TOWARDS ELASTOPLASTIC DEFORMATION OF A SOLID BODY BY THE HYBRID GODUNOV METHOD AND BY THE MULTIDIMENSIONAL NODAL METHOD OF CHARACTERISTICS

The paper presents the hybrid Godunov method designed for numerical calculation of elastoplastic deformation of a solid body within the framework of the Prandtl–Reuss model with a nonbarotropic equation of state. The Mises fl ow rule (yield creation) was used as a criterion for the transition from an elastic state to a plastic state. In calculating fl ow variables on the faces of adjacent cells, use was made of a linearized Riemann solver whose algorithm employs right own vectors of the model equation system. For equations written in a divergent form, use is made of fi nite-volume formulas, and for others that are not reducible to a divergent form, fi nite diff erence relationships are employed. Also, a description is given of a multidimensional nodal method of characteristics based on a coordinate splitting of the original system of equations into a number of one-dimensional subsystems with their subsequent integration with the help of a one-dimensional nodal method of characteristics. Using the proposed methods, a number of model problems has been calculated.
   
Author:  V. S. Surov
Keywords:  elastoplastic deformation of a solid body, hybrid Godunov method, multidimensional nodal method of characteristics
Page:  830