Details

Autor(en) / Beteiligte

• Surov, V. S.

Titel

Towards Elastoplastic Deformation of a Solid Body by the Hybrid Godunov Method and by the Multidimensional Nodal Method of Characteristics

Ist Teil von

• Journal of engineering physics and thermophysics, 2022-05, Vol.95 (3), p.830-845

Ort / Verlag

New York: Springer US

Erscheinungsjahr

2022

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• 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 flow rule (yield creation) was used as a criterion for the transition from an elastic state to a plastic state. In calculating flow 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 finite-volume formulas, and for others that are not reducible to a divergent form, finite difference 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.