Numerical Solution of Coupled Dynamic Problems of Thermoplastic Processes using Non-Uniform Grids

2023/05/02 by Djumayozov, U.Z., Eshmanova, N.F., Ibadullaeva, Z.K.

paper · doi:10.34920/ijtaidt/vol_2023_issue_1_4

Abstract

This article considers a new approach for the numerical solution of two-dimensional dynamic problems of thermo-elastic plasticity. Ilyushin's deformation theory is used as a model. Discrete equations are based on non-uniform grid equations. The essence of using non-uniform grids is that it is possible to thicken the grid if there are features in the area under consideration. As an example, a two-dimensional dynamic coupled thermoplastic problem for an isotropic material is numerically solved. The influence of the temperature field on the thermally stressed state of a solid is estimated. Based on numerical results, the dynamics of deformation and the appearance of plasticity zones in the two-dimensional region under consideration are shown.

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