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Helical flow of plastic materials

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Summary

An exact closed form solution is given for steady helical flow of plastic materials. Material behaviour is governed by the von-Mises flow rule in conjunction with a rigid/linear-hardening stress-strain characteristic. A restricted version of the general solution is used, as an example, for simulating the helical motion of a rough rigid tool through a circular cylindrical tunnel which is embedded in an infinite plastic medium. It is shown that wall friction induces a plastic boundary layer into the medium. The influence of wall pressure, wall friction and material properties on the behaviour within the boundary layer is discussed. It is also pointed out that no such helical flow pattern is possible for a rigid/perfectly-plastic material.

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References

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Authors and Affiliations

  1. Department of Aeronautical Engineering, Technion-Israel Institute of Technology, Haifa, Israel

    D. Durban & M. R. Sitzer

Authors
  1. D. Durban
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  2. M. R. Sitzer
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Additional information

This paper is based on a part of a thesis to be submitted by M. R. Sitzer to the Technion-Israel Institute of Technology, Haifa, Israel, in partial fulfillment of the requirements for the Degree of Doctor of Science.

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Durban, D., Sitzer, M.R. Helical flow of plastic materials. Acta Mechanica 50, 135–140 (1983). https://doi.org/10.1007/BF01170447

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  • DOI: https://doi.org/10.1007/BF01170447

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