Mathematical Modelling of Processes of Combined Stress Taking Into Account Changes of Elastic Properties at Plastic Deformation

Abstract

The change of elastic constants of material owing to elastic plastic deformation is considered in the article. Therefore, the elastic and plastic components of full deformation change and define borders of an elastic kernel. An attempt to determine approaches using changing elasticity modules at mathematical modeling of processes of combined stress is made, expressions of modules of elasticity E are given at a clean bend, G shift – at a cross bend and torsion on condition of transition of material from an elastic state to plastic.