MODELING THE PROCESSES OF COMPLEX ELASTOPLASTIC DEFORMATION OF MATERIALS ALONG FLAT CURVILINEAR TRAJECTORIES

Abstract

Basic equations of the theory of plastic deformation process in plane problems are presented, as well as their mathematical model accounting for the generalized Bauschinger effect for complex loading. To solve the basic equations, universal approximations of process functionals and the fourth-order accuracy Runge - Kutta numerical method are used. To validate the reliability of the computed results, they are compared against the experimental results obtained using the SN-EVM automated test stand. For the implemented trajectory of complex deformation, the computed data for the above mathematical model of the theory of processes differ from the experimental data by not more than 7-8% in the scalar and 10% in the vector characteristics, which validates the reliability of the introduced mathematical model.

Keywords: elasticity, plasticity, complex loading, mathematical model, deformation trajectory, vector and scalar material characteristics, SN-EVM test stand.