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.
- K. Oswatitsch, Physikalische Grundlagen der Strömungslehre, Handbuch der Physik (herausgegeben von S. Flügge), Bd. 8/1, Strömungsmechanik I (Mitherausgeber C. Truesdell), Springer-Verlag, Berlin-Göttingen-Heidelberg, 1959, pp. 1–124 (German). MR 0108115
- R. Hill, The Mathematical Theory of Plasticity, Oxford, at the Clarendon Press, 1950. MR 0037721
- R. T. Shield, On the plastic flow of metals under conditions of axial symmetry, Proc. Roy. Soc. London Ser. A 233 (1955), 267–287. MR 75067, DOI https://doi.org/10.1098/rspa.1955.0262
J. L. Dais, An isotropic frictional theory for a granular medium with or without cohesion, Brown University Tech. Report No. NSF–GK1013/6
J. Serrin, Mathematical principles of classical fluid mechanics, Handbuch der Physik, Bd. VIII/1, Springer, Berlin-Göttingen-Heidelberg, 1959, pp. 125–263
R. Hill, The mathematical theory of plasticity, Macmillan, New York, 1950
R. T. Shield, On the plastic flow of metal under conditions of axial symmetry, Proc. Roy. Soc. A 233, 267–287 (1955)
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
Article copyright:
© Copyright 1969
American Mathematical Society
