FLAT PLASTIC DEFORMATION IN GEOMETRICALLY NONLINEAR ARRAYS PROVIDED PLASTICITY MISES
S. V. BAKUSHEV *
Penza State University of Architecture and Construction, Street Titov, 28, 440028 Penza, Russia
*Author to whom correspondence should be addressed.
Abstract
In this article is considered the creation of resolving combined differential equations of plane strain plastic deformation of von Mises' plasticity condition for continuous bodies, the mechanics of which is described by geometrically nonlinear models in the sense of V. Novozhilov, which is to say abandoning the consolidation principle. There is shown, that the resolving system construction of differential equations of plain plastic flow on condition of von Mises' yield includes both equation of equilibrium and physical relations.
Keywords: Plasticity, plane strain deformation, condition of von Mises' yield, geometrical nonlinearity