Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



On stress-strain relations for isotropic rigid perfectly plastic solids

Author: J. L. Dais
Journal: Quart. Appl. Math. 27 (1969), 263-266
DOI: https://doi.org/10.1090/qam/99825
MathSciNet review: QAM99825
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Abstract | References | Additional Information

Abstract: Sufficient conditions under which principal directions of stress and strain rate must coincide are established rigorously. It is the coincidence of these directions which permits a proper interpretation of principal strain rate components in principal stress space.

References [Enhancements On Off] (What's this?)

  • [1] J. Serrin, Mathematical principles of classical fluid mechanics, Handbuch der Physik, Bd. VIII/1, Springer, Berlin-Göttingen-Heidelberg, 1959, pp. 125-263 MR 0108116
  • [2] R. Hill, The mathematical theory of plasticity, Macmillan, New York, 1950 MR 0037721
  • [3] R. T. Shield, On the plastic flow of metal under conditions of axial symmetry, Proc. Roy. Soc. A 233, 267-287 (1955) MR 0075067
  • [4] J. L. Dais, An isotropic frictional theory for a granular medium with or without cohesion, Brown University Tech. Report No. NSF-GK1013/6

Additional Information

DOI: https://doi.org/10.1090/qam/99825
Article copyright: © Copyright 1969 American Mathematical Society

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