This work evaluates the possibility of identifying mechanical parameters, especially upper and lower yield points, by the analytical processing of specific elements of the topography of surfaces generated with abrasive waterjet technology. We developed a new system of equations, which are connected with each other in such a way that the result of a calculation is a comprehensive mathematical-physical model, which describes numerically as well as graphically the deformation process of material cutting using an abrasive waterjet. The results of our model have been successfully checked against those obtained by means of a tensile test. The main prospect for future applications of the method presented in this article concerns the identification of mechanical parameters associated with the prediction of material behavior. The findings of this study can contribute to a more detailed understanding of the relationships: material properties-tool properties-deformation properties.

Department of Numerical Methods and Computing Modelling Faculty of Industrial Technologies in Púchov Alexander Dubček University of Trenčín Ivana Krasku 491 30 020 01 Púchov Slovakia

Faculty of Manufacturing Technologies with a Seat in Prešov Technical University of Kosice Bayerova Street 1 080 01 Prešov Slovakia

Institute of Nanotechnology Karlsruhe Institute of Technology Hermann von Helmholtz Platz 1 76344 Eggenstein Leopoldshafen Germany

Institute of Physics Faculty of Mining and Geology Vysoká škola báňská Technical University of Ostrava 17 listopadu 15 708 33 Ostrava Czech Republic

Regional Materials Science and Technology Centre Vysoká škola báňská Technical University of Ostrava 17 listopadu 15 708 33 Ostrava Czech Republic

Technical Faculty Slovak University of Agriculture in Nitra Tr A Hlinku 2 949 76 Nitra Slovakia

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Investigation of Surface Roughness and Predictive Modelling of Machining Stellite 6