Abstract
In studying internal instability effects for elastic (which is fully obvious) and elastoplastic models of deformable bodies the approximate approach [12, 15] in the three-dimensional stability theory leads to results which disagree quantitatively and qualitatively with the corresponding results of the three-dimensional linearzed stability theory of deformable bodies (the second variant of the theory of small subcritical deformations). In this connection, in studying internal instability effects for various models of deformable bodies, in which elastic or elastoplastic deformations are substantial, the use of this approximate approach is recommended.
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