MODELING THE PROCESS OF PLASTIC DEFORMATION IN CRYSTAL MATERIALS USING RIEMANN GEOMETRY
BORIS SEMUKHIN *
Institute of Strength Physics and Materials Science, Siberian Branch of Russian Academy of Sciences (ISPMS SB RAS), 2/4, Pr. Akademicheskii, Tomsk, 634021, Russia.
*Author to whom correspondence should be addressed.
Abstract
The article proposes an application of the block structure model for the deformation processes using a paradigm of Riemann geometry. The simulation of deformation curves employing the self-organization laws is used to model possible deformation stages. The proposed model is applicable to poly-, mono- and nanocrystalline materials and various practical implications.
Keywords: Block structure, plastic deformation, deformation curves