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The article presents a method of numerical modelling of the load on pre-stressed dies. Numerical modelling was performed in two stages. In the first stage, a simulation of the process of extruding with stiff tools was performed. In the second stage,load on the tools obtained in the first stage wasimplemented and strength tests of the dies were performed. Four construction variants of the toolsmade of steel and sintered carbidewere analysed. In the first set of tools,amonolithic die with a container was used. In the second set, a die and a divided container wereapplied. In the third set, a die and a container stressed with a singular ring were used. In the last set,a die with a container stressed with two rings wasanalysed. As a result, distributions of reduced, radial, tangential,and axial stresses were presented for various construction variants.Die and container made of sintered carbide stressed with two rings ensure the necessary strength of tools and correct progression of the process.