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Formalization of models of a deformable polycrystalline material in terms of mesomechanics

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Abstract

The stage of formalization is necessary for constructing an adequate mathematical model of any phenomenon. By the example of a deformable polycrystalline material, it is shown that the formalization algorithm is based on a closed set of definitions, which represents the material under study as an open nonlinear dynamic structurally stable hierarchical (multilevel) dissipative self-organizing information system. Formalization principles, as applied to models of plastic deformation under static loading, are experimentally verified with polycrystalline fcc materials (MO copper and 08Kh18N10T austenitic steel).

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Translated from Zhurnal Tekhnichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) Fiziki, Vol. 72, No. 4, 2002, pp. 41–45.

Original Russian Text Copyright © 2002 by Ostashev, Shevchenko.

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Ostashev, V.V., Shevchenko, O.D. Formalization of models of a deformable polycrystalline material in terms of mesomechanics. Tech. Phys. 47, 415–418 (2002). https://doi.org/10.1134/1.1470587

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  • DOI: https://doi.org/10.1134/1.1470587

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