Variants of development of the previously obtained results aimed at increasing
reliability of description of the subsequent yield surface (SYS) evolution of polycrystalline
materials with the help of phenomenological models of the theory of rheonomous plasticity
are suggested and briefly substantiated. The results of successful computer simulation of wellknown
experiments containing discrepant data on SYS are presented. The introduced
phenomenological model permitted to explain the known effect of the influence of the type of
unloading on an experimental SYS.
Keywords: rheonomous plasticity; subsequent yield surface; polycrystalline materials; hyperellipsoid of revolution; Stieltjes integrals, reasons of experimental paradoxes; base experiment.
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