, Seoul, Korea

    W. Lee & K. Chung

  3. Research Institute of Advanced Materials, Seoul National University, 151-742, Seoul, Korea

    K. Chung

Authors
  1. S. Alexandrov
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  2. W. Lee
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  3. K. Chung
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Correspondence to K. Chung.

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Alexandrov, S., Lee, W. & Chung, K. Kinematics of the nonsteady axi-symmetric ideal plastic flow process. Fiber Polym 5, 209–212 (2004). https://doi.org/10.1007/BF02903001

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  • DOI: https://doi.org/10.1007/BF02903001

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