AN ANISOTROPIC CLOSURE MODEL FOR ELASTO-PLASTICITY EQUATIONS OF A MULTI-MATERIAL MEDIUM IN MIXED CELLS
A.L. Stadnik, Yu. V. Yanilkin, O. O. Toporova
VANT. Ser.: Mat. Mod. Fiz. Proc 2023. Вып.4. С. 3-16.
In the Elerian-Lagrangian and Eulerian methods for the simulation of elasto-plastic flows mixed cells may contain material-material interfaces. A two-stage approach is used in the ALE methods. In the first (Lagrangian) stage, the elasto-plasticity equations without convective terms are considered, the convective transport equation is taken into account in the second stage. The paper describes a new anisotropic closure model used in the Lagrangian stage for the elasto-plasticity equations in mixed cells containing two, or more components of the medium. The model is implemented in the 2D EGAK code. Problem setups and results of computations for the 2D and one 1D test problems demonstrating the new method advantages are presented. Keywords: closure model, mixed cell, multi-material medium, finite difference methods, numerical simulation, two-dimensional flows, elasto-plasticity.
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