The paper solves the problem of the nonexistence of a new method for calculation of dynamics of stress-deformation states of deformation tool-material systems including the construction of stress-strain diagrams. The presented solution focuses on explaining the mechanical behavior of materials after cutting by abrasive waterjet technology (AWJ), especially from the point of view of generated surface topography. AWJ is a flexible tool accurately responding to the mechanical resistance of the material according to the accurately determined shape and roughness of machined surfaces. From the surface topography, it is possible to resolve the transition from ideally elastic to quasi-elastic and plastic stress-strain states. For detecting the surface structure, an optical profilometer was used. Based on the analysis of experimental measurements and the results of analytical studies, a mathematical-physical model was created and an exact method of acquiring the equivalents of mechanical parameters from the topography of surfaces generated by abrasive waterjet cutting and external stress in general was determined. The results of the new approach to the construction of stress-strain diagrams are presented. The calculated values agreed very well with those obtained by a certified laboratory VÚHŽ.

Faculty of Manufacturing Technologies of TUKE with a seat in Prešov Prešov 080 01 Slovakia

Griffith School of Engineering Griffith University Southport Queensland 4214 Australia

Institute of Clean Technologies for Mining and Utilization of Raw Materials for Energy Use Faculty of Mining and Geology VŠB Technical University of Ostrava 708 33 Ostrava Czech Republic

Institute of Nanotechnology Karlsruhe Institute of Technology 76344Eggenstein Leopoldshafen Germany

Institute of Physics Faculty of Mining and Geology VŠB Technical University of Ostrava 708 33 Ostrava Czech Republic

Laboratory of Mechanical Properties VÚHŽ 739 51 Dobrá Czech Republic

Nanotechnology Centre VŠB Technical University of Ostrava 708 33 Ostrava Czech Republic

RMTVC Faculty of Metallurgy and Materials Engineering VŠB Technical University of Ostrava 708 33 Ostrava Czech Republic

Turkish Naval Academy 34942 Istanbul Turkey

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