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The paper presents the results of 3D modeling the process of abrasive waterjet cutting of structural carbon and stainless steel workpiece. The Johnson-Cook model is selected as a material model. Distributions of stress fields in the cutting zone are obtained, as well as the dependences of depth of cut on jet traverse rate at jet velocities of 400 ... 700 m / s and dependences of cutting force on jet velocity at jet traverse rates of 100 ... 400 mm / min.

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