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The equivalence of the radial return and Mendelson methods for integrating the classical plasticity equations

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Abstract

The radial return method is a well-known algorithm for integrating the classical plasticity equations. Mendelson presented an alternative method for integrating these equations in terms of the so-called plastic strain—total strain plasticity relations. In the present communication, it is shown that, although the two methods appear to be unrelated, they are actually equivalent. A table is provided demonstrating the step by step correspondence of the radial return and Mendelson algorithms in the case of isotropic hardening.

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References

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Authors and Affiliations

  1. Ohio Aerospace Institute, Cleveland, OH, USA

    Brett A. Bednarcyk

  2. Tel Aviv University, Ramat-Aviv, Israel

    Jacob Aboudi

  3. NASA Glenn Research Center, Cleveland, OH, USA

    Steven M. Arnold

Authors
  1. Brett A. Bednarcyk
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  2. Jacob Aboudi
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  3. Steven M. Arnold
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Correspondence to Brett A. Bednarcyk.

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Bednarcyk, B.A., Aboudi, J. & Arnold, S.M. The equivalence of the radial return and Mendelson methods for integrating the classical plasticity equations. Comput Mech 41, 733–737 (2008). https://doi.org/10.1007/s00466-007-0228-0

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  • DOI: https://doi.org/10.1007/s00466-007-0228-0

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