Complex Network Methods for Plastic Deformation Dynamics in Metals
Arnold Kiv,
Arkady Bryukhanov,
Vladimir Soloviev,
Andrii Bielinskyi,
Taras Kavetskyy,
Dmytro Dyachok,
Ivan Donchev,
Viktor Lukashin
Affiliations
Arnold Kiv
Department of Materials Engineering, Ben-Gurion University of the Negev, Beer Sheva 8410501, Israel
Arkady Bryukhanov
Department of Innovative Technologies and Methods of Teaching Natural Sciences, South Ukrainian National Pedagogical University Named after K.D. Ushinsky, 65020 Odesa, Ukraine
Vladimir Soloviev
Department of Computer Science and Applied Mathematics, Kryvyi Rih State Pedagogical University, 50086 Kryvyi Rih, Ukraine
Andrii Bielinskyi
Department of Computer Science and Applied Mathematics, Kryvyi Rih State Pedagogical University, 50086 Kryvyi Rih, Ukraine
Taras Kavetskyy
Department of Biology and Chemistry, Drohobych Ivan Franko State Pedagogical University, 82100 Drohobych, Ukraine
Dmytro Dyachok
Department of Innovative Technologies and Methods of Teaching Natural Sciences, South Ukrainian National Pedagogical University Named after K.D. Ushinsky, 65020 Odesa, Ukraine
Ivan Donchev
Department of Innovative Technologies and Methods of Teaching Natural Sciences, South Ukrainian National Pedagogical University Named after K.D. Ushinsky, 65020 Odesa, Ukraine
Viktor Lukashin
Department of Innovative Technologies and Methods of Teaching Natural Sciences, South Ukrainian National Pedagogical University Named after K.D. Ushinsky, 65020 Odesa, Ukraine
Plastic deformation of DC04 steel is regarded as a nonlinear, complex, irreversible, and self-organized process. The stress–strain time series analysis provided the possibility to identify areas of (quasi-)elastic deformation, plastic deformation, and necking. The latter two regions are the most informative. The area of inelastic deformation is reflected by collective, self-organized processes that lead to the formation of pores, and finally, the development of microcracks and a general crack as the cause of sample failure. Network measures for the quantitative assessment of the structural deformations in metals are proposed. Both spectral and topological measures of network complexity were found to be especially informative. According to our results, they can be used not only to classify the stages of plastic deformation, but also, they can be applied as a precursor of the material destruction process.