Numerical modeling of coupled problems of thermoplasticity on non-uniform meshes

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

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