Hot rolling of a steel is coplex physical proccess that requires coupled thermo-elasto-plastic treatment. In this master thesis we implemented a module in the existing software environment, with which we solve partial differential equations in a meshless manner, that allows iterative solving of nonlinear elasto-plastic problems. We have assumed von Mises model with isotropic hardening and small strain approximation. For space discretization we used local colocation method with polyharmonic radial basis functions. For solving constitutive equations we implemented closest point projection alghoritm. We verificated our alghoritm on a case of a tensionally loaded cube. The solution was compared with commercial package Abaqus and found to have a good fit. Developed alghoritm can be used as a basis for implementation in a simulation system for hot rolling.
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