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Generalized Ilyushin's spaces for a more adequate description of plastic hardening

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Summary

Generalized Ilyushin's deviatoric stress and strain spaces are introduced, which make it possible to apply directly the postulate of isotropy to initially isotropic materials with plastic properties influenced by the third deviatoric stress invariant and to a certain class of initially anisotropic materials. The generalizations proposed are connected with a new concept of description of plastic hardening, the main idea of which is also briefly presented.

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Życzkowski, M., Kurtyka, T. Generalized Ilyushin's spaces for a more adequate description of plastic hardening. Acta Mechanica 52, 1–13 (1984). https://doi.org/10.1007/BF01175961

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  • DOI: https://doi.org/10.1007/BF01175961

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